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Tom [10]
3 years ago
8

State the equation of the line described.

Mathematics
2 answers:
Xelga [282]3 years ago
8 0

Answer:

Step-by-step explanation:

Perpendicular lines have their slope <u>negative reciprocal</u>

y= -3x +3 has the slope -3

y = (1/3)x +b is the line that is ⊥ so it has the slope (1/3)

The line passes trough the point (x=-2, y=8) so substitute the x and y to find b

8 = (1/3)(-2) +b, multiply (1/3)(-2) = -2/3 and add 2/3 on both sides

8+(2/3) = b, find the common denominator and add the fractions

[(3*8)+2 ]/3 =b

(26/3)  = b

The equation of the line described is y= (1/3)x +(26/3)

Stells [14]3 years ago
4 0

Answer:

y = mx + b

Since it is perpendicular to the given line, its slope is the negative reciprocal of the slope of the given line.

Slope of given line:

m0 = -a/b = -(-3) / (1) = 3

Slope of perpendicular line:

m = -1/3

y = (-1/3)x + b

Use the given point to find b.

2 = (-1/3)(3) + b

2 = -1 + b

b = 3

y = (-1/3)x + 3

Step-by-step explanation:

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Imagine you have a classmate who has never had an introduction to statistics in a math course. Explain to that person how the pr
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3 years ago
the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti
Montano1993 [528]
To solve this problem you must apply the proccedure shown below:

 1. You have that the formula for calculate the area of a triangle is:

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 bh/2=124
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 2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

 Base=b/2
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 3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

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<span>
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<span>
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3 years ago
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After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
torisob [31]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

s(av) =  \frac{∆x}{∆t}  \\

s(av) = average \:  \: speed

∆x = covered \:  \: distance

∆t = time \:  \: of \:  \: the \:  \: covered \:  \: distance \\

_________________________________

s(av) =  \frac{183}{3}  \\

s(av) = 61 \:  \:  \frac{mile}{hour}

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5 0
2 years ago
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