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Bad White [126]
3 years ago
13

15 points! What is the scale factor of the dilation?

Mathematics
1 answer:
maw [93]3 years ago
5 0

Answer: \frac{1}{2}

Step-by-step explanation:

Use the formula for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Calculate the distance AB. Substitute the coordinates into the formula. Then:

d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}

d_{AB}=17

Calculate the distance A'B'. Substitute the coordinates into the formula. Then:

d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}

d_{A'B'}=\frac{17}{2}

As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.

You might be interested in
The length of a rectangle is 4 less than 3 time the width. What is the area of the rectangle?
Talja [164]

Use the quations 2L + 2W = Area

and L = 3W -4

Plug the second equation into the first and solve for W

2(3W-4) + 2W = A

6W - 8 + 2W= A

8W - 8 = A

8W = 8

W = 1

Then plug that into the second equation

L = 3(1) -4

L = 3 -4

L = -1

Then plug both of the answers into the first equation

2(-1) + 2(1) = A

-2 + 2 = A

0 = A

That should be the answer, but since there was no given Area, i'm not sure.

I hope this helped though!

6 0
3 years ago
They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the lengt
AnnyKZ [126]

Answer:

Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.

If original dimensions are l,w and h then volume = lwh

Volume of new box is= 3lwh

But here w becomes 2w and l remains the same.  Let h' be the new height

Then we have

So by 1.5 factor height should be dilated.

Step-by-step explanation:

7 0
1 year ago
2x - 3y = 12<br> x = 4y + 1
aliya0001 [1]

Answer:

x = 9, y = 2 is the solution of the given system.

Step-by-step explanation:

Here, the given set of equation is :

2 x - 3 y = 12

x = 4 y + 1

Now, from equation (2) we see that x = 4 y + 1.

Substitute the value of y from (2) in the first equation. we get:

2 x - 3 y = 12  ⇒ 2 (4 y + 1) - 3 y = 12

or, 8 y + 2 - 3 y = 12

or, 5 y = 12- 2  = 10

or, y = 10/ 5 = 2

or, y = 2

Now, x = 4 y + 1   ⇒ x  =  4(2)  + 1 = 8 + 1 = 9, or x = 9

Hence, x = 9, y = 2 is the solution of the given system.

5 0
3 years ago
there are 7 boys in a class of 13 students (A) what is the ratio of boys to girls. (B) what is the ratio of girls to all student
Leya [2.2K]

Answer:

7:6 boys to girls      6:13 girls to all

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(solve the following problem using integers. show ALL your work.)
yulyashka [42]

Answer:

$4

Step-by-step explanation:

30+20=50

50-48=2

2+20+=22

22-18=4

if she has 30 then gets 20 she has 50. Then she spends 48 dollars leaving her with only 2 dollars. She then makes another 20 dollars so she now has 22 dollars. She spends 18 dollars leaving her with 4 dollars.

8 0
3 years ago
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