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2 years ago

Find the equation of the line containing the point (3, 3) and parallel to the line

Mathematics

1 answer:

DIA [1.3K]2 years ago

3 0

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

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1 year ago

a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well

vampirchik [111]

Volume of water will it take to fill in the well is 4710 cubic feet

<h3><u>Solution:</u></h3>

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

<em><u>The volume of cylinder is given as:</u></em>

$\text { Volume of water in the well }=\pi r^{2} h$

Where "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

$\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}$

$\text { Volume of water in the well }=4710 \text { feet }^{3}$

Hence, the amount of water that can be stored in the well is 4710 cubic feet

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3 years ago

What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?

disa [49]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1) you have : x_1 =5 and y_1 =1

m the slope m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

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