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3 years ago

What are the missing terms???

Mathematics

1 answer:

Ivenika [448]3 years ago

6 0

Answer:

$x^{4} +18x^{2} +81=(x^{2} )^{2}+2(9)^{2} +(3)^{4} \\x^{4} +18x^{2} +81=(x^{2} +9)^{2}$

Step-by-step explanation:

This is just a perfect square

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

Area:

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

Cost:

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10HL = 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

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3 years ago

Steven has 163 paper clips. He is going to keep 27 for himself, and divide the rest among 8 of his friends. How many paper clips

denis23 [38]

Steven kept 27 paper clips for himself with means 136 paper clips are left. (163-27) now divide 136 by 8 you get 17. Each friend receives 17 paper clips.

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3 years ago

Which of the following describes a situation in which the total distance a ball travel is zero meters from its starting point?

shtirl [24]

Answer:

2nd choice: The ball first bounced up to the height of 2 meters, and then falls 2 meters towards the ground

Step-by-step explanation:

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3 years ago

Suppose that a function does have an inverse. The graph of its inverse will be the reflection of the graph of the function over

pishuonlain [190]

The Answer to this problem is (the line y=x). I'm positive that this is the right answer!!!

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3 years ago

Read 2 more answers

I need to know how to balance the scales it says ''Make the scales balance by using addition and subtraction to find in the miss

kramer

This would be much, much, much easier if you told us
what numbers you do have on each side of the scale now.

The idea (probably) is that the scale is balanced when
the numbers add up to the same amount on both sides.

So you need to put some numbers in the blanks that will either
add more to the side that has less, or subtract some from the side
that has more, to make both sides equal.

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3 years ago