Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?

Answer:

​x-y=-1

3x+y=9

Step-by-step explanation:

The shape of the image of ΔABC following a dilation by a scale factor of [tex]\dfrac{2}{3}[/tex] is the same as the shape of ΔABC but the sizes of the sides of ΔA'B'C' are [tex]\dfrac{2}{3}[/tex] smaller

The correct options with regards the given statements are;

Reasons:

The dilation lengths of the sides of ΔABC are AB, AC, BC

The given scale factor of dilation = [tex]\dfrac{2}{3}[/tex]

Therefore;

The lengths of the sides of ΔA'B'C' are [tex]\dfrac{2}{3} \cdot \overline {A'B'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {A'C'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {B'C'}[/tex]

Which gives;

[tex]\dfrac{\overline{A'B'}}{\overline{AB}}} = \dfrac{\overline{A'C'}}{\overline{AC}}} = \dfrac{\overline{B'C'}}{\overline{BC}}} = \dfrac{2}{3}[/tex]

Given that the ratio of the corresponding sides of ΔABC and ΔA'B'C' are equal, ΔABC is similar to ΔA'B'C' by triangle similarity theorem

Therefore;

∠A = ∠A', ∠B = ∠B', and ∠C = ∠C' by definition of triangle similarity

Which gives;

The statement; The measure of ∠B and ∠B' are equal is True

Second part;

The center of dilation of ΔABC is point A, therefore, the distance between point A and point A' following a dilation is zero

Therefore, given that there is no difference, we have;

The coordinates of point A = The coordinates of point A'

Therefore;

The statement, the coordinates of A and A' are the same is True

Learn more here:

https://brainly.com/question/2584916

Answer:

False

True

Step-by-step explanation:

A dilation multiplies the distance of every point from the center of dilation by the scale factor. So a dilation moves every point except the center of dilation.

Point A is the center of dilation, so the coordinates of A and A′, are the same.

Dilations multiply every length in the figure by the scale factor, so AB and A'B' do not have the same length.

Answer:

3/4 = 9/12

- 7/12 = 7/12

-----------------------

             2/12

Step-by-step explanation:

first box = 9

second box = 7

last box = 2/12

Answer:

this can be solved by adding 1/4+1/5

Step-by-step explanation

Answer:

yes its right

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the line plot has an X to represent the amount of times the piece of data occurred I counted 2 x's

Answer:

It wont load sorry maeby try putting the question again maeby it will work or is it my end.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=dv/dt

A=15/1=15

B=5/1=5

C=0/2=0

D=-20/1=-20

So from least to greatest

-20, 0, 5, 15

D, C, B, A

Answer:

3.5 feet.

Step-by-step explanation:

r=C/2π

r=22/2π

r=22/6.28

r≈3.5

Answer:

b

Step-by-step explanation:

When finding the constant of proportionality, divide the +/- from "y", divided by the +/- from x.

Answer:

n ≥ 1/4

Step-by-step explanation:

I wish I could add a picture, but I can't, so you'll have to graph it by yourself.

Answer:

Sorry I would love to zoom with you but I cant

Step-by-step explanation:

But I do REALLY hope you have a good day or night where ever you are in this wonderful world! <3

I would love to, but I have to sleep for school tmrw! Have a great day/night:)

Answer1.19 pounds per Dollar

Step-by-step explanation:

its just 25/21

Answer:

third choice, 5(x+2y-3)

Step-by-step explanation:

multiply every item in the parentheses by 5.

5x+10y-15= 5(x+2y-3)

Need 20 characters at least, lol

Answer:

y=1 and x=1

Step-by-step explanation:

they are just variables they don't mean anything because any number multiplied by 1 is that same number

EX: 57 x 1 = 57

21 x 1 = 21

hope that helped you!

Answer:

5.7 cm

Step-by-step explanation:

Triangle

Measurements: 9 cm, 14 cm, y cm

14 cm/2= 7 cm

a²+b²=c²

7²+b²=9²

49+b²=81

-49     -49

b²= 32

b= 5.656854249

y= 5.7

Answer:

Your answer is 11.4

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Answer:

x=4/7

I hope this helped :)

Answer:

2 or 6/3

Step-by-step explanation:

If he runs 2/3 of a mile in 10 minutes all you have to do is multiply it by 3 and you get 6/3 and then you simplify it and end up with 2

Answer:

the answer is 10

Step-by-step explanation:

Have no explanation

Answer:

B. 10

Step-by-step explanation:

B. 10 Hope this helps

Answer:

4 hours, for $60

Step-by-step explanation:

10 x 4 = 40 + 20 = 60

15 x 4 = 60

Answer:

8 mph

Step-by-step explanation:

Answer:

I think that the answer is B.

Step-by-step explanation:

Hope this helps

Answer:

it b

Step-by-step explanation:

Answer:Yes,No,No,Yes

Step-by-step explanation:

Answer:

A student who has many absences has a decrease in grades. As weather gets colder, air conditioning costs decrease. If a train increases speed, the length of time to get to the final point decreases. If a chicken increases in age, the amount of eggs it produces decreases.

Answer:

4 is the answer. My previous answer got deleted.

2 x 4 divided by 2 = 4

Step-by-step explanation:

Answer:

The rectangle is the only one.

Step-by-step explanation:

Answer:

Yes, it is a solution.

Step-by-step explanation:

Since t ≥ 12 means that t needs to be equal to or greater than 12, t = 12 works as a solution because it is equal to 12.