Your house is located at (-4, 3), which is 4 blocks and 3 blocks north of the center of town. To get from your house to the mall, you walk 7 blocks east and 4 blocks south. a. What ordered pair corresponds to the location of the mall?
b. Is your house or the mall closer to the center of town? Explain.

(NOT A MULTIPLE CHOICE)

9514 1404 393

  a) (3, -1)

  b) the mall

Step-by-step explanation:

1) We assume the missing word is "west". The walk to the mall represents a change of (7, -4) from your coordinates of (-4, 3). The mall's coordinates are ...

  (-4, 3) +(7, -4) = (-4+7, 3-4) = (3, -1) . . . . coordinates of the mall

__

2) One of the orthogonal distances (3) is the same for each location. The location with the least number of blocks in the other direction will be closer to the center of town. (3, -1) is closer to the town center than (-4, 3).

The mall is closer to the center of town.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

x = 3 ± √(5+y)