Given the table below, write a linear equation that defines the
dependent variable, a, in terms of the independent variable, p.

Someone help

Given The Table Below, Write A Linear Equation That Defines Thedependent Variable, A, In Terms Of The

Answers

Answer 1

Answer:

a = 4p + 3

Step-by-step explanation:

The general form of a linear equation is y = mx + b

where y is the dependent variable, x the independent variable

m = slope(rate of change)

b = y-intercept which is the value of y when x = 0

In this problem, instead of x we are asked to use p and instead of y we are using a

Therefore we get

a = mp + b

We have to compute m and b

Since b is the value of a when p = 0, we can easily see that a = 3 when p = 0

Therefore:
a = mp + 3

To determine m, take any value of p, find the corresponding a from the table, plug in these values and solve for m

When  p = 1, a= 7

So we get

7 = m(1) + 3

7 = m + 3

or

m = 7-3 = 4


So the equation is
a = 4p + 3

You can verify this as correct by plugging in different values for p from the table and checking if you get the corresponding a value


Related Questions

Your employer pays you 1 1/2 times your normal wage on holidays. If your normal hourly wage is $12/hour. how much will you make per hour on the holiday?

Answers

Answer: $18/hour

12 x 1.5 = 18

The solution must be complete, with explanations that are based on already studied facts, formulas, definitions, axioms, theorems and consequences from them.

All assignments require drawing.



Exercise 1.

Rectangle ABCD is given. The line a is parallel to AD and does not lie in the plane of the rectangle.

a) Prove that a||BC (7 points).

b) Prove that lines a and BD are intersecting (7 points).

c) Determine the cosine of the angle between the lines a and BD, if AB = 18 cm, BC = 24 cm. Justify your answer (15 points).



Task 2.

Given a rectangular box MNKLM1N1K1L1. The point E lies on the edge KK1, the point G lies on the edge NK, and the point F lies on the bottom face.

a) Construct a section of a parallelepiped by three given points E, F, G. Explain the construction of each of the segments (22 points).

b) Indicate the name (type) of the resulting polygon and shade its inner part (8 points).

1



Task 3.

An isosceles triangle ABC with base AB is given. From a point S lying outside the plane ABC, a perpendicular is dropped to point C.

a) Draw the linear angle of the dihedral angle SABC. Explain why this particular angle is the linear angle of the dihedral angle (16 points).

b) Find SC if AC = BC = 15 cm, AB = 18 cm, dihedral angle SABC is 30° (25 points).

Answers

Answer:

and the point F lies on the bottom face.

a) Construct a section of a parallelepiped by three given points E, F, G. Explain the construction of each of the segments (22 points).

b) Indicate the name (type) of the resulting polygon and shade its inner part (8 points).

1

Task 3.

An isosceles triangle ABC with base AB is given. From a point S lying outside the plane ABC, a perpendicular is dropped to point C.

a) Draw the linear angle of the dihedral angle SABC. Explain why this particular

Question
DIG DEEPER A group of friends visits a movie theater.

A menu of Royal Cinemas shows cost of tickets and refreshments. The cost of daytime and evening tickets are 5 dollars and 7.50 dollars respectively. The cost of small, medium, and large drinks are 1.75 dollars, 2.75 dollars, and 3.50 dollars respectively. The cost of small and large popcorns are 3 dollars and 4 dollars respectively.

Each person buys a daytime ticket and a small drink. The group shares 2 large popcorn. What is the average cost per person when there are 4 people in the group?

Answers

The average cost per person when there are 4 people in the group is of:

$8.75.

How to obtain the average cost per person?

The average cost per person represents the mean cost per person in the data-set.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Hence, the average cost per person in this problem is obtained as the division of the total spending by four, as there are four people.

The total spending is obtained as follows:

Four daytime tickets -> 4 tickets of 5 dollars.Four small drinks -> 4 drinks of 1.75 dollars.Two large popcorns -> 2 popcorns of 4 dollars.

Hence the numeric value of the total spending is of:

4 x (5 + 1.75) + 2 x 4 = $35.

Thus the average spending per person is of:

$35/4 = $8.75.

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If a person travels at a speed of 28 m/s for 10 seconds, how far have they traveled?

Answers

It is a uniform rectilinear movement which is one in which an object moves in a straight line, in one only direction, with a constant speed.

