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Fittoniya [83]
3 years ago
6

A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic

cm. How much water you will be able to fill the glass container with the metallic cube inside? Express your answer in factored form.​
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

16(3a-2b)(4a^2+3ab+2b)

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold 216a^3-64b^3=(6a)^3-(4b)^3cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that (6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)

Therefore, the answer is \boxed{16(3a-2b)(4a^2+3ab+2b)} cubic centimeters and we're done!

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Alex17521 [72]

D is the answer

because you are doing y=2(x+3)^2 - 5

First, do exponents

(x+3)(x+3) = x^2 + 6x + 9

now Multiply your answer by 2

2(x^2 +6x + 9) = 2x^2 + 12x + 18

Then, Subtract 5 from 18

2x^2 +12x + 18-5 = 2x^2 + 12x + 13

bringing you to answer D


3 0
3 years ago
Read 2 more answers
What is the line of semmetry for the parabola whose equation is y =x^2 +10x=25
frozen [14]

Answer:

x = -5

Step-by-step explanation:

The equation y = x^2+10x+25  can be factored to (x+5)^2

when (x+5)^2 = 0

x = -5

meaning the equation has a line of symmetry at x = -5

5 0
3 years ago
Solve for a.<br> 4/a+4 =-1/a+9
Bad White [126]

Answer:

a = -8

Step-by-step explanation:

you can solve this proportion by cross-multiplying:

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now distribute to eliminate parentheses

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I thought I already answered this but its -10
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gene sold 10 glasses of lemonade while setting up his lemonade stand. after opening, he sold an average of20 glasses each hour.
Dovator [93]
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