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Naddik [55]
3 years ago
13

A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′⎯⎯⎯⎯⎯⎯⎯⎯ , A′B′⎯⎯⎯

⎯⎯⎯⎯ , and M′N′⎯⎯⎯⎯⎯⎯⎯⎯⎯ .
What are the lengths of the images?

Drag the answer into the box to match each segment.

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0

i just took the test the answer is

P'Q'=4 cm

A'B'=3 cm

M'N'=6 cm

juin [17]3 years ago
5 0
Applying a scale factor means by definition to multiply the lengths of the segments by the scale factor. If the scale factor is larger than 1, we call it a dilation.

Now, we get that AB has a length of 1.5 cm; applying the scale factor yields a new segment with 2 new endpoints that has a length of A'B'=3 cm = 1.5cm*2

Similarly, we get that since PQ=2 cm, P'Q'=2cm*2=4cm and finally since MN=3 cm, M'N'=6 cm.
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kari74 [83]

Answer:

<h2>d(P, Q) = 6</h2><h2>d(Q, R) = 5</h2>

Step-by-step explanation:

The formula of a distance between two points A(a) and B(b):

<h3>d = |b - a|</h3>

We have P(x + 3), Q(x- 3), R(x + 2).

Substitute:

d(P, Q) = |(x - 3) - (x + 3)| = |x - 3 - x - 3| = |-6| = 6

d(Q, R) = |(x + 2) - (x - 3)| = |x + 2 - x - (-3)| = |2 + 3| = |5| = 5

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For this problem I would change:

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Then, I would add up both equations by lining them up top of another.

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Now that you have x, solve for y.

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Check to see if the values are correct by plugging them into the other equation.

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Since the values are correct, the solution to this problem is A (2, 7).


7 0
3 years ago
HELP ASAP!!!!! 25 POINTS!!!!!!!! AND WILL GVE BRAINLIEST!!!!!!!!!
Volgvan

• Im sorry but we doesnt know the x number :( but dont worry to plot the diagram:

- substitute the number x (given) into the equation f(x)

- example: f(x) = x + 9 / x - 3

- then x given is 4

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- f(x) = 13 / 1 or 13

- then you plot at 13 on the graph :)

hope this helps ;/

7 0
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