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WINSTONCH [101]
3 years ago
8

Identify an equation in slope Intercept form for the line parallel to y= -3x+7 that passes through (2,-4)

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

<h2>y = -3x + 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation of a line:

y=-3x+7\to m=-3,\ b=7

Parallel lines have the same slope. Therefore we have the equation:

y=-3x+b

Put the coordinates of the given point (2, -4) to the equation:

-4=-3(2)+b

-4=-6+b               <em>add 6 to both sides</em>

2=b\to b=2

Finally:

y=-3x+2

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The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

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The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = \frac{1}{2} \times h \times p

The side of the triangle is 10 units.

Apothem of an equilateral triangle

s = \frac{\sqrt{3} a}{6}

s= \sqrt{3} \times 10/6

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

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Therefore, the perimeter of the equilateral triangle is 30 units.

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A = 1/2 \times 2.9 \times 30

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

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Learn more about the apothem;

brainly.com/question/10580427

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