Mathematics: What is an equation of the line that is perpendicular to y=−45x+3 and passes through the point (4, 12) ?

What is an equation of the line that is perpendicular

Ответ:

malachitorres813

10.03.2022

Mathematics

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $y=-45x+3\to m_1=-45$

Therefore

$m_2=-\dfrac{1}{-45}=\dfrac{1}{45}$

We have the equation of a line:

$y=\dfrac{1}{45}x+b$

Put the coordinates of the point (4, 12) to the equation of a line:

$12=\dfrac{1}{45}(4)+b$

$12=\dfrac{4}{45}+b$ subtract $\dfrac{4}{45}$ from both sides

$11\dfrac{41}{45}=b$

$\boxed{y=\dfrac{1}{45}x+11\dfrac{41}{45}}$

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Ответ:

mikaelalcool1

26.04.2021

Mathematics

Decompression melting often occurs at divergent boundaries, where tectonic plate s separate. The rifting movement causes the buoyant magma below to rise and fill the space of lower pressure. The rock then cools into new crust.

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What is an equation of the line that is perpendicular to y=−45x+3 and passes through the point (4, 12) ?

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