2 years ago

Describe the slope of a line when both rise and run are positive

1 answer:

6 0

If both the rise and the run are positive, then the slope must be positive.

This is because when calculating slope, it equals rise over run. If you divide a positive number by a positive number, you will always get a positive result. A positive slope is one that has an increasing y value as x increases.

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A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing

Usimov [2.4K]

9514 1404 393

Answer:

see below for a sketch
12 km

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.