When we spoke of constant speed we mean that the movement retains the same speed, that is; that the object does not move faster, or slower and always at the same speed.

If a person travels at a speed of 28 m/s for 10 seconds, how far have they traveled?

We obtain the data, as specified by the exercise.

Data:

 V = 28 m/s

 T = 10 s

 D = ?

We have that the uniform motion formula is:

     [tex]\large\displaystyle\text{$\begin{gathered}\sf V=\dfrac{d}{t}, \to where \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf V=Speed \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf D=distance \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf T=Time \end{gathered}$}[/tex]

We solve the formula, to calculate the distance and we obtain.And we also substitute our data.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=v*t} \end{gathered}$} }[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=28 \ \frac{m}{\not{s}}*10 \not{s} } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=280 \ m } \end{gathered}$}}}[/tex]

The person travels a distance of 280 meters.

Use the definition of the integral (the long way) to evaluate the integral

Answers

The answer is 10.67. It can be calculated by integrating and then applying the limits.

What is the integration of [tex]x^n[/tex]?

The integration of power of a variable is given by the following formula:

[tex]\int x^ndx=\frac{x^{n+1}}{n+1}[/tex]

If limits are there then limits can be applied after integration.

Consider the given function.

[tex]\int^3_1(x^2-4x+9)dx[/tex]

Now, apply integration on each term as follows:

[tex]\int^3_1x^2dx-4\int^3_1xdx+9\int^3_1dx[/tex]

Now, use the following formula to integrate:

[tex]\int x^ndx=\frac{x^{n+1}}{n+1}[/tex]

Now, the integration will look like as follows:

[tex][x^3/3]^3_1-4[x^2/2]^3_1+9[x/1]^3_1[/tex]

Now, apply limits to find the answer as follows:

[tex][3^3/3-1^3/3]-4[3^2/2-1^2/2]+9[3-1]\\[/tex]

[tex][9-\frac{1}{3}]-4[9/2-1/2]+18\\10.67[/tex]

Hence, the answer is 10.67. It can be calculated by integrating and then applying the limits.

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Band students are tested on, and required to pass, a certain number of scales during the year. As of today, Becky has passed 4 scales, whereas her friend Charlotte has passed 8 of them. Going forward, Becky has committed to passing 4 scales per week, and Charlotte has committed to passing 2 per week. At some point soon, the two friends will have passed the same number of scales. How long will that take? How many scales will that be?

Answers

They each will pass 12 scales.

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

It is given that Becky has passed 4 scales, whereas her friend Charlotte has passed 8 of them.

Going forward, Becky has committed to passing 4 scales per week, and Charlotte has committed to passing 2 per week.

Let number of weeks be x

Becky has passed 4x + 4

Charlotte has passed 2x + 8

According to question:

4x + 4 = 2x + 8

4x - 2x = 8 - 4

2x = 4

x = 4/2 = 2

Becky has passed 4x + 4 = 4(2) + 4 = 8 + 4 = 12

Charlotte has passed 2x + 8 = 2(2) + 8 = 4 + 8 = 12

Therefore, They each will pass 12 scales.

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Super confused! Please help! Explanation would be amazing, thanks! :)

Answers

Answer:

A = 29°

Step-by-step explanation:

set

(3x-4) + (9x+17) + (6x-31) = 180

Solve for x

18x - 18= 180

18x = 198

x = 11

So A will be

A = 3x - 4

A = 3(11) - 4

A = 29°

Answer:

116°

Step-by-step explanation:

total angle of a triangle: 180°

thus, (3x-4)+(9x+17)+(6x-31)= 180°.3x-4+9x+17+6x-31= 180° 18x-18= 180° 18x= 198° x= 198°/18 x= 11°

angle of A: (9x+17)°9(11)+17= 99+17 = 116°

Find the sum (9 + 6) (mod 10)

Answers

Answer:

15d10mo

Step-by-step explanation:

Simplify:

(9+6)(mod10)

=15d10mo

Suppose we flipped a coin and rolled a die, what is the probability of getting a tail on the coin or a 3 on the die?

Answers

Answer:

The probability of a head of a die is 1/6 and that of a side of a coin

what is a compressed graph

Answers

Answer: A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.

