Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
what are the solutions to the system of equations?
select each answer
(2, 3)
(−2, 5)
(2, −3)
(2, 5)
(−2, −3)

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

1.

If we compare this equation with the slope intercept form of a line which is given as

we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

Let us find another point by putting x = 2 and solving it for y

Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; ; (0,-3)

ii)x=-1 ; ; (-1,0)

iii) x=2 ; ;(2,-3)

iii) x=1 ;  ;(1,-4)

iii) x=-2 ;  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh