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natima [27]
3 years ago
8

When graphed, the three lines y.** 2. y. 2x-1, and y--2 intersect in such a way that they form a triangle

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

(1,1); (2,0) and (-1,-3)

Step-by-step explanation:

Given

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

y = 2x - 1 --- (2)

y = x -2 ---- (3)

Required

The vertices of the triangle

To do this, we simply equate the equations.

Equate (1) and (2)

-x + 2 = 2x - 1

Collect like terms

-x-2x=-2-1

-3x=-3

Divide by -3

x =1

Substitute x =1 in (1), to get the y-coordinates

y=-x+2

y=-1+2

y=1

So, the coordinate is: (1,1)

Equate (1) and (3)

-x + 2 = x - 2

Collect like terms

-x  -x = -2 - 2

-2x = -4

Divide by -2

x=2

Substitute x=2 in (1) to get the y coordinate

y=-x+2

y=-2+2

y=0

So, the coordinate is (2,0)

Equate (2) and (3)

2x - 1 = x - 2

Collect like terms

2x-x=1-2

x=-1

Substitute x=-1 in (2) to get the y coordinates

y = x -2

y=-1-2

y=-3

So, the coordinate is (-1,-3)

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