Answer:
<h2>a) (5, 11)</h2><h2>b) r = 9</h2><h2>c) (-4, 11)</h2>
Step-by-step explanation:
The equation of a circle in standard form:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
(h, k) - center
r - radius
We have the equation:
![(x-5)^2+(y-11)^2=81](https://tex.z-dn.net/?f=%28x-5%29%5E2%2B%28y-11%29%5E2%3D81)
Therefore
a) h = 5, k = 11 → the center (5, 11)
b) r² = 81 → r = √81 = 9 - radius
c) We choose any value of x, but one which h - r ≤ x ≤ h + r
5 - 9 = -4
5 + 9 = 14
-4 ≤ x ≤ 14
Let x = -4. Put to the equation and solve for y:
![(-4-5)^2+(y-11)^2=81](https://tex.z-dn.net/?f=%28-4-5%29%5E2%2B%28y-11%29%5E2%3D81)
![(-9)^2+(y-11)^2=81](https://tex.z-dn.net/?f=%28-9%29%5E2%2B%28y-11%29%5E2%3D81)
<em>subtract 81 from both sides</em>
<em>add 11 to both sides</em>
![y=11](https://tex.z-dn.net/?f=y%3D11)
(-4, 11)
Answer:
two is the number
Step-by-step explanation:
i think that
Answwith whater:
Step-by-step explanation:
You need to have a little more detail in your answer, sir or madam.
Number: 94) f(x) = (2x+2) and g(x) =(x²-1)
f(x)/g(x) = (2x+2)/(x²-1) = 2(x+1) / (x+1)(x-1) = 2/(x-1)
Number 96): h(t) = 2t + 5 and g(t) = - 3t
h(t) - g(t) = 2t + 5 - (- 3t) = 2t + 5 + 3t = 5t + 5 or 5(t+1)