When graphed, the three lines y.** 2. y. 2x-1, and y--2 intersect in such a way that they form a triangle What are the coordinates of the three vertices of this triangle?
-5
7
2
-1
2 3 4 5 6
-1
2
4
5
6
-7
OA (2.0), (0, 2), and (-1,-3)
OB. (0, 2), (2.0), and (1,-1)
OC (1, 1), (2.0), and (-1,-3)
.D. (1,1),(0, 2), and (-1,-3)
Of (2.0), (1, -1), and (-1,-3)

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

Step-by-step explanation:

Given

---- (1)

--- (2)

---- (3)

Required

The vertices of the triangle

To do this, we simply equate the equations.

Equate (1) and (2)

Collect like terms

Divide by -3

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

So, the coordinate is: (1,1)

Equate (1) and (3)

Collect like terms

Divide by -2

Substitute in (1) to get the y coordinate

So, the coordinate is (2,0)

Equate (2) and (3)

Collect like terms

Substitute in (2) to get the y coordinates

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

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0