Using one coordinate plane, graph the functions y=−4x+1 and y=2x−3, and find the coordinates of the point of intersection. now find the coordinates of the point of intersection without using the graphs. compare your two results.

f(x) = -4x + 1

g(x) = 2x - 3

Set each other equal and solve for x.

-4x + 1 = 2x - 3

-6x = -4

x = 2/3

substitute x into either f or g and solve for y

-4(2/3) + 1

y = -1.667...

Intersect at

(.667,-1.667)

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'.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8