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svetoff [14.1K]
3 years ago
8

Find an equation of the line given one point and the slope. (–10, –5);

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
You forgot to provide the slope but here is how you do this 

the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x) 
=> (-5 - y) = -50 - (5)x --- add +5 to both sides 
=>  -y = (-50 + 5) - (5)x --- multiply both sides -1 
=> y = 5x + 45  --- this will be your equation. 
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The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

                                               =3840  cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

\Leftrightarrow x =\frac{2990}{320}

⇔x = 9.34 inches

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Answer:

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Once you know the center and radius, you can construct the inscribed circle.

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Answer:

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Step-by-step explanation:

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The constant of proportionality is 0.25.

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