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4 years ago

What is the perpendicular line in slope form of the equation (-5,8);y=1/5x-1

Mathematics

2 answers:

Likurg_2 [28]4 years ago

7 0

Answer:

y = -5x - 17

Step-by-step explanation:

Perpendicular lines has the negative reciprocal slope, so the slope is -5.

The y-intercept can be found by using point (-5,8) and plugging it into the equation: 8 = -5(-5) + b, b = -17. Unless you are not looking for a specific line. Then anything can be used as d.

denpristay [2]4 years ago

5 0

Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17

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What is the volume of a regular pyramid whose base has an area of 36 ft? and whose height is 13 ft?

Lesechka [4]

Answer:

Volume of regular pyramid = 156 ft²

Step-by-step explanation:

Given:

Area of regular pyramid = 36 ft²

Height of regular pyramid = 13 ft

Find:

Volume of regular pyramid

Computation:

Volume of regular pyramid = [1/3][b][h]

Volume of regular pyramid = [1/3][36][13]

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3 years ago

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son4ous [18]

Answer:

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Step-by-step explanation:

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2 years ago

80 to 60 as a fraction

Alenkasestr [34]

Answer:

4/3

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Leto [7]

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3 years ago

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago