Rewrite the following question as a function of x.
56 + 7y + 21 = 0

Answer:

68 Degrees

Step-by-step explanation:

A triangle is 180 degrees. So,

Add 75 + 37 = 112

Subtract 112 from 180 = 68

Answer: 68°

Step-by-step explanation: To find the missing angle measure, represented by x, it's important to understand that the sum of the measures of the angles of a triangle is 180°

So to find the value of x, we can

setup the equation x + 75° + 37° = 180°.

Solving from here, we first simplify the left side of the equation.

So 75 + 37 is 112 and we have x + 112° = 180°

Next, to get x by itself, we subtract 112° from both sides.

On the left, the 112's cancel out and we are left with x.

On the right, 180° - 112° is 68°.

So x = 68°.

This means that the missing angle

measure in the triangle shown is 68°.

Answer:

1st Graph

Step-by-step explanation:

Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.

Answer:

Its the first graph

Step-by-step explanation:

got it right on the test

Answer:

(D)E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Step-by-step explanation:

The table of the probability of rolling the sums is presented below.

[tex]\left\begin{array}{ccccccccccccc}$Roll&2&3&4&5&6&7&8&9&10&11&12\\\\$Prob&\frac{1}{36}&\frac{2}{36}&\frac{3}{36}&\frac{4}{36}&\frac{5}{36}&\frac{6}{36}&\frac{5}{36}&\frac{4}{36}&\frac{3}{36}&\frac{2}{36}&\frac{1}{36} \end{array}\right[/tex]

P(an even sum)

[tex]=\frac{1}{36}+\frac{3}{36}+\frac{5}{36}+\frac{5}{36}+\frac{3}{36}+\frac{1}{36} \\\\=\frac{18}{36}[/tex]

Therefore, P(an odd sum) [tex]=\frac{18}{36}[/tex]

Therefore, E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Answer:

D /Even-odds

Step-by-step explanation:

just took test on edge 2020

Answer:

Option D is the correct option

Step-by-step explanation:

As RT is a tangent on point P, so it will form a right angle at point P with the radius.

So, angle APT = 90 degrees.

Hope this helps...

Good luck on your assignment...

The measure of the (angle ATP ) is 90 degrees.

The normal line is defined as the line that is perpendicular to the tangent line at the point of tangency.

As RT is a tangent on point P, so it will form a right angle at point P with the radius.

So, angle APT = 90 degrees.

Option D is the correct option.

To learn more about the tangent visit:

https://brainly.com/question/4470346

Answer:

x=0 , y=4

Step-by-step explanation:

3x - 3y = -12        - eq1

4x + 3y = 12        - eq 2

Add eq 1 and 2

3x - 3y + 4x +3y = -12 + 12

7x = 0

x = 0

By substituting the value of x in  eq 2

4x + 3y = 12

4(0) + 3y = 12

3y = 12

y = 12 / 3

y = 4

Answer:

(x,y)=(24,-28)

Step-by-step explanation:

1. Multiply both sides by -1

3x+3y=-12

-4x-3y-=-12

2. Elimnate one variable by adding the equations

-x=-24

3. Change the signs

x=24

4. Susbstitue the value of x in the equation 3x+3y=-12

3 x 24 + 3 y = -12

y=-28

5. Check the solution by plugging in the values.

(x,y)=(24,-28)

Answer:

10.21 feet.

Step-by-step explanation:

circumference of circle with diameter d is given by [tex]\pi d[/tex]

where r is the radius of the circle.

_____________________________

given

diameter = 6 1/2 = 13/2 feet

\thus, circumference of circle is calculated as following

[tex]circumference = \pi *13/2 = 22/7 * 13/2\\circumference = 11*13/7*2 = 143/14 = 10.21[/tex]

Thus, circumference of given circle is 10.21 feet.

Answer:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Step-by-step explanation:

Given that diameter of clock = 10 units

We know that:

[tex]Radius =\dfrac{Diameter}{2}[/tex]

Radius = 5 units

The length of face will be equal to radius of clock i.e.

Length of face = 5 units

For the question, we need to visualize the clock time 3 o'clock, 6 o'clock, 9 o'clock and 12 o'clock on the coordinate xy axis.

Please refer to the attached graph to have a better understanding.

