The expression that determines the volume of the container is 
<h3>How to determine the volume expression?</h3>
The given parameters are:
- Shape = Cone
- Height, h = 9 in
- Diameter, d = 4 in
The volume of the cone is calculated using:
So, we have:
This gives
Hence, the expression that determines the volume of the container is
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We have that
4x²-25y²<span>-8x+50y-121=0
</span><span>Group terms that contain the same variable, and move the constant to the opposite side of the equation
</span>(4x²-8x)+(-25y²+50y)=121
Factor the leading coefficient of each expression
4(x²-2x)-25(y²-2y)=121
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
4(x²-2x+1)²-25(y²-2y+1)²=121+4-25
Rewrite as perfect squares
4(x-1)²-25(y-1)²=100
<span>Divide both sides by the constant term to place the equation in standard form</span>
(4/100)(x-1)²-(25/100)(y-1)²=100/100
(1/25)(x-1)²-(1/4)(y-1)²=1
[(x-1)²]/25-[(y-1)²]/4=1
the answer is
[(x-1)²]/25-[(y-1)²]/4=1
Answer:0
Step-by-step explanation:
Simplifying
2x + -1x + 7 = x + 3 + 4
Reorder the terms:
7 + 2x + -1x = x + 3 + 4
Combine like terms: 2x + -1x = 1x
7 + 1x = x + 3 + 4
Reorder the terms:
7 + 1x = 3 + 4 + x
Combine like terms: 3 + 4 = 7
7 + 1x = 7 + x
Add '-7' to each side of the equation.
7 + -7 + 1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
0 + 1x = 7 + -7 + x
1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
1x = 0 + x
1x = x
Solving
1x = x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
1x + -1x = x + -1x
Combine like terms: 1x + -1x = 0
0 = x + -1x
Combine like terms: x + -1x = 0
0 = 0
Simplifying
0 = 0
The solution to this equation could not be determined.
You have to multiply how many pounds Jake can carry and how many pounds Jake's dad can carry.
The maximum height is the y-coordinate of the vertex (x,y) of the parabola.
First find the x-coordinate using the formula:
Now plug the value into the equation and find the y-coordinate:
The maximum height is 36 feet.