Step-by-step explanation:

Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient.Where should he place the decimal point? Use number sense to explain

Answers

Malcolm should place the decimal point immediately after one (1) or before three (3) as follows: 8.25/6 = 1.375.

What is a quotient?

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

As a general rule, the smaller the divisor (denominator) of a mathematical expression, the larger would be the quotient. This ultimately implies that, a quotient would be large when the divisor (denominator) of a mathematical expression is small.

On the other hand (conversely), a quotient would be small when the divisor (denominator) of a mathematical expression is large.

Based on Malcom's calculations, he forgot to place the decimal point in the following expression;

8.25/6 = 1375

Next, we would determine the maximum value of this quotient;

8.25/6 = 12/6

8.25/6 = 2

Therefore, the whole number part for this decimal number would be one (1) and as such, the decimal point must be placed immediately after 1 as follows;

8.25/6 = 1.375

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Complete Question;

Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient. Where should he place the decimal point? Use number sense to explain.

8.25/6 = 1375

Please help, I will give brainliests to the person to answer correctly.

Answers

The animal which travel at a rate of 1.5 meters per minutes is ants.

The correct answer option is option D

Which animal travel at 1.5 meters per minutes?

Based on the given task content, it can be solved using fraction.

Speed refers to the rate of change of distance at a given time period.

Average speed = Total distance / Time taken

Turtle = Total distance / Time taken

= 6/5

= 1.2 meters per minutes

Snail = Total distance / Time taken

= 4/8

= 0.5 meters per minutes

Caterpillar = Total distance / Time taken

= 7/7

= 1 meters per minutes

Ant = Total distance / Time taken

= 12/8

= 1.5 meters per minutes

In conclusion, ant is the animal which has an average speed of 1.5 meters per minutes

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Help please quick!!!!!!

Answers

first one

2x+43 = 180

.....

how to solve for reflection under transformation​

Answers

Reflection over Y = X

Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated. Therefore, The reflection of the point (x, y) across the line y = x is (y, x). The reflection of the point (x, y) across the line y = – x is (-y, -x).

Hope this helps!

Donna buys 4 hardcover books for h dollars each and 5 paperback books
for p dollars each. Sales tax is 8%. Which expression represents the total
cost of Donna's purchase?
A (4h + 5p) (1.08)
B. (4h + 5p)(0.08)
C. (4h + 5p) + 1.08
D. (4h + 5p) + 0.08

Answers

The answer is A :)
The 1.08 represents the sales tax of 8%

pre calc
combine radicals/fractional exponents

Answers

[tex]\begin{array}{llll} ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \end{array} ~\hfill \begin{array}{llll} \textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{6x^{-1}y^{-1}}{\sqrt[4]{xy^4}}\implies \cfrac{6x^{-1}y^{-1}}{\left( xy^4 \right)^{\frac{1}{4}} }\implies \cfrac{6x^{-1}y^{-1}}{x^{\frac{1}{4}} y^{4\cdot \frac{1}{4}}}\implies \cfrac{6x^{-1}y^{-1}}{x^{\frac{1}{4}} y^1}\implies \cfrac{6x^{-1}y^{-1}x^{-\frac{1}{4}} y^{-1}}{1}[/tex]

[tex]6x^{-1}x^{-\frac{1}{4}}y^{-1} y^{-1}\implies 6x^{-1-\frac{1}{4}} y^{-1-1}\implies {\Large \begin{array}{llll} \underset{\textit{\small a}}{6} \stackrel{\textit{\small ~~ b}}{x^{-\frac{5}{4}}} \stackrel{\textit{\small ~~ c}}{y^{-2}} \end{array}}[/tex]

A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 6 in. and a volume of V = 8πx^2 + 24πx + 18π, what is its radius r in terms of x?

A. R = 3x + 2
B. 4x^2 + 12x +9
C. 2x + 3
D. (2x + 3) (2x -3)

Which one is the answer? A explanation would be nice too! (Many points!)

