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barxatty [35]
2 years ago
5

You're at 34 degrees north and 118 degrees west. You go north 10.9 degrees and west 80.3 degrees. What's your new location?

Geography
1 answer:
zhannawk [14.2K]2 years ago
3 0

Answer:

44.9 degrees north, 198.3 degrees west

Explanation:

34+10.9=44.9

118+80.3=198.3

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Let m and c represent constants with m nonzero. What is the equation of the line perpendicular to y=m(x+c) and with the same y-i
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Answer:

y = -\frac{1}{m}x + mc

Explanation:

Given

y = m(x + c)

Required

Determine an equation of a perpendicular line but with the same y intercept

y = m(x + c)

Open bracket

y = mx + mc

A linear equation is represented with:

y = ax + b

Where

a = slope

b = y\ intercept

By comparison:

a = m

b = mc

So, the slope of y = m(x + c) is m

Because the new line is perpendicular to y = m(x + c), the relationship between their slopes is:

a_2 = -\frac{1}{a_1}

Where

a_1 = slope of the first equation

a_2 = slope of the second equation

Substitute m for a_1 in a_2 = -\frac{1}{a_1}

a_2 = -\frac{1}{m}

Hence, the slope of the new equation is: -\frac{1}{m}

From the question, we understand that they have the same y intercept.

So, the equation of the new equation is:

y = -\frac{1}{m}x + mc

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