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astra-53 [7]
3 years ago
12

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

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

The answer is C

Insert y=X-2 into the equation y=-X+2

You will get the point (2,0)

Insert y=2X-1 into the same equation

you will get the point (1,1).

Without solving for the last point

you will realize that your answer is C

Note: This approach is appropriate for solving objective questions

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Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC
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Answer:

<em>AB = 5√2</em>

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Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

For AB A(-3,6),B(2,1),

AB = √(2+3)²+(1-6)²

AB = √(5)²+(-5)²

AB = √25+25

AB =  √50

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AC = √(9+3)²+(5-6)²

AC = √(12)²+(-1)²

AC = √144+1

<em>AC = √145</em>

For BC B(2,1), and C(9,5)

BC = √(9-2)²+(5-1)²

BC = √(7)²+(4)²

BC = √49+16

<em>BC = √65</em>

<em></em>

<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>

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