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daser333 [38]
3 years ago
10

[2m-n+p]^2-[2m+n-p]^2

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

( 2m - n + p )² - ( 2m + n - p )² = 4m² + n² + p² - 4mn + 4mp - 2np - ( 4m² + n² + p² + 4mn - 4mp - 2np ) = 4m² + n² + p² - 4mn + 4mp - 2np - 4m² - n² - p² - 4mn + 4mp - 2np = -8mn + 8mp

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The net of a pyramid is shown below:
Shalnov [3]

Answer:

Step-by-step explanation:

height of pyramid = √(10²-(5/2)²) = √93.75

volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³

lateral area = 2×5×10 = 100 in²

base area = 5² = 25 in²

surface area = 100+25 = 125 in²

6 0
2 years ago
What is the final cost of the less expensive option?
Debora [2.8K]
The answer is d I think but idk
7 0
3 years ago
Please help me answer this question​
sukhopar [10]

Answer:

her first mistake was on line 3.

line 1: 80 + [2(3 1/2 + 1 1/2)]

line 2: 80 + [2(5)]

line 3: 80 + 10

line 4: 90

Step-by-step explanation:

on line 3 she added 80 + 2, but she should have multiplied 2 by 5. the correct steps would be:

line 1: 80 + [2(3 1/2 + 1 1/2)]

line 2: 80 + [2(5)]

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4 0
3 years ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost
Troyanec [42]

Im not going to graph it for you but the equation is

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4 0
3 years ago
Which option lists am expression that is not equivalent to 4^2/3
Vesnalui [34]

remember that

x^{\frac{a}{b}}=\sqrt[b]{x^a}

also x^{-a}=\frac{1}{x^a}

and (a^b)^c=a^{bc}


so

4^{\frac{2}{3}}


first one, that one is clearly not equal since 0.25≠4

2nd one, 0.25=1/4, so 0.25^{\frac{-2}{3}}=(\frac{1}{4})^{\frac{-2}{3}=  \frac{1}{(\frac{1}{4})^{\frac{2}{3}}}=4^{\frac{2}{3}}, which matches

3rd one, \sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}, which matches

4th one (\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}} which matches


answer is 0.25^{\frac{2}{3}}

4 0
3 years ago
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