We can use the distributive property for this:
4 (p+2) = 28
4p + 8 = 28.
4p = 28 - 8.
4p = 24.
Divide by 4 on both sides:
p = 6
V=πr²h
V=(3)(2²)(8)
V=96
V=(πr²h)/3
V=(3)(2²)(3)/3
V=12
V=96+12
V=108
The answer for the first blank is 36 and the answer for the second blank is 97.
To complete the square, we first take half of the value of b. The value of b in this equation is -12; -12/2 = -6.
Next we square the value we just got: (-6)² = 36.
This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36
Combining like terms on the right, we have
x²-12x+36=97
