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balu736 [363]
3 years ago
11

I need to learn how to solve this problem

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

x = 7/2, so every side equals 15.

Step-by-step explanation:

The first thing you want to notice about this problem is that keyword "equilateral." That means every one of the sides are equal, and that means you can play around with the algebra to get your answer.

In an equilateral triangle, if you have two sides 4x + 1 and 6x - 6, these sides must be equal. To solve for x, simply set these two equations equal to each other. Note that you can pick any pairing of the three sides and get the same answer; I only chose these because they look easier.

4x + 1 = 6x - 6 ... subtract 4x from both sides

1 = 2x - 6 ... add 6 to both sides

7 = 2x ... solve for x

x = 7/2

You get the same answer if you try 8x - 13 = 4x + 1, and if you do 8x - 13 = 6x - 6. Now that you have the value of x, take that and plug it into ANY of the sides to get the length. (It would be good to plug 7/2 into all of them to check your work!)

4(7/2) + 1 = 15

So the lengths are all 15 feet each.

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The coordinates of points M,N, and P are ....
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Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

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So now we want these two to intersect.  We just set them equal to each other.

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Delicious77 [7]
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Answer:

1. -3 = -8, 0 = 1, 2 = 7

Step-by-step explanation:

1. Plug in the x values for x in the equation and graph the coordinates (examples; (-3, -8))

2. do the same thing as #1

example; y = -(-3) - 2

3. Plug in 2 into the equation, giving you your y value, and plug the coordinates in

4. you can make up the x coordinates, I would do -1, 0, 1, and 2. and just plug those in for the x in the equation and graph.

5. Follow the same steps as the last problems but just connect the points

6. Same steps as the other problems, just pick some points and plug them into the equation.

I hope this helps

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3 years ago
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