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NemiM [27]
3 years ago
10

MIDPOINT & DISTANCE help

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

<h2>M(-6, 4)</h2>

Step-by-step explanation:

The formula of a midpoint of (x₁, y₁) and (x₂, y₂):

M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have two points (-3, 7) and (-9, 1).

Substitute:

x=\dfrac{-3+(-9)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{7+1}{2}=\dfrac{8}{2}=4

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Answer:

From the given ratio for tan\theta=\frac{4}{5} we found the values are

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csc\theta=\frac{1}{4}

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Step-by-step explanation:

Given the ratio for tan\theta=\frac{4}{5}

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tan\theta=\frac{4}{5}\hfill (1)

tan\theta can be written as

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Comparing equations (1) and (2) we get

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Equating the coressponding numerator and denominator respectively

Therefore sin\theta=4 and cos\theta=5

We can find csc\theta

csc\theta=\frac{1}{sin\theta}

=\frac{1}{4} (since sin\theta=4)

csc\theta=\frac{1}{4}

We can find sec\theta

sec\theta=\frac{1}{cos\theta}

=\frac{1}{5} (since cos\theta=5)

sec\theta=\frac{1}{5}

To find cot\theta:

cot\theta=\frac{1}{tan\theta}

=\frac{1}{\frac{4}{5}}

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=\frac{5}{4}}

cot\theta=\frac{5}{4}}

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