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likoan [24]
3 years ago
15

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6                             take the number -3

negative reciprocal = -1/6                        negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

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Genrish500 [490]

The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees

<h3>How to solve for angle A?</h3>

Start by solving the acute part of angle A using the following sine function

sin(Ax) = (30 - 4)/32

Evaluate the quotient

sin(Ax) = 0.8125

Take the arc sin of both sides

Ax = 54.3

The measure of angle A is then calculated as:

A = 90 + Ax

This gives

A = 90 + 54.3

Evaluate

A = 144.3

Hence, the measure of angle A is 144.3 degrees

<h3>The angle to cut the molding</h3>

In (a), we have:

Ax = 54.3

This represents the angle where the molding would be cut

Hence, the angle to cut the molding is 54.3 degrees

Read more about angles at:

brainly.com/question/1592456

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4 0
1 year ago
What is the area of the rectangle, in square feet?<br> 29<br> 58<br> 120<br> 180
Fittoniya [83]

Answer:

180

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Can someone help me with these questions <br><br> You have to write then in a expression
cupoosta [38]

Answer:

(11)q/2+8

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3 0
3 years ago
Solve for x.<br> 9(x + 2) = x - 6
jeyben [28]

Answer:

9(x + 2) = x - 6

9x+18=x-6

9x-x=-18-6

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x=-24/8=-3 is your answer

4 0
3 years ago
Which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?
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(4,5),(-3,-1)
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y - y1 = m(x - x1)
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using points (-3,-1)...x1 = -3 and y1 = -1
now we sub...pay attention to ur signs
y - (-1) = 6/7(x - (-3) =
y + 1 = 6/7(x + 3) <===
6 0
3 years ago
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