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Trava [24]
1 year ago
7

Graph a line that contains the point (6, -5) and has a slope of -2/3.

Mathematics
1 answer:
Lapatulllka [165]1 year ago
8 0

We know that the equation of the line is in the form y=-\frac{2}{3}x+b. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1

Hence, the equation of the line is y=-\frac{2}{3}x-1, and its graph looks something like follows.

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Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minu
Nezavi [6.7K]

Using the same-side interior angles theorem, the values of x and y are:

x = 80

y = 130

<h3>What is the Same-side Interior Angles Theorem?</h3>

The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.

(x - 30) and (x + 50) are same-side interior angles, therefore:

(x - 30) + (x + 50) = 180

Solve for x

x - 30 + x + 50 = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

(x - 30) + y = 180

Plug in the value of x

(80 - 30) + y = 180

50 + y = 180

y = 180 - 50

y = 130

Learn more about the same-side interior angles theorem on:

brainly.com/question/13867198

#SPJ1

5 0
2 years ago
I need help with this 50 points
Marina86 [1]

Answer:

Step-by-step explanation:

Vertically stretched. The action of vertically stretched is accomplished by altering a in

y = a* abs(x)

What that means is that you make a > 1. In this case, a = 2

So far, what you have is

y = 2*abs(x)

Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.

y = 2*abs(x) - b. Since we are moving down, b<0

y = 2*abs(x) - 6

Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.

Not true.

To move right you subtract something in the brackets.

y = 2*abs(x - 4) - 6

Graph

Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.

red: y = abs(x)

blue: y = 2*abs(x - 4) - 6

5 0
3 years ago
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Answer:

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Are the lines y=-5 and y=3 parallel
olganol [36]

Answer:

yes

Step-by-step explanation:

because both of them are horizontal straight lines

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Is MNO similar to PQO
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Answer:

Yes MNO is similar to PQO

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