4c55ca90/assignments/8acra 21b3b634fbaadad05398eb68f6f/content /b8b50f6f-6b73-4eb8-a616. Problem Solving
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7.1.PS-9
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What is the length of the hypotenuse of the triangle when x = 7?
a
sx-5
5x
The length of the hypotenuse is about 1
(FUMIG we nearest tenth as needed

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct