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marshall27 [118]
3 years ago
7

Which values are areas of cross sections that are parallel to a face of this right rectangular prism?

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer:

A = 24

Step-by-step explanation:

We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.

So the area of the cross section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

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17. y=1/2x+5

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Step-by-step explanation:

Number 17.

(4,7); parallel to y=1/2x-1

You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.

1. Use the point-slope formula to solve for the slope-intercept equation.

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y=1/2x+5

Number 18.

(4,7); perpendicular to y=1/2x-1

You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.

1. Use the point-slope formula to solve for the slope-intercept equation.

y-y1=m(x-x1)

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Number 19.

f(3)=-1

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To write a linear equation, first find the slope with the slope formula.

x1= 3

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Use the point-slope formula and solve for the slope-intercept equation.

y-y1=m(x-x1)

y-1=2(x-4)

y-1=2x-8

y=2x-7

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