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andrezito [222]
3 years ago
15

What is an equation of the line that passes through the point

Mathematics
1 answer:
Ahat [919]3 years ago
3 0

Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

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A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inch
marissa [1.9K]

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                   48.08 in³ ---------------- $1.99

                         15  in³ ----------------  x

                          x = (15 x 1.99)/48.08

                          x = 29.85/48.08

                          x = $0.62

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2 years ago
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1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.

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2. Identify the squares under the radical and remove them.

5\sqrt{12xm^3}=5\sqrt{(4m^2)(3xm)}=5\sqrt{(2m)^2}\sqrt{3xm}\\\\=5\cdot 2m\sqrt{3xm}=\bf{10m\sqrt{3xm}}

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3 years ago
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Step-by-step explanation:

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