Answers

Answer: C. 2x+3

Step-by-step explanation:

[tex]\displaystyle\\V=\frac{\pi r^2h}{3} \\\\V=\frac{\pi r^2(6)}{3}\\\\V=2\pi r^2\\\\\\8\pi x^2+24\pi x+18\pi \\\\V=2\pi (4x^2+12\pi +9)\\\\V=2\pi ((2x)^2+2(2x)(3)+3^2)\\\\V=2\pi (2x+3)^2\\\\THUS,\\[/tex]

[tex]2\pi r^2=2\pi (2x+3)^2[/tex]

Divide both parts of the equation by 2π:

[tex]r^2=(2x+3)^2[/tex]

Extract the square root of both parts of the equation:

[tex]r=2x+3[/tex]

Evaluate the expression -10x(-7)

Answers

Answer:

70x

Step-by-step explanation:

multiply -10 and -7 for the coefficient

Answer: 70x

Step-by-step explanation:

The width of a rectangle is 6 yards less than the length. The perimeter is 132 yards. Find the length and width.


Width =

Length =

Answers

The length and width of a rectangle are 36 and 30 yard respectively.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that width of a rectangle is 6 yards less than the length. The perimeter is 132 yards.

Therefore, the perimeter = (2 x length)+(2 x width)

The length = 6 + w

Hence, we have;

132 = (2(6 + w))+(2w)

132 = 12 + 2w + 2w

132 = 12 + 4w

120 = 4w

w = 30

Length = 36 yard.

Thus, the length and width of a rectangle are 36 and 30 yard respectively.

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The high school a athletic director is asked if football players are doing as well as academically asthe other students athletes. We know from a previous study that the average GPA for the student athletes is 3.10. after an initiative to help improve the GPA of students athletes, the athletic director randomly samples 20 football players and finds that the average GPA of the sample is 3.18 with a sample standard deviation of 0.54 is there a significant improvement use a 0.05 significance level

Answers

The athletic director can therefore draw the conclusion that the average academic standing of football players is comparable to the average standing of other student athletes.

Explain the term t-distribution?Whenever the population's standard deviation is unknown and the data come from such a normally distributed population, the t-distribution characterizes the standardized distances between the sample means and the population mean.

The following formula is used to determine the test statistic:

SRS, s = 0.54, n = 40 > 30,

x = 3.18

H0: μ = 3.10

H1: μ > 3.10

α = 0.05

The t-distribution table and our alpha level of.05 are then used to determine our crucial values.

Our critical values are 2.093 for a two specimens with 19 levels of freedom and α = 0.05 level of significance.

t = x -  μ / s/√n

t = 3.18 - 3.10/ 54/√20

t = 0.66

This indicates that the measured sample mean of football players, 3.18, is 0.66 standard errors higher than the 3.10 number that was predicted. We are unable to disprove the null hypothesis because the test statistic's value is below the threshold of 2.093.

As a result, It is clear that sampling error is the only possible explanation for the discrepancy between both the sample mean as well as the hypothesized value.

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F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
Write F ∩ H and F ∩ H using interval notation. If the set is empty, write ∅.

Answers

The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

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Divide (5x^4-33x^3+13x^2+25x+20) by (x-6) using long polynomial divison.

Answers

5x^3-3x^2-5x-5-10 divided by X-6

Find the Maclaurin series of the following functions. Step by step please

Answers

The Maclaurin series of  ln (1 + x³)  is

[tex]= x^3-\dfrac{1}{2}x^6+\frac{1}{3}x^9+\ldots \:[/tex]

The function is given in the question as

h(x) = ln (1 + x³)

Taylor (Maclaurin) series ofln (1 + x³) up to n = 3

A Maclaurin series is given by f(x),

[tex]f\left(x\right)=f\left(a\right)+\frac{f^'\left(a\right)}{1!}\left(x-a\right)+\frac{f^{''}\left(a\right)}{2!}\left(x-a\right)^2+\frac{f^{'''}\left(a\right)}{3!}\left(x-a\right)^3+\ldots[/tex]

[tex]f\left(x\right)=f\left(0\right)+\frac{f^'\left(0\right)}{1!}\left(x\right)+\frac{f^{''}\left(0\right)}{2!}\left(x\right)^2+\frac{f^{'''}\left(0\right)}{3!}\left(x\right)^3+\ldots[/tex]

We need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given point, and plug the results into the given formula.

f⁽⁰⁾(x) = f(x) = ln (1 + x³)

Evaluate the function at the point: f(0)=0

1st derivative: f(1)(x)=(ln(x3+1))′=3x²/(x³+1)  

