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Gekata [30.6K]
3 years ago
12

Write an equation for a direct variation that includes the point 4 16​

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

y = 4x

Step-by-step explanation:

The general formula for linear direct variation is y = kx, where k is the constant of proportionality.

If (4, 16) is on the graph of this line, then  16 = 4k, and k = 4.

Thus, the desired equation for linear direct variation is y = 4x.

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(-1, 2/3).

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Taking the derivative of f, we get f' = x^2 - 1 = 0.  Thus, x = -1 and x = +1.

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Find the volume of a box with a height that is 4 inches less than the
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Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

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volume of the rectangular prism = length × width × height

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The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the
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Answer:

68°

Step-by-step explanation:

Here,

  • Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

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→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>

Supplementary angles are,

  • 1st angle = (2x – 8)°

→ 2(38°) – 8

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→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

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