Answer:
(9g - 6f)(9g + 6f)
Step-by-step explanation:
81g^2 - 36f^2 =
(9g)² - (6f)² =
(9g - 6f)(9g + 6f)
Answer:
The shaded region is
.
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply
.
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:

To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
Answer:
8
Step-by-step explanation:
1/4πr² + (2x4) - 1/4πr²
r = 4
8
Answer:
C
Step-by-step explanation: