Mathematics College

. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.​

. Part A: Under A Dilation Of Scale Factor 3 Centered At The Origin, AB Becomes A'B'. Determine The Coordinates

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A.

Coordinates of A and B are,

A(-2, 2) and B(3, 2)

Rule for dilation of a point (x, y) by a scale factor k about the origin,

(x, y) → (kx, ky)

If the points A and B are dilated by a scale factor 3, image points will be,

A(-2, 2) → A'(-6, 6)

B(3, 2) → B'(9, 6)

Part B.

Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,

A(-2, 2) → D(-1, 1)

B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]

. Part A: Under A Dilation Of Scale Factor 3 Centered At The Origin, AB Becomes A'B'. Determine The Coordinates

Related Questions

In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.

Answers

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD=  CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.=

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)

Answers

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

Anybody know the answer to this ?

Answers

it’s 5.8 hope this helps

Answer:

13.08 United States Dollars

Miranda found 4 pieces of an ancient ceramic bowl. What fraction of the bowl is missing

Answers

how I'm supposed to answer this

Answer:

we need the total pieces

Step-by-step explanation:

how many pieces of the ancient ceramic bowl are there

4 pieces out of what?

we need the total pieces

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

Answers

Answer:

See below

Step-by-step explanation:

[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]

Thus proved

Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (-4, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract:               [tex]m=\frac{-4}{-5}[/tex]Simplify:                        [tex]m=\frac{4}{5}[/tex]

A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.

Is this a valid conclusion?

Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.

Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.

No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.

Answers

Answer:

C

Step-by-step explanation:

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.

Given that,
A statement is given we have to justify which among the option is the correct reason.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.

Thus, Option C is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2

find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1

Answers

Answer:

B) 38.7

Step-by-step explanation:

Answer:

A) 36.9

Step-by-step explanation:

took the test :)

8x-2 (6x + 4) simplify by using the distributive property

Answers

Answer:

48x^2+ 20x-8

Step-by-step explanation:

The answer is -4x -8.

Which linear regression equation best fits the given points?

(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)

yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9

Answers

Answer:

Here you go! Hope I am not to late..

Step-by-step explanation:

I took the test.

Find the equation of the line. Use exact numbers.​

Answers

y = -2x + 5
hope this helps!
-2 + 5 i think so...

answer 6, as quick as you can please​

Answers

9514 1404 393

Answer:

  0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

need help somebody pleaseee

Answers

Answer:

The second one I believe

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.

Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?

Answers

I’m guessing 3 miles. You would have to cross multiply and solve for x, miles. I hope this is right.

plzzzzzzzz hurry thnx

Answers

Answer:

0.5, 50%

Step-by-step explanation:

Answer:

1/2 a pound = 0.5 of a pound1/2 a pound = 50% of a pound

I hope this helps!

What is the slope of the line?

Answers

The slope would be 1.75 I used desmos to get this answer but you can also use the formula. The y intercept is -1.25 if you need that later on.

Answer:

slope = 7/4

Step-by-step explanation:

slope is found by figuring the change in y-values over the change in x-values.  Look for points on the line that go through an intersection of the graph lines exactly.  I found the points (3, 4) and (-1, -3)

difference of y/difference of x = 4-(-3) / 3-(-1)   =  7/4

help me please......... ​

Answers

Answer:

1. true 2. true 3.true 4. false 5. false

Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4

someone helppp please!!

Answers

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Match each equation with its graph

Answers

Answer:

The first graph would be y=5x+2

The second graph would be y=3x+3

The third graph would be y=2x+3

Step-by-step explanation:

First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.

Second Graph: x = -1.

y=3

The line in the graph goes through both.

Third Graph:  x = -1.5

y = 3

The line also goes through both.

Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
(blank) feet.

Answers

Answer:

There is descending of 8260 feet in altitude for all 4 balloons.

Solve this 2 step equation 3x-7=20

Answers

Answer:

x=9 if thats what your asking

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3x-7=20

3x=20+7

3x=27

X=27/3

X=9

So the value of X is 9

If {x) = 3x + 2, what is (5)?​

Answers

You mean f(x) = 3x+2 and what is f(5)?

f(5) = 3(5)+2

f(5) = 15+2

f(5) = 17

So f(5) = 17

Please Help me. And show your work

Answers

Answer:

30 girls, 20 boys

Step-by-step explanation:

in the tape diagram, we see a ration of 3:2 girls:boys

To solve, make it an equation`

3x+2x=50

5x=50

x=10

Then you multiply by 3 and 2 to get 30 and 20

Answer:

20:30

Step-by-step explanation:

50 divided into five is ten. There are exactly five boxes that make up ten kids for each box. There boxes are 30 kids in three boxes while two boxes are 20 kids and if you put all of that together it makes a total of 50 kids.

What is 1/3 of 4/5?

Answers

Answer:

0.26

is the answer

17.9%of what number is 14.857

Answers

Answer:

83.100559

Step-by-step explanation:

0.179x=14.857

x=14.857/0.179

x=83.100559

The answer will be 2.6594


What is the value of 3-(-2)?

Answers

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-(-2) is equal to +2, so the equation is 3+2 which is 5

Which angles are alternate interior angles explain

Answers

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23

Solve for www. -4(w+1) = -24

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-4w-4=-24

-4w=-24+4

-4w=-20 to find w divide both side by -4

-4w/-4 =-20/-4

w=5

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