I need help on this question

  C)  (x, y) ⇒ (x -3, y -4), (5, -1)

Step-by-step explanation:

You know that the x-coordinate measures how far to the right of the y-axis a point is. If the point is moved 3 units left, it will be 3 fewer units to the right of the y-axis. That is, its x-coordinate will have changed from x to x-3.

Similarly, moving a point down 4 units reduces its y-coordinate by 4 units, so that y becomes y-4.

Together, these transformations are ...

  (x, y) ⇒ (x -3, y -4) . . . . . . matches choice C

e) none of the above because the measure of angle cba is 101°

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.