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Makovka662 [10]
3 years ago
12

What is an equation of the line that passes through the point (-7,-8) and is

Mathematics
2 answers:
myrzilka [38]3 years ago
5 0

Answer:

all work is shown and pictured

Marta_Voda [28]3 years ago
4 0

Answer:

y = 2x - 1

Step-by-step explanation:

The line passes through point (-7,-8)

The line is parallel to line whose equation is 2x - y = 6

Converting the equation of the second line into form y = mx + c;

2x - y = 6 is equal to y = 2x - 6 (the slope of this line is 2)

For parallel lines the value of their slopes is the same.

So our first line passes through point (-7,-8) and has a slope of 2

Taking another point (x,y) on the line;

Slope = Change in y ÷ change in x = \frac{y - - 8}{x - -7} = 2

y + 8 = 2x + 7

y = 2x + 7 - 8

y = 2x - 1

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find the work done by a person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long (i
tankabanditka [31]

The work done in pushing the box is 64000 lb-ft²/s²

<h3>How to calculate the work done by the person?</h3>

Since person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long, the work done, W is

W = mgh where

  • m = mass of box = 40 lb,
  • g = acceleration due to gravity = 32 ft/s² and
  • h = height of incline = LsinФ where
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So, W = mgh

W = mgLsinФ

So, substituting the values of the variables into the equation, we have

W = mgLsinФ

W = 40 lb × 32 ft/s² × 100 ftsin30°

W = 1280 lb-ft/s² × 100 ft × 0.5

W = 1280 lb-ft/s² × 50 ft

W = 64000 lb-ft²/s²

So, the work done in pushing the box is 64000 lb-ft²/s²

Learn more about work done here:

brainly.com/question/25970931

#SPJ1

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1 year ago
Trapezoid CDEF is congruent to trapezoid TORS. If CF and DE are parallel, which pair of sides in trapezoid TQRS MUST also be par
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D

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