Answer:
Center ( 4 , -2) and r = 6
Step-by-step explanation:
x² - 8x + y² + 4y - 16 = 0
x² - 8x + y² + 4 y = 16
x²- 2*4x + y² + 2 *2y = 16
(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16
(x - 4)² + (y + 2)² = 16 + 16 + 4
(x - 4)² + (y -[-2])² = 36
(x- 4)² + ( y - [-2] )² = 6²
Compare with (x - h)²+ (y - k)² = r²
Center ( 4 , -2) and r = 6
If you are solving for a value, you can divide by -1
For example:
-x=5 (divide by -1)
x=-5
If you have an equation, you can negate every part
For example:
-x^2-2x+7=0 (negate)
x^2+2x-7=0
The equation for the volume of a pyramid is (l*w*h)/3
since the problem gave you the base area, that would be the l *w
so now you would need to multiply the base area by the height, then divide by 3
16 * 15 = 240
240/ = 80 cubic centimeters
Answer: 6 m
Step-by-step explanation:
The area of a rectangle is the length times the width.
We can set up an equation.
108 m^2 = 18 m * width
Width = 6 m
Answer:
![28 cm^2](https://tex.z-dn.net/?f=28%20cm%5E2)
Step-by-step explanation:
<em><u>The formula for finding the area of a triangle is:</u></em>
<em><u /></em>![\frac{1}{2} bh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20bh)
<em><u>The "b," is the base (7), and the "h," is the height (8):</u></em>
![\frac{1}{2} (7)(8)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%287%29%288%29)
![\frac{1}{2} (56)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2856%29)
28