For this case we can model the problem as a cylinder.
The volume of a cylinder is given by:
Where,
Ab: base area
h: cylinder height
Substituting values in the equation we have:
From here, we can clear the area of the base
Answer:
An equation that can be used to find the area of the circular base is:
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
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<h3>use x=4</h3>
When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
<h3>solve 2-step equation</h3>
The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
set them equal to each other
x²+1=x+1
minus 1 from both sides
x²=x
minus x both sides
x²-x=0
factor
x(x-1)=0
set each to 0
x=0
x-1=0
x=1
subsitute back to find y values
y=x+1, y=0+1, y=1, one point is (0,1)
y=x+1, y=1+1, y=2, another point is (1,2)
the 2 points of intersection are (0,1) and (1,2)
