Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.Passing through (0, -8) and (-3, -4)

A. y = - x - 8
B. y = x + 8
C. y = - x + 8
D. y = x - 8


Answer: A

Mathematics

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Find the vertices and foci of the ellipse. +  = 1

A. Vertices: (0, ±5); Foci: (0, ±3) B. Vertices: (±5, 0); Foci: (±4, 0) C. Vertices: (±5, 0); Foci: (±3, 0) D. Vertices: (0, ±5); Foci: (0, ±4)

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Determine whether the events are independent.A bag contains 8 red and 8 green marbles. A marble is drawn, replaced in the bag, then a second marble is drawn. Are the events "first marble is red" and "second marble is green" independent events?

A. No B. Yes

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Find the missing parts of the triangle.B = 27.4°b = 11.68a = 24.0 

A. A = 14.7°, C = 138.9°, c = 39.68 B. A = 12.7°, C = 138.9°, c = 37.68 C. A = 13.7°, C = 138.9°, c = 35.68 D. No solution

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Solve the problem.Janet is training for a triathlon. Yesterday she jogged for 12 miles and then cycled another 31.5 miles. Her speed while cycling was 6 miles per hour faster than while jogging. If the total time for jogging and cycling was 3.75 hours, at what rate did she cycle? 

A. 13 miles per hour B. 16 miles per hour C. 14 miles per hour D. 15 miles per hour

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