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2 years ago

Please help me with this homework

Mathematics

1 answer:

Akimi4 [234]2 years ago

5 0

Answer:

Additive Identity I think, I'm not sure

Step-by-step explanation:

Tell me in the comments if I'm wrong.

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Answer:

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Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

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Open bracket

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Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

So:

$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

$x = a$

Where:

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So:

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Hence, the equation is:

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