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3 years ago

The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17

16 15 14 13 next help end review review screen

Mathematics

1 answer:

ioda3 years ago

6 0

$75=7^2+5^2+1^1\\\\ 7+5+1=13$

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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topjm [15]

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2 years ago

What is 24.5 as a fraction.

IRINA_888 [86]

24 1/2. 0.5 is equal to 1/2

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2 years ago

The graphs below are based on government data on unemployment for 2017.

lord [1]

You already got the first two questions right: the group with the highest number of people unemployed / unemployment rate is the one with the highest bar in the respective histogram.

The two graph are related in this sense: take the first age group as reference. We know that 700 people from 16 to 19 are unemployed, and that those people represent 14% of the population, then we know that the 14% of the population between 16 and 19 is 700.

We can deduce that, if x is the number of people between 16 and 19, we have

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3 years ago

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Tamiku [17]

It's very simple just divide 21.75 by five and that's your answer did you want me to do it?

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3 years ago

Read 2 more answers