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olga nikolaevna [1]
3 years ago
7

A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following poi

nts could be a vertex of the triangle?
Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

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