Rectangle QUAD has coordinates Q(4,5), U(4,10), A(11,10), and D(11,5). Upper Q prime Upper U prime Upper A prime Upper D primeQ′U′A′D′ is the image of QUAD after a dilation with center (0,0) and scale factor 5. What is the length of segment Upper Q prime Upper U primeQ′U′?

25

Step-by-step explanation:

25

find the length of segment QU.  

First, we must find out what the coordinates are.

Q=(4,5) U=(4,10)

Then, Setup your equation by making the first coordinate pair equal. So,

Q= (4,5) would now equal Q=(5,5). That means we added 1. (when you add x ((x=the number you add to make equal)) you add x to the other side as well)

So, now we would add 1 (or how many you got) to U. Thus,

U=(4,10) would now equal Q=(5,10).

Next, set up the equation.

(Q=(5,5) and U=(5,10).)

* You will now be subtracting the coordinates so, Q=(5-5) and U=(5-10)*

Next, Substitute the equation.

After, we solve.

*the sum of two opposites equals 0. 5-5=0*

Next, Subtract (5-10).

Next, 0 raised to any positive power equals 0

Next, When adding or subtracting 0, the quantity does not change.

Next, Reduce the index of the radical and exponent 2.

So, The length of segment is 5.

Now, find the length of segment Upper Q'U'​, multiply the length of segment QU by the scale factor.

scale factor in this equation is 5.

Now, multiply.

5·5 = 25

So, the length of segment Q'U' is 25.

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step-by-step explanation: