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LiRa [457]
3 years ago
6

If cot xº = 3/4 what is the value of b?

Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

\cot(x)  =  \frac{3}{4}  =  \frac{10.5}{2b}

4 \times 10.5 = 2 b \times 3

42 = 6b

b = 7

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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
spin [16.1K]
The other endpoint is (1, -17).

The midpoint formula is:

m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Using our midpoint and endpoint, we have:
(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}


For the first equation (to find the x-coordinate) we will multiply both sides by 2:
6\times2=\frac{11+x_2}{2}\times 2
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\\12=11+x_2

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
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For the second equation (the y-coordinate) we multiply both sides by 2:
-11\times2=\frac{-5+y_2}{2}\times 2
\\
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