In the coordinate plane, point H has coordinates
(2,5) and is the midpoint
of the line segment GI.
The coordinate of points
G and I are (x, 12) and
(7,-2), respectively. What
is the value of x?

(-3,12)

Step-by-step explanation:

because (2,5) is the midpoint of GI and one of the known values was (7,-2). if u have a graphing calculator or use a graphing website, it shows (-3,12), and -3 being the missing x value.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.