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3 years ago

Through: (-3,0), perp. to y = 3x - 1

Mathematics

1 answer:

Marrrta [24]3 years ago

7 0

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

Given:

line y=3x-1

point (-3,0)

Write: equation of the line that is perpendicular to the given and passes through the point (-3,0)

Solution:

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

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Answer:

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Step-by-step explanation:

The equation for a parabola can be written as

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3 years ago

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Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t

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Answer:

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Step-by-step explanation:

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~ an aesthetics lover

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2 years ago

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Answer:

Step-by-step explanation:

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Find the first three terms of f(n + 1) = f(n) + 8, if f(1) = 27.

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I hope this helps you

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3 years ago

Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

e-lub [12.9K]

The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
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Take the square root:
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3 years ago