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Pie
3 years ago
10

Find the distance between the points. Round to the nearest tenth if necessary. (4,3) |(1,-1)

Mathematics
1 answer:
user100 [1]3 years ago
8 0
Three between the x values and four between the y values
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Solve for the given variable:<br> 14=63n
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Answer:

n = 2/9

Step-by-step explanation:

switch sides: 63n=14

divide both sides by 63: 63n/63 = 14/63

simplify: n = 2 / 9

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Find g. (-9)<br> g(+)= r^2 + 3r
oee [108]

Answer:

  • g(-9) = 64

Step-by-step explanation:

<u>Given function:</u>

  • g(r) = r² + 3r

<u>Find g(-9):</u>

  • g(-9) = (-9)² + 3(-9) = 81 - 27 = 64
7 0
2 years ago
De moirve's <br> (√3-i ÷ √3+i)^6 = 1
bulgar [2K]

(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)

… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)

… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))

… = (2 - 2√3 <em>i</em> ) / 4

… = 1/2 - √3/2 <em>i</em>

… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))

… = exp(<em>i</em> arctan(-√3))

… = exp(-<em>i</em> arctan(√3))

… = exp(-<em>iπ</em>/3)

By DeMoivre's theorem,

[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1

7 0
3 years ago
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