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Lubov Fominskaja [6]
4 years ago
14

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)

Mathematics
1 answer:
Airida [17]4 years ago
5 0

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is -\frac{1}{3}, then the slope of the line perpendicular is 3.

Knowing this, we can start to construct the equation for the line:

y = mx + b

y = 3x + b

To solve for b, we plug in the coordinates of the point that we know the line runs through, (2, 1):

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = -5

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

y = 3x - 5

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kenny6666 [7]

Answer:

16 feet in length.

Step-by-step explanation:

In this situation, you are given the area and the width of the full carpet, furthermore, you must reverse the formula for area to find the length, as so:

<u>Area Formula</u>: A=<em> l • w</em>

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I hope this was helpful!

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3 years ago
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3 years ago
All zeros of polynomial function 3x^4 +14x^2 -5
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Answer:

Correct answer:  x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

Step-by-step explanation:

Given:

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this equation is solved by a shift  x² = t and get:

3 t² + 14 t - 5 = 0

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the solution t₁ = -5 is not accepted because it cannot be x² = -5

we accepted  t₂ = 1 / 3

x² =  1 / 3  ⇒  

x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

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