Atriangle is graphed in the coordinate plane. the vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). what is the perimeter of the triangle?

The perimeter of the triangle is

Step-by-step explanation:

Let

we know that

The perimeter of triangle is equal to

the formula to calculate the distance between two points is equal to

step 1

Find the distance AB

substitute in the formula

step 2

Find the distance BC

substitute in the formula

step 3

Find the distance AC

substitute in the formula

step 4

Find the perimeter

substitute the values

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

a

step-by-step explanation:

a