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Sphinxa [80]
3 years ago
9

St. Petersburg has been described as the most "Western" Russian city. a. True b. False

Geography
1 answer:
Ann [662]3 years ago
7 0
<span>St. Petersburg has been described as the most "Western" Russian city.

Answer: True

HOPE THIS HELPS! ^_^</span>
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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

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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

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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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