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mr_godi [17]
3 years ago
11

A cube shaped tissue box is made entirely of cardboard. The tissue box has a length of 5 in.

Mathematics
2 answers:
Arisa [49]3 years ago
6 0
Since no further dimensions are given, I assume that the question is asking for the surface area of the box.

A=6a^{2}
A=6(25)
A=150in^{2} of cardboard. 
Daniel [21]3 years ago
5 0
A cube has equal length, height and depth.

The area of one face is 5inches * 5inches, which would equal 25inches^2.

Multiply this by 6, for the 6 faces on a cube, and we get 150inches^2 of cardboard.
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The formula of the volume of the rectangular prism:

V = length × width × height

We have:
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A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.
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Answer:

\boxed {\boxed {\sf y=8x-14}}

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

y-y_1= m(x-x_1)

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y- (-6) = 8(x-1)

Remember that 2 back to back subtraction signs are the same as an addition sign.

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The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

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y+6= (8x)+ (-8)

y+6=8x-8

6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.

y+6-6=8x-8-6

y=8x-8-6

y= 8x-14

The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.

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