1st derivative at the given point: (f(0))′=0

2nd derivative: f(2)(x)=(f(1)(x))′=(3x²/(x³+1) )′=3x(2−x³)/(x⁶+2x³+1) 

Evaluate the 2nd derivative at the given point: (f(0))′′=0

3rd derivative: f(3)(x)=(f(2)(x))′= (3x(2−x³)/(x⁶+2x³+1) )′= 6(x⁶−7x³+1)x9+3x⁶+3x³+1

Evaluate the 3rd derivative at the given point: (f(0))′′′=6

Now, use the calculated values to get a polynomial:

f(x)≈0/0!x⁰+0/1!x¹+0/2!x²+6/3!x³+0/4/!x⁴+0/5!x⁵

Thus, the Maclaurin series of  ln (1 + x³)  is

[tex]= x^3-\dfrac{1}{2}x^6+\frac{1}{3}x^9+\ldots \:[/tex]

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Ash spent 50% of his time at the gym lifting weights. If he spent 45 minutes lifting weights, how many minutes was he at the gym? Use any strategy to solve.

Answers

If 45 is 50%, 45 x 2 would equal 100%

Ash spent 90 minutes at the gym

Two dice are rolled, find the probability that the total showing is less than 10.

Answers

The probability that the total showing is less than 10 is 5/6.

What is a expression? What is a mathematical equation? What is Probability?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given are two dices rolled.

The total number of favorable outcomes can be calculated as -

[a] = (1,1) to (1,6) = 6

[b] = (2,1) to (2,6) = 6

[c] = (3,1) to (3,6) = 6

[d] = (4,1) to (4,5) = 5

[e] = (5,1) to (5,4) = 4

[f] = (6,1) to (6,3) = 3

n(A) = [a] + [b] + [c] + [d] + [e] + [f] =  6+6+6+5+4+3 = 30

n(S) = 36

So, the probability of occurrence of an event 'A' -

P(A) = n(A)/n(S)

P(A) = 30/36

P(A) = 5/6

Therefore, the probability that the total showing is less than 10 is 5/6.

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what is the slope of the line perpendicular to x-3y=4

Answers

Answer:

-3

Step-by-step explanation:

x - 3y = 4  Write in the slope intercept form.  Subtract x from both sides

-3y = -x + 4  Divide all the way through by -3

y = [tex]\frac{1}{3}[/tex] x - [tex]\frac{4}{3}[/tex]

The slope is the number before the x  ( 1/3 )

The perpendicular slope is the opposite reciprocal or -3

f(x) =x^3 + 2x^2 -2x

Answers

If you’re trying to find the zeros , it’s x=0,−1+√3,−1−√3 .

please see the attached the answer is wrong that i have

Answers

Just re write the answer

The red figure is similar to the blue figure. Which best describes a sequence of transformations in which the blue figure is the image of the red figure?
A.Rotate 90° clockwise about the origin and then dilate with respect to the origin using a scale factor of 12.
B.Rotate 90° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 12.
C.Rotate 90° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 2.
D.Rotate 180° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 3.

Answers

The statement that best describes a sequence of transformations in which the blue figure is the image of the red figure is given as follows:

A. Rotate 90° clockwise about the origin and then dilate with respect to the origin using a scale factor of 1/2.

What are the transformations?

The horizontal side lengths on the blue figure are given as follows:

8 - 4 = 6 - 2 = 4.

The vertical side lengths on the transformed red figure is of:

4 - 2 = 3 - 1 = 2.

Hence the scale factor of the dilation is given as follows:

2/4 = 1/2.

Which means that options C and D are not correct.

The rules for each rotation are given as follows:

90º degrees clockwise: (x,y) -> (y,-x).90º degrees counter-clockwise: (x,y) -> (-y,x).

On the second quadrant, of the blue figure, we have that:

x is negative.y is positive.

On the first quadrant, of the red figure, we have that:

x is positive.y is positive.

Hence the rotation was clockwise, and option A is correct.

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PS Unit 02: Prove These Triangles are Congruent

please help I need this within the next few days and I don't understand how to do it

Answers

Answer:

Step-by-step explanation:

We can use the Side-Side-Side (SSS) Theorem – Three pairs of corresponding sides are congruent in two triangles.

