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3 years ago

What are the 5 skills needed for thinking like a geographer

Geography

1 answer:

sergij07 [2.7K]3 years ago

4 0

Answer:

There are many skills needed to think like a geographer but the most important ones are. analytical skills, critical-thinking skills, and Writing skills.

Explanation:

If you don't know what analytical skills are, it is the ability to collect and analyze information. Probably the most important skill here.

If you have any questions feel free to ask in the comments.

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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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