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2 years ago

Find the slope of the line passing through each pair of points. (9,4) and (5,-3).

Mathematics

1 answer:

rjkz [21]2 years ago

3 0

Answer:

$m=\frac{7}{4}$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

(9, 4)

(5, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{-3-4}{5-9}$
Subtract: $m=\frac{-7}{-4}$
Simplify: $m=\frac{7}{4}$

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Answer:

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3 years ago

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3 years ago

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Find the volume of a sphere with surface area equal to 100π ft^2

Anni [7]

Answer:

$V=\frac{500}{3}\ \pi(ft^{3})$

Step-by-step explanation:

Hello.

to find the volume of a sphere we must know its radius,

we don't know the radius but we have the area

$A=4\pi r^{2} \\ \\isolating\ r\\\\A=4\pi r^{2}\\r=\sqrt{\frac{A}{4\pi } } \\r=\sqrt{\frac{100\ ft^{2} }{4\pi}} \\\\ r= \sqrt{25\ ft^{2} }\\ r=5\ ft\\$

Now, replacing this value in the volume equation

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have a great day

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3 years ago

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