Find the center and the radius
1 answer:
Answer:
Center:
Radius:
Step-by-step explanation:
-According to the following equation, the center would be , because the center is known as
from the equation of a circle. To find the radius, you would only need to square root the simplified radius from the following the equation and you would get the radius 15:
The equation of a circle:
The following equation:
Center: Radius:
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By looking at the graphs we can infer the equation that represents both functions. If we plot the equations in a graphing tool, we can easily find your points.
Please, see the attached image
Linear
f(x) = (-3/2)*x + 3
x = -3 ---------> y = 15/2 = 7.5
x = -2 ---------> y = 6
x = -1 ---------> y = 4.5
x = 0 ---------> y = 3
x = 1 ---------> y = 1.5
x = 2 ---------> y = 0
x = 3 ---------> y = -1.5
Exponential
g(x) = (1/2)^x
x = -3 ---------> y = 8
x = -2 ---------> y = 4
x = -1 ---------> y = 2
x = 0 ---------> y = 1
x = 1 ---------> y = 0.5
x = 2 ---------> y = 0.25
x = 3 ---------> y = 0.125
(1/2)^x = (-3/2)*x + 3
If we solve this equation, we get two values
x = -2.868 and
x = 1.81
