46.19 should be the answer
Answer:
- 2
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [a, b ] is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here [a, b ] = [1, 8 ], thus
f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6
f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20
average rate of change =
=
= - 2
![a^{2}+ b^{2} = c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20%20%20)
that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
![25^{2}+ 60^{2}= x^{2}](https://tex.z-dn.net/?f=%2025%5E%7B2%7D%2B%2060%5E%7B2%7D%3D%20x%5E%7B2%7D%20%20%20)
625+3600=
![x^{2}](https://tex.z-dn.net/?f=%20%20x%5E%7B2%7D%20)
4225=
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
Therefore,
![\sqrt{4225}](https://tex.z-dn.net/?f=%20%5Csqrt%7B4225%7D%20)
=x
65=x
The length of the hypotenuse is B.65 centimetres.
Answer:
1. Vertex (-3,2)
A) (x+3)² + 5
B) (x-3)² + 2
C) (x-1)² -5
I hope these are all correct
Step-by-step explanation: