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Vika [28.1K]
3 years ago
14

identifying equation in point slope form for the line perpendicular to y equals negative 1 / 3x - 6 that passes through -1,5

Mathematics
1 answer:
solmaris [256]3 years ago
3 0

Answer:

y = 3x +8

Step-by-step explanation:

The slope of the given line is -1/3. The slope of a perpendicular line is the opposite of the reciprocal of that: -1/(-1/3) = 3.

Then, in point-slope form, the equation of the line is ...

... y - k = m(x - h) . . . . . for slope m through point (h, k)

... y - 5 = 3(x -(-1)) . . . . . for line of slope 3 through (-1, 5)

... y = 3x +8 . . . . . . . . . simplify

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Length (L): 2w + 6

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Perimeter (P) = 2L + 2w

               240 = 2(2w + 6) + 2(w)

               240 = 4w + 12 + 2w

               240 = 6w + 12

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Length (L): 2w + 6   = 2(38) + 6   = 76 + 6   = 82

Answer: width = 38 ft, length = 82 ft

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In ΔEFG, f = 1.2 inches, ∠E=55° and ∠F=109°. Find the length of e, to the nearest 10th of an inch.
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