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belka [17]
3 years ago
8

The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

m=3

Step-by-step explanation:

Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, y=16-\frac{x}{3}. The slope or m=-\frac{1}{3}. This means the slope of the other line will be the negative reciprocal which is -(-3)=3

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(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

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Now apply zero product property to the factors to solve for x:

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3 years ago
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JulijaS [17]

Answer:

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7 0
3 years ago
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
Rudiy27
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answer
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3 0
3 years ago
Read 2 more answers
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Gnom [1K]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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