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enot [183]
3 years ago
15

The length of a rectangle is 2 ft longer than its width.

Mathematics
1 answer:
notsponge [240]3 years ago
6 0
If the length is 2ft longer than it’s width
Let’s assume width as X and so the length will be X+2
Perimeter=40ft
Putting the values into a equation, we get,
X+2+X=40
=2X+2=40
=2X=38
=X=19
Therefore
Length =X+2=19+2
=21ft
Width=X=19ft
Area of rectangle =lxb
= 21x19
3992ft
HOPE IT WAS HELPFUL :)
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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)
pshichka [43]

Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

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c. New hat price = $15 so p = 15x

p = 15x >= 1500

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Step-by-step explanation:

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