Consider the right triangle HBF. The Pythagorean theorem tells you ...
HF² = HB² + BF²
The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
HB = 2
BF = 5
Using these values in the equation above, we get
HF² = 2² + 5²
HF² = 4 + 25 = 29
Taking the square root gives the length HF.
HF = √29
For h(x) = -7x + 10, x =1
For r(x) = 4/5x+ 7 , x = -15
Step-by-step explanation:
in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values
So,
<u>h(x) = -7x + 10; h(x) = 3</u>

Dividing both sides by -7

<u>r(x) = 4/5x+7; r(x) = -5</u>

<u></u>
Keywords: Functions
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Indirect proof or contradiction
Are there choices to pick from?