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Svetradugi [14.3K]
3 years ago
13

two lighthouses spot a boat. lighthouse A spots the boat at 55 degrees north of east is 68 meters from the boat. lighthouse B sp

ots the boat at 44 degrees north of west. which lighthouse is closer to the boat?

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

The answer & explanation for this question is given in the attachment below.

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Anettt [7]

Answer:

\sf \bf y - intercept = \dfrac{56}{5}

Step-by-step explanation:

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  • First find the slope of the line.

      \sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}

                  \sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}

 slope y-intercept form of the line:  y = mx + b

Substitute the slope and x and y in the above equation. We can choose anyone of the given points.

     0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}

3 0
1 year ago
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