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Zigmanuir [339]
3 years ago
6

HELP

Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0

Answer:

(x-6)^2=8

Step-by-step explanation:

x^2-12x+32=4

x^2-12x+32+4=4+4

x^2-12x+36=8

(x-6)^2=8

Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.

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Step-by-step explanation:

You can observe  the sides of both triangles to see if this property holds

Lets check the length of AB

A(0,3)   and B(0,-1)

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\\\AB=\sqrt{(0-0)^2+(-1-3)^2} \\\\\\\\AB=\sqrt{0^2+-4^2} \\\\\\AB=\sqrt{16} =4units

Now check the length of the corresponding side DE

D(1,2)  and E(1,-2)

DE=\sqrt{(1-1)^2+(-2-2)^2} \\\\\\DE=\sqrt{0^2+-4^2} \\\\\\DE=\sqrt{16} =4units

The side AB has the same length as side DE.This is also true for the remaining corresponding sides.

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