In every 3 hours the face will move [tex]90^\circ[/tex] i.e. one quadrant as per the location of clock faces.

At 3 o'clock the face will be on the positive x axis.

So coordinate (5, 0)

At 6 o'clock the face will be on the negative y axis.

So coordinate (0, -5)

At 9 o'clock the face will be on the negative x axis.

So coordinate (-5, 0)

At 12 o'clock the face will be on the positive y axis.

So coordinate (0, 5)

So, the answer is:

3 o'clock (5, 0)

6 o'clock (0, -5)

9 o'clock (-5, 0)

12 o'clock (0, 5)

Answer:

12 o'clock (0,5)

3 o'clock  (5,0)

6 o'clock  (0,-5)

9 o'clock (-5, 0)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m of AB

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex]

To find the midpoint of AB use the midpoint formula

M = [ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

with (x₁, y₁ ) = )0, 0) and (x₂, y₂ ) = (2, 3), thus

M = [ [tex]\frac{1}{2}[/tex](0 + 2), [tex]\frac{1}{2}[/tex](0 + 3 )] = (1, [tex]\frac{3}{2}[/tex] )

Partial equation of perpendicular bisector is

y = - [tex]\frac{2}{3}[/tex] x + c

To find c substitute (1, [tex]\frac{3}{2}[/tex] ) into the partial equation

[tex]\frac{3}{2}[/tex] = - [tex]\frac{2}{3}[/tex] + c ⇒ c = [tex]\frac{3}{2}[/tex] + [tex]\frac{2}{3}[/tex] = [tex]\frac{13}{6}[/tex]

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{13}{6}[/tex] → D

======================================================

Explanation:

The simple interest formula to use is

A = P*(1+r*t)

where,

A = account value after t years (original deposit + interest)

P = 1000 = amount deposited (principal)

r = 0.0325 = annual interest rate in decimal form

t = 7 = number of years

So,

A = P*(1+r*t)

A = 1000*(1+0.0325*7)

A = 1227.50

Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest

Answer:

the ratio would be 1:4

Step-by-step explanation:

ratio of those who has nuts:

1/5

ratio of those who dont:

1-1/5=4/5

one against another:

1/5 : 4/5 = 1:4 = with : without

Answer:

X=8.8 and Y=1

Step-by-step explanation:

Answer:

x = -3/2, 1/2

Step-by-step explanation:

(2x + 3)(2x - 1) = 0

2x + 3 = 0, 2x = -3, x = -3/2

2x - 1 = 0, 2x = 1, x = 1/2

Answer:

Step-by-step explanation:

The average rate of change of a function f between a and b (a< b) is :

R =[f(b)-f(a)] ÷ (a-b)

●●●●●●●●●●●●●●●●●●●●●●●●

Let R be the average rate of change of this function

f(6) = 2×6^2 - 7×6 = 72-42 = 30

f(2) = 2×2^2 - 7×2 = 8-14 = -6

R = [f(6) - f(2)]÷ (6-2)

R = [30-(-6)] ÷ 4

R = -36/4

R = -9

■■■■■■■■■■■■■■■■■■■■■■■■■

The average rate of change of this function is -9

Answer:

[tex]\frac{\Delta y}{\Delta x} =9[/tex]

Step-by-step explanation:

You can find the average rate of change of any function using the following formula:

[tex]Average\hspace{3} rate\hspace{3} of \hspace{3} change=\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Now, let:

[tex]x_1=2\\\\and\\\\x_2=6[/tex]

Let's evaluate the function for [tex]x_1[/tex] and [tex]x_2[/tex] :

[tex]f(x_1)=2(2)^{2} -7(2)=2*4-7*2=8-14=-6\\\\f(x_2)=2(6)^{2} -7(6)=2*36-7*6=72-42=30[/tex]

Therefore, the average rate of change of the function over the interval given is:

[tex]\frac{\Delta y}{\Delta x} =\frac{f(6)-f(2)}{6-2} =\frac{30-(-6)}{6-2} =9[/tex]

Answer:

12

Step-by-step explanation:

Because you would divide the total number of points which is 48 by the number of games he's played which is 4 and you would get 12, since 48 divided by 4 is 12

Answer:12

Step-by-step explanation:hope this help

Answer:

1/10, 3/10, 0.9

Step-by-step explanation:

Convert to decimals.

