Answer:
The answer is (C)
The equation of the circle is (x + 4)² + (y - 6)² = 81
Step-by-step explanation:
* To find the equation of the circle you need to know
the center of the circle and the length of its radius
* The rule of the equation of the circle is:
(x - h)² + (y - k)² = r²
Where x and y is a general point on the circle,
h and k are the coordinates of the center of the circle
and r is the radius of the circle
∵ The center of the circle is (-4 , 6)
∵ The radius of the circle is 9
∴ (x - -4)² + (y - 6)² = 9²
∴ ( x + 4)² + (y - 6)² = 81
∴ The answer is (C)
7,200 = (24)(20)h
15=h (just divide)
To check, 20*24*15 = 7,200 cubic centimeters so 15 cm is right
The answer is 21
By comparing the 4 vertices you can determine the rectangle x-length and y-length. The coordinate for the vertice is:
1,+4i
-2, +4i
-2, -3i
1, -3i
From the coordinate, you can see there are 2 x coordinate(1 and -2) and 2 y coordinate(4i and -3i) that used.
The x-length would be: 1 - (-2)= 3
The y-length would be: 4i- (-3i)= 7i
Then the area of the rectangle would be:
area= x-length * y-length= 3*7=21
Answer:
I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Step-by-step explanation:
10