What is the distance between the points (7 , 35) and (7 , 21) in the coordinate plane? A. 7 units B. 56 units C. 28 units D. 14 units

Answers

Answer 1

Answer:

14 units

Option D is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( 7 , 35 ) -----> ( x1 , y1 )

B ( 7 , 21 ) -------> ( x2 , y2 )

Now, finding the distance between these two points:

[tex] \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } [/tex]

Plug the values

[tex] = \sqrt{(7 - 7) ^{2} + {(21 - 35)}^{2} } [/tex]

[tex] = \sqrt{ {0}^{2} + {( - 14)}^{2} } [/tex]

0 raised to any positive power equals 0

[tex] = \sqrt{0 + {( - 14)}^{2} } [/tex]

When adding or subtracting 0, the quantity doesn't change

[tex] = \sqrt{ {( - 14)}^{2} } [/tex]

Reduce the index of the radical and exponent with 2

[tex] = 14 \: units[/tex]

Hope this helps...

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Related Questions

Suppose you roll a number cube. What is the theoretical probability of rolling a 5?

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 possible outcomes when you roll a die

1,2,3,4,5,6

P(5) = number of outcomes with a 5/ total outcomes

        =1/6

< B is opposite

А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA

Answers

A. AC because of how it is directly across from the Angle

The angle ∠B is opposite AC in the triangle.

Option A is the correct answer.

We have,

From the triangle,

There are three angles:

∠A, ∠B, and ∠C.

And,

The sides opposite to each angle are:

AC is opposite ∠B

AB is opposite ∠C

BC is opposite ∠A

Thus,

The angle ∠B is opposite AC in the triangle.

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Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT

Answers

Answer:

Correct Answers: D,C,B

Step-by-step explanation:

I took the test and got these as the right answers Hope this helped if not I tried

Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?

Answers

Answer:

  infinitely fast

Step-by-step explanation:

To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.

Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)

_____

  speed = distance/time

Multiplying by 2, we get ...

  2×speed = 2×distance/time . . . . . the time hasn't changed

expression
equation
formula
identity
inequality
term
factor
multiple

Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y​

Answers

Answer:

Term

Expression

Step-by-step explanation:

8y is a term in the expression

7x + 8y

There are two terms in the expression 7x + 8y

First is 7x

Second is 8y

7 and 8 are coefficient of x and y respectively

7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.

Unlike an equation that has the Equal to sign(=)

There are three basic types of expression:

1. Arithmetic expression

2. Character expression

3. Logical or relational expression

How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?

Answers

Answer:

We decreased by 37%

Step-by-step explanation:

Let x be the starting temperature

We decrease by 10 percent which means we are left with 100-10 =90 percent

.90 x

Then we decrease by 30 percent, 100 - 30 = 70

( .90x) * .70

.63x

We  have .63 of the original left or 63%

100 -63 = 37

We decreased by 37%

Answer:

37% and it decreased

Step-by-step explanation:

The sum of all the interior angles in a triangle is blank degrees.

Answers

Answer:

180 degress

Step-by-step explanation:

triangles always add up to 180

the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3​

Answers

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar

Answers

Answer:

A. Interquartile

Step-by-step explanation:

Answer:

A: interquartile range

Step-by-step explanation:

edg2020

Determine the slope of the lines parallel and perpendicular to -4x+3y=11

Answers

Answer:

parallel = 4/3

perpendicular =-3/4

Step-by-step explanation:

Solve for y

-4x+3y=11

Add 4x to each side

3y = 4x+11

Divide by 3

y = 4/3 x +11/3

This is in the form y = mx+b where m is the slope

m =4/3

The parallel line has the same slope

parallel slope is 4/3

The perpendicular line has a negative reciprocal slope

m = -(1 /4/3) = - 3/4

Answer:

[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]

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 )

Given

- 4x + 3y = 11 ( add 4x to both sides )

3y = 4x + 11 ( divide all terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

slope of parallel line = [tex]\frac{4}{3}[/tex]

Give 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{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]

Mathematics, Help, not sure about my answer on this one

Answers

Answer:

F. 2 1/9

Step-by-step explanation:

Step 1: Substitute q

[tex]r = 3(\frac{1}{3^n} )+2[/tex]

When you plug in n = 1, 2, 3:

n(1) = 3

n(2) = 2.11111

n(3) = 2.3333

So our answer is F.

The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.

Answers

Answer:

B. The variable s represents the number of students in each class.

C. The coefficient 14 represents the number of classes in the 9th grade.

Step-by-step explanation:

The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5  colored ropes the total number of ropes will be 5*5= 25.

In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30

We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.

A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test

Answers

Answer:

The correct option is;

Two-tailed test

Step-by-step explanation:

From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14

Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;

H₀: Null hypothesis (no difference, or no change)

H₁: μ ≠ μ₀ which is hypothesizing  difference which is known as a two-tailed test

The confidence level is then selected and the test statistic is calculated

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Answers

Answer:

Step-by-step explanation:

R is between (-3) & (-4)

So, R = - 3.5

Answer:

Step-by-step explanation:

R= -3.5

*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.

Answers

Answer: b) 384 sq. in.

Step-by-step explanation:

Surface area of cube = 6a^2

= 6 (8)^2

= 6 x 64

= 384 sq. in.

b. 384

The area of one square on the cube is 8*8=64
There are 6 faces, so 6*64=384

Question 3(Multiple Choice Worth 1 points)

(06.02 LC)


A scatter plot is shown below:


Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.


Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot?


