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2 answers:
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Answer:
( x-6)^2 -17
Step-by-step explanation:
X^2 - 12x + 19
we need it in given below form
(x + a)^2 + b
we know that
lets convert that in same form
X^2 - 12x + 19 = x^2 + 2(-6)x + 19
comparing x^2 + 2(-6)x to x^2 + 2ax
we have a -6
now
(x-6)^2 = x^2 + 2(-6)x + 36
36 is missing in the x^2 + 2(-6)x + 19 hence to get that
we add and subtract 36 in the above equation
so we have
x^2 + 2(-6)x + 19 + 36 -36
rearranging it \
(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)
=>( x-6)^2 -17
comparing the above equation to
(x + a)^2 + b
we have a = -6
b = -17
( x-6)^2 -17
Answer:
Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:
Where:
- r= radius
- h= height
The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
- r= 4 ft
- h= 8 ft
- π= 3
Substitute the values into the formula.
Solve the exponent.
- (4 ft)²= 4 ft * 4 ft = 16 ft²
Multiply the three numbers together.
The volume of the cylinder is approximately <u>384 cubic feet.</u>