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.
9514 1404 393
Answer:
58
Step-by-step explanation:
The marked points on the graph show that the number of hot cocoas sold decreases by 6 when the temperature goes up by 6 degrees. That is, the line has a slope of -1. The y-intercept is 100, so the equation of the line can be written as ...
y = mx +b . . . . . line with slope m and y-intercept b
y = -x +100
Then for x = 42, the expected value of y is ...
y = -42 +100 = 58
Mei Mei can expect to sell 58 hot cocoas on a day when the high is 42°F.
Answer:
8n - 3.9
Step-by-step explanation:
Given
- (- 8n + 3.9 ) ← multiply each term in the parenthesis by - 1
= 8n - 3.9
Answer:
Step-by-step explanation:
First, begin by multiplying 
by its reciprocal.
To do this, flip the fraction upside-down.
The resulting equation looks like this: 
Cancel out the two 27's and you are left with 
, which you can simplify to q.
Next, multiply -3 by 
. Remember, what you do on one side, you must do on the other.
Your equation should look like this:
The final answer is .
Have a nice day!
A^2 + b^2 = c^2 fill in the know numbers a=4 b=10
$^2 +10^2 = 116
now find the square root of that its
c is approx 10.8
