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3 years ago

ASAP IM IN DESPRITE NEED OF SLEEP How do I write an equation in slope intercept form based off of a pair of parallel lines?

Mathematics

1 answer:

zimovet [89]3 years ago

4 0

Answer:

slope intercept form is based off: y = mx + b where m is slope and b is the y intercept.

you have to make 2 parallel lines. parallel lines have the same slope but different y intercept.

in other words they change at the same rate but start at different places.

an example is

x + 1 and x + 2

both have a slope of 1 but intercept the y axis at different places.

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3 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

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The maximum is the point (0.46,3.02)

see the attached figure

therefore

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8 0

3 years ago

Y=-4x-41 that passes through (-2,7)

dalvyx [7]

Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)

y-7=-4x-8

y=-4x-1

If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)

y-7=1/4x-1/2

y=-4x+13/2

4 0

3 years ago

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