<span>A new kind of temporary pavilion support for a square roof uses just two poles set at the diagonal corners of a square. The allowable distance between the poles is 18 feet. Find the area of the roof. The sides will have lengths of 18/sqrt(2). Since they are perpendicular, the area of the square will be (18^2)/2 = 81*4/2 = 162 square feet.
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Point-slope form: y - y₁ = m(x - x₁)
[m is the slope, x₁ and y₁ ---> (x₁, y₁) is the point]
Since you know:
m = 5
(2, 6) = (x₁, y₁) Substitute/plug in the values into the equation
y - y₁ = m(x - x₁)
y - 6 = 5(x - 2) The 1st option is your answer
5x^2+24x-5 factored is: (5x - 1)(x + 5)
Answer:
0.531 s
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These 2 angles are "vertical angles." Thus, angle 1 = angle 4.
Therefore, 6x+1 = 8x-17. Solving for x, 2x = 18 and x = 9 (answer)