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meriva
3 years ago
8

Write the equation of a line that is perpendicular to x = -1 and that passes through the Point (8, -4).

Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

y = - 4

Step-by-step explanation:

x = - 1 is the equation of a vertical line parallel to the y- axis

The equation of a line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (8, - 4 ) with y- coordinate - 4 , then

y = - 4 ← equation of perpendicular line

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Answer:

Perimeter of polygon B = 80 units

Step-by-step explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

Let x be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for x:

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

\frac{24}{15} =\frac{128}{x}

x=\frac{128*15}{24}

x=\frac{1920}{24}

x=80

We can conclude that the perimeter of polygon B is 80 units.

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