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2 years ago

Given the equation -5x+2y=-10 what is the equation of the line perpendicular to the line?

Mathematics

1 answer:

meriva2 years ago

4 0

Answer:

The equation of the perpendicular line would be y = -2/5x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-5x + 2y = -10

2y = 5x - 10

y = 5/2x - 5

This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

y = -2/5x - 1

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If you look carefully at the graph, you'll see that the line goes smack through the intersection of x=4 and y=3, and thus "rise" is 3 and "run" is 4.

The slope is then m = rise/run = 4/3.

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2 years ago

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Identify the triangle PQR as isosceles (two sides of equal length), equilateral (three sides of equal length), or a scalene

Ipatiy [6.2K]

Answer:

Isosceles

Step-by-step explanation:

In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).

Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.

The distance formula is the following:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

so now we can find the desired distances, let's start with the distance between P and Q:

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which yields:

$|PQ|=\sqrt{17}$

next, let's find the distance between P and R:

$|PR|=\sqrt{(-4-(-3))^{2}+(9-5)^{2}}$

which yields:

$|PR|=\sqrt{17}$

and finally the distance between Q and R:

$|QR|=\sqrt{(0-(-3))^{2}+(8-5)^{2}}$

which yields:

$|QR|=3\sqrt{2}$

As you may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.

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2 years ago

3. Round off the following numbers to three decimal places: a) 31,1104 b) 0,10989

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B) 0.110

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2 years ago

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4 less than the product of one and a number z

AleksAgata [21]

Answer:

z - 4

Step-by-step explanation:

Step 1: Convert "4 less"

-4

Step 2: Convert "Product of one and a number z"

1 · z

Step 3: Combine

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Is 24 a factor or multiple of 36

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3 years ago

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