Your school is 20 blocks east and 12 blocks south of your house. the mall is 10 blocks north and 7 blocks west of your house. you plan on going to the mall right after school. find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. one block is 0.1 mile. round your answer to the nearest tenth of a mile. east=x, west=-x, north=y, south=-y

3.623 miles

Step-by-step explanation:

Given

School is 20 blocks east and 12 blocks south

and mall is 10 blocks north and 7 block west.

There is a road directly connecting the school and the mall.

So distance between school and the mall is

=36.23 blocks

And 1 block is 0.1 mile so 36.23 blocks is 3.623 miles

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!