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Trava [24]
3 years ago
13

Find an equation of the line L that passes through the point (2,-12) and satisfies the given condition.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

y = 1/4 x - 12.5

Step-by-step explanation:

8x + 2y = -8 (rewrite in y = mx + b form)

2y = -8x -8 (divide both sides by 2)

y = -4x -2 for first line

Perpendicular line L has "opposite/inverse" slope

y = -4x + b becomes y = 1/4 x + b

What's b (the y-intercept)?

Plug the point (2, -12) into the equation y = 1/4 x  + b to solve for b

-12 = 1/4 (2) + b

-12 = 1/2 + b (subtract 1/2 from both sides)

-12.5 =b (rewrite equation)

y = 1/4 x - 12.5

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3 years ago
A student incorrectly determined that the length of DE is 29 cm explaining that 12-7 = 5 and 36-7 = 29 explain what mistake the
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The length of the hypotenuse ≈ 39.7 cm

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Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.

The equation for Pythagorean calculation is:

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In the given, we have:

first leg = 30 cm

second leg = 26 cm

Substitute with the givens in the above equation to get the hypotenuse as follows:

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This means that:

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