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3 years ago

8

VOLUME A standard shipping box measures x inches high. The width is 3.5 inches more than the height, and the length is 3 inches

less than the height. The volume of the box is 561 cubic inches.

1 answer:

Allushta [10]3 years ago

7 0

Answer:

62.333 inches

Step-by-step explanation:

To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:

x*3.5*3=561 cubic inches

To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187

To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.

We are left with x = 62.333 inches.

Therefore, the height of the box is 62.333 inches

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Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation

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$y + x - 6 = 0$

Step-by-step explanation:

Given

$M(0,6) \ and \ N(6,0)$

Required

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So, the equation becomes

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$m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}$

$Using \ m = \frac{y - y_1}{x - x_1}$

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$-1 * x = \frac{y - 6}{x} * x$

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Reorder

$y + x- 6 = 0$

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Add x - 6 to both sided

$x - 6 -x+6 = y +x - 6$

$0 = y + x - 6$

$y + x - 6 = 0$

Hence, the equation of the line is $y + x - 6 = 0$

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3 years ago