Other Questions
Moonbeam Company manufactures toasters. For the first 8 months of 2020, the company reported the following operating results while operating at 75% of plant capacity:Sales (336,000 units)$4,377,000Cost of goods sold2,592,000Gross profit1,785,000Operating expenses840,000Net income$945,000The cost of goods sold was 70% variable and 30% fixed; operating expenses were 80% variable and 20% fixed.In September, Moonbeam receives a special order for 21,600 toasters at $8.12 each from Luna Company of Ciudad Juarez. Acceptance of the order would result in an additional $3,100 of shipping costs but no increase in fixed costs.Prepare an incremental analysis for the special order. A student bikes 5000 m East to school in 30.0 min (1800 seconds), realizes he forgot his calculator for physics, spends 30.0 min (1800 seconds) going back going home, and then races back to school in 27.0 minutes (1620 seconds).What is the students total distance traveled? _______ meters The number of seconds it took the student to travel back and forth is ________ seconds. Determine the students average speed. ________ m/s what type of leader is described as a humble, giving person who wants nothing in return but to see other people succeed? mary operates a wedding preparation services that aids brides-to-be in the planning of their weddings. to maintain a quality image and a standardized service, mary provides extensive training for each of her employees. what unique aspect of services is mary trying to address? Scientists often experiment with Brassica plants because Brassica plants grow very fast, and they produce seeds 30 days after being planted. This quick maturation allows scientists to study several generations of Brassica plants in a short time. Usually the scientists use Brassica plants to study genetics and inheritance.In one investigation that studied the inheritance of Brassica stem color, scientists crossed a heterozygous dominant (Rr) plant with a homozygous recessive (rr) plant. This resulted in offspring with purple stems (RR or Rr) and offspring with green stems (rr). A Punnett square for this cross is shown below Name the film series, directed by frank capra for the united states army signal corp, that illustrated the importance of wwii to everyday americans?. the company earned $1,600 of commissions revenue that is not yet recorded at month-end. record the required adjusting entry, if any. which of the following statements about cardiac cycle is right ? question 7 options: a) right atrium and right ventricle contract at the same time. b) left ventricle contracts after the contraction of right ventricle. c) left and right ventricles contract at the same time. d) left atrium and left ventricle contract at the same time. in some pentecostal and charismatic christian religions adherents experience an ecstatic religious happening (often associated with shamanism), which is known as group of answer choices praying speaking in tongues pilgrimage meditation What acceleration will you give to a 24. 3 kg box if you push it horizontally with a net force of 85. 5 n?. In a city in Ohio, the sales tax rate is 7.25% . Complete the table.if the sales tax is 1.16 what is the price before tax and the price including the tax explain why gypsum board is an excellent material for providing fire resistance in building assemblies. A particle accelerates from rest with an acceleration of 3 ms2 to a speed V. It continues atthis speed for time T and then decelerates to rest at 1.5 ms. The total time for the motionis 1 minute, and the total distance travelled is 1 km. Find a value for V. which symptom of disease usually arises when an infection or nervous stimulation irritates the bowel wall, resulting in increase peristalsis? which of the following statements about investments in bonds are true? note: select all that apply. check all that apply if the stated rate is higher than the market rate, investors will purchase the bond at a discount. if the stated rate is higher than the market rate, investors will purchase the bond at a discount. if the stated rate is higher than the market rate, investors will purchase the bond at a premium. if the stated rate is higher than the market rate, investors will purchase the bond at a premium. the investor values that stream of future cash flows based on the stated rate of the bond. the investor values that stream of future cash flows based on the stated rate of the bond. the purchase price of a bond security is determined by computing the present value of the related stream of cash flows. Which should the nurse monitor to prevent complications of a client receiving total parenteral nutrition (TPN)?A.Blood glucose levelsB.Potassium levelsC.Liver enzymesD.Thyroid function New england colonists community rules and laws were often base on what principles Consider the following example:Pacific fish are now migrating from the ocean to the river to spawn about two weeks earlier than they did forty years ago.Which of the following principles of natural selection most applies? Select the best answer.genetic drift all genotypes are equally fit CCOO neutral evolution variation heredity sean is spending the day at the water park. he paid to enter the park and can use any water ride an unlimited number of times throughout the day. his favorite ride is the twisty river. alice, who is now in her seventies, tends to ramble on about various topics and has difficulty sustaining attention to the conversations around her. this behavior is likely related to