Which equation represents a line passing through the point (8, 9) with a slope of 3?

Answers

Answer 1

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

What is the equation of a line passing through two given points in 2-dimensional plane?

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

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Answers

Answer:

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Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
What is the value of Drake's ring after 7 years? Round to the nearest cent.

Answers

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

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i hope this helps

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Answers

Answer:

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Step-by-step explanation:

the formula to find a cylinders volume is r and h so you just divide 14 and get 8, then you get the 10 and you solve for how you would usually get your cylinder volume. which is  V=πr2h=π·82·10≈2010.62

Answer:

V=1539.38

Step-by-step explanation:

V=πr2h=π·7^2·10≈1539.3804

or if you just want shortened version

V=π·7^2·10≈1539.3804

hope this helps!

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Answers

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Answers

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

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Area of circle:

What information do we have?

Area of watering pattern = 907.46 square​ feet

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907.46 = (3.14)r²

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Answer:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

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Answers

Answer:

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