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Over [174]
3 years ago
13

Write an equation of the line that goes through the point (–6, 6) and is perpendicular to the line y=-2x+2

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

Slope-intercept form: y = x/2 + 9

Standard form: x - 2y = -18

Step-by-step explanation:

y = -2x + 2

This equation is already in slope-intercept form, y= mx + b, where slope (m) is equal to -2.

Slope of the line perpendicular to the given line

= 1/2 passing through point (-6, 6)

y - 6 = (1/2)(x + 6)

y = (1/2)x + 9 (Slope-intercept form)

2y = x + 18

x - 2y = -18 (Standard form)

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Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th stree
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Answer: The starting time is 2:27 and finishing time is 7:09.    


Step-by-step explanation: It is given that Ben started from 4th street and he finished at 98th street.

Also, at 3:00, he was on 15th street and at 4:30, he was on 45th street.

That is, time taken to cover (45-15), i.e., 30 streets is 90 minutes,                           so the time taken to cover 1 street is 3 minutes.

Therefore, Ben covers distance from one street to second in 3 minutes. Since he started from 4th street, and there are 11 streets to cover between 4 and 15, so Ben's starting time was (3:00 - 3×11 min) = 2:27.

And his finishing time was (4:30 + 3×53 min) = 7:09.

Again, the equation that tells us on what street 'N' he was after time 'T' of his starting can be written as

N=4+\dfrac{T}{3.}

Thus, the starting and finishing time was 2:27 and 7:09 respectively.



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