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.
Answer:
84
Step-by-step explanation:
Let x = the test
(x + x + ( x - 6))/3=82
((3x - 6)/3) • 3= 82 • 3
3x - 6 + 6 = 246 + 6
<u>3x</u> = <u>252</u>
3 3
x = 84
Answer:
-3.875
Step-by-step explanation:
Answer:
<em>Dimensions : 1 by 1 by 2 feet,</em>
<em>Volume ⇒ 2 ft^3</em>
Step-by-step explanation:
Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;
I can tell that these types of boxes have height and width as the same lengths, so given that;
<em>Dimensions : 1 by 1 by 2 feet,</em>
Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3
In other words, <em>Volume ⇒ 2 ft^3</em>
Answer:
B: 4 liters of soda
Step-by-step explanation:
16 / 4 = 4
Therefore,
The snack committee mixed 4 liters of soda per liter of fruit punch.