(4.5, 10) and (10, 6.5)

(0, 9.8) and (10, 1.2)

(0, 4) and (5, 0)

(0, 6) and (7, 0)

Answers

Answer:

(0,9.8) and (10,1.2)

Step-by-step explanation:

it makes the best line

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Option B is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.

We can plot the given points and visually inspect the scatter plot to find the line of best fit.

 10|         o

   |             o

 9 |          o

   |          o

 8 |       o

   |       o

 7 |     o

   |    o

 6 |  o

   |o

 5 |o

   |            o

 4 |       o        o

   |                o

 3 |         o

   |             o

 2 |           o

   |                o

 1 |                o

   |____________________________

     0  1  2  3  4  5  6  7  8  9 10

From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.

One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).

This line represents the overall trend in the data and passes close to many of the given points.

Therefore,

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

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Which points lie on more than one plane?
O A ands
X and Y
O Mands
M and R

Answers

Answer:

x and y

Step-by-step explanation:

x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.

If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.

What is a number of subsets for the set which contains the 10 elements.

Answers

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
0 4x - y = -6
O x + 4y = 7
Ox - 4y = -9
O 4x + y = 2

Answers

Answer:

The answer is x + 4y = 7

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Slope of the line between the points

(-1, 2) and (3, 1) is

Slope = 1-2/ 3+1 = - 1/4

Equation of the line using point

(-1, 2) is

y - 2 = -1/4(x + 1)

4y - 8 = - x - 1

x + 4y = 7

Hope this helps you

please help for math​

Answers

Answer:

2.35 m²

Step-by-step explanation:

Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.

1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width

1 m · 2 m = 2 m²

2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)

3.14(0.5)² = 0.785

0.785 ÷ 2 = 0.3925 m²

3. Combine the total area

2 + 0.3925 = 2.3925

4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)

0.2² = 0.04 m²

5. Subtract the area of the square from the total area

2.3925 - 0.04 = 2.3525

2.3525 rounds to 2.35 m²

The answer is 2.35m2

Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°

Answers

Answer:

B) 122 degrees.

Step-by-step explanation:

Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:

9x - 5 + 14x + 24 + 90 + 90 = 360

9x - 5 + 14x + 24  = 180

23x + 19 = 180

23x = 161

x = 7

So the obtuse angle = 14(7) + 24

= 98 + 24

= 122 degrees.

P(A) = .20 P(B) = .25 P(A and B) = .10 What is P(B given A)

Answers

P(B given A) = P(A and B) / P(A)

P(B given A) = 0.10 / 0.20

P(B given A) = 0.50

I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!

Answers

Answer: 16

Step-by-step explanation:

The 7 and the 9.

Look closely

50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.

Answers

Answer:

1st Graph

Step-by-step explanation:

Parent Graph of Exponentials: f(x) = a(b)^x + d

Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.

Alternatively, we could graph the equation and choose the best fit:

Answer:

Step-by-step explanation:

 f(x) = a(b)^x + d

(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

Answers

Answer:

X = 1, 2.

Step-by-step explanation:

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.

Hope this helps!

Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.


Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$.

Answers

Answer:

p+q = 12

Step-by-step explanation:

Let's draw the diagram obtained from the given information. Find attached the diagram.

When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.

See attachment for diagram.

Ratio of area ABYX to XYCD = p:q

p+q = ?

Area of trapezoid = ½(base 1 + base 2)height

For trapezoid ABYX:

Base 1 = AB = 12, Base 2 = XY

Using Pythagoras theorem to find height of ∆AOB

AO² = AP² + PO²

PO² = (10²-6²) = (100-36)

PO = √64 = 8

height of trapezoid ABYX =h = ½ PO

= 8÷2 = 4

base of triangles in trapezoid ABYX:

base² =  5² -4² = (25-16)

base = √9 = 3

XY = 12+3+3 = 18

Area of trapezoid ABYX = ½(AB + XY)height

= ½(12+18)×4

= ½(120) = 60

Area of trapezoid XYDC = ½(XY + DC)height

Height of both trapezoid = ½ PO = 4

base of triangles in trapezoid XYCD = 3

DC = 3+18+3 = 24

= ½(18+24)×4

= ½(168) = 84

Ratio of both areas

p:q = 60: 84

p:q = 5:7

p+q = 5+7

p+q = 12

Which distribution is positively skewed?​

Answers

Answer:

D

Step-by-step explanation:

not positive but i think it would be D

Option C is the distributions are positively skewed.

Since, A distribution that is positively skewed would have the following highlights:

More points on the left, if represented on a dot plot

Tall bars on the left, if represented on a histogram

Whisker on the left, if represented on a box plot

The above means that none of the distributions are positively skewed.

This is so because:

A is negatively skewed because the whisker is at the right

B and C are symmetrical because there are tall bars at the middle

D is positively skewed because the whisker is at the left.

Hence, Option D is the distributions are positively skewed.

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Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?

Answers

Answer:

6:3

Step-by-step explanation:

the ratio of Quinn's throws to Sam's throws would be 6:3

Answer:

2:1

Ratio of Quinn's free throws to Sam's free throws

how would i do number 2?

Answers

Answer:

m=2

Step-by-step explanation:

When you put a number into the inverse of a function (f^-1) you get the original number back.

Ex: f^-1(11) = (11-3)/2 = 4

f(4) = 2×4+3 = 11

So, f(-5)=-2

So, when x is -5,

f(x) = -2

f(x)=m(-5)+8

-2=m(-5) + 8

m=2

i need help i cant do this somebody plz A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?

Answers

All you have to do is divide by 18 to find the speed at which they work per hour since they worked 18 hours. Your answer would be 15miles/18hours= 0.83miles per hour
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