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vladimir1956 [14]
3 years ago
5

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains poi

nt (3, ?2).
Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

The equation would be y = 2x - 8

Step-by-step explanation:

The equation of the line would have a slope of 2, since parallel lines have the same slope. We can use that and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 2 = 2(x - 3)

y + 2 = 2x - 6

y = 2x - 8

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3 years ago
From a window 20 feet above the ground, the angle of elevation to the top of a building across
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Answer: The answer is 381.85 feet.

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This situation is framed very nicely in the attached figure, where

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From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

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\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

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