Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
x-17= 23
move -17 to the other side
sign changes from -17 to +17
x-17+17= 23+17
x= 23+17
Answer:
x= 40
Answer:
7/20
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
can also be written as 
. Evaluating this gives 
= 
= 
Answer:
r = h + m
Step-by-step explanation:
h = r - m
Switch sides.
r - m = h
Add m to both sides.
r - m + m = h + m
Simplify the left side. -m + m = 0
r = h + m
