2 years ago

What is the slope of the line going through (-8,13) and (-7,9)?

Mathematics

1 answer:

7nadin3 [17]2 years ago

5 0

Answer:

1. m = -4

2. y - 13 = -4(x + 8)

3. y - 9 = -4(x + 7)

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (9 - 13)/(-7 - -8) = -4/+1 = -4

The point slope formula using (-8,13):

y - 13 = -4(x- -8) => y - 13 = -4(x + 8)

The point slope formula using (-7,9):

y - 9 = -4(x - -7) => y - 9 = -4(x + 7)

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2 years ago

In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.

Mrrafil [7]

9514 1404 393

Answer:

47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

sin(T)/t = sin(R)/r

sin(T) = (t/r)sin(R) = (10/20)sin(104°)

T = arcsin(sin(104°)/2) ≈ 29°