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miskamm [114]
3 years ago
13

3f + 9 < 21

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0
I'll solve 1,2, 8, and 9 and then you can use those techniques to solve the rest.

For 1, we subtract 9 from both sides to separate the 3f and get 3f<12. Dividing both sides by 3, we get f<4

For 2, we add 3 to both sides to get 4n ≥ 108 and dividing by 4 we get n ≥ 27

For 8, we can start off by expanding using the distributive property, getting 12c-15-2c >0. Next, we get 10c-15>0 and adding 15 to both sides we get 10c> 15. After that, we divide both sides by 10 to get c > 15/10 = c> 1.5

For 9, we expand again to get 15j-45+3j < 45. Next, we add 45 to both sides and add from there, getting 18j < 90. Next, we divide both sides by 18 to get j < 5
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A(-2,3)
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Answer:

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Step-by-step explanation:

we know that

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the formula to calculate the distance between two points is equal to

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step 1

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we have

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substitute in the formula

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step 2

Find the distance BC

we have

B(3,0),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}

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step 3

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we have

A(-2,3),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}

d=\sqrt{(-6)^{2}+(-2)^{2}}

d_A_C=\sqrt{40}\ units

step 4

Find the perimeter

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substitute the values

P=\sqrt{34}+\sqrt{58}+\sqrt{40}

P=19.8\ units

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