1/10 = 0.1

0.9

3/10 = 0.3

Arrange from least to greatest.

0.1, 0.3, 0.9

1/10, 3/10, 0.9

Answer:

a^32

Step-by-step explanation:

Apply law of exponents.

(a^b)^c = a^(bc)

(a^8)^4 = a^(8 × 4)

= a^32

Answer:

1/72

Step by step:

The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.

Answer:

  Table 3

Step-by-step explanation:

Data shows no correlation when it has no trend in relation to the x-values. The data of table 3 both increases and decreases as x gets larger, so shows less correlation than the other tables.

This is verified by the computation done using a spreadsheet.

  Table 3 shows no correlation

Answer:

c on edge 2021

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

5.1y = –0.3y – 21.6

5.1y + 0.3y = -21.6

5.4y = -21.6

y = -4

Answer:

y=  -4

Step-by-step explanation:

Solve this equation with a variable term on both sides.

5.1y = –0.3y – 21.6

What is the solution?

y =  -4

Answer:

y=-4x+9

Step-by-step explanation:

Try to convert the equation into y=mx+b form (slope intercept form) by doing the following

4x+y=9                  Original equation

4x-4x+y=-4x+9      Subtract 4x from both sides to isolate y variable

y=-4x+9                 Simplify

Answer:

Check it below

Step-by-step explanation:

According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.

The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.

let given points be

(x1,y1)=(-3,-3)

and(x2,y2)=(3,1)

equation of given line ,

(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)

therefore, 2x-3y+3=0.........(i)

comparing (i ) with ax+by+c=0 we get

a=2

b= -3

c=3

then the line parallel to (i) is

ax+by+k=0 where k = -bc

that is, 2x-3y+9=0 is the required equation

Answer:

19. y = 2/3x - 10/3

20. y = -3/2x - 4

Step-by-step explanation:

First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.

19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.

To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.

-2 = (2/3) * 2 + b

b + 4/3 = -2

b = -6/3 - 4/3

b = -10/3.

So, the equation of the line is y = 2/3x - 10/3.

20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.

To solve for b, once again, put in the given coordinates, (-4, 2), and solve.

2 = (-3/2) * (-4) + b

b + 6 = 2

b = -4

So, the equation of the line is y = -3/2x - 4.

Hope this helps!

Answer:

I tbink that it the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x.  Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Step-by-step explanation:

Answer:

y=x-2

Step-by-step explanation:

If you have drawn the graph of [tex]y = x^2 - 3x + 1[/tex].

To determine the equation of the line which  should be drawn to solve the equation:  x² - 4x +3=0

Simply carry out the subtraction: [tex]x^2 - 3x + 1 -(x^2 - 4x +3)[/tex]

[tex]\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3 + 1\\=x-2[/tex]

The equation of the line which should be drawn is: y=x-2

What this means is simply:

If

[tex]y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0[/tex]

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]

Answer: 16

Step-by-step explanation:

The important thing to remember here is the Order of Operations

The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.

There are no parentheses.

Exponents: 3 - 4+4*3+5

Multiplication and Division: 3 - 4 + 12 + 5

Addition and Subtraction:

-1+12+5

11+5

16

Hope it helps <3

Answer:

Your answer is wrong because you reflected it over the y-axis, not the x-axis. To find the correct answer, plot a triangle with vertices at (1, -1), (4, -1) and (4, -3). Note that we switch the sign of the y-coordinate when reflecting over the x-axis.

Answer:

Step-by-step explanation:

1000*PI*4/3

4000/3*PI

1333.3 (3 REPEATING)*PI

4186.6 (6 REPEATING)

BRAINLIEST PLSSSSSSSSSSSSS

Answer:

4186.67

Step-by-step explanation:

volume of sphere = 4πr³/3

4 × 3.14 × 10 × 10 × 10 ÷ 3 = 4186.67cm³

Answer:

2. tangent

Step-by-step explanation:

It can't be concentric because circle A is not inside of circle B.

It can't be congruent because circle B is smaller than circle A.

It can't be coplanar because the two circles do not intersect at one point.

Circle A is tangent to circle B because line CD intersects both circles at the outer side.

Answer:

The answer would be tangent

Step-by-step explanation: