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FrozenT [24]
3 years ago
13

Find the midpoint of a segment whose endpoints are (9, –7) and (–3, 5).

Mathematics
1 answer:
suter [353]3 years ago
7 0
For this question, you would have to use the midpoint formula. 
(X1 +X2 / 2 , Y1 + Y2 / 2)

In other words, 
(9 + -3 / 2 , -7 +5 / 2)
(6 / 2 , -2 / 2)
(3 , -1)

Your midpoint is (3, -1)
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Subtract 42 from 6 and you get 36
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Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
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For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

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Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

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3 years ago
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Step-by-step explanation:

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Area=πr^2

 find the area then divide by 8


we know that diameter=2radius or diameter/2=radius so 
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4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
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3 years ago
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