It is recommended that you work this out on graph paper to help answer the questions. Sean plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
His house is at (-4,5)
His school is at (-4,3).
The community center is at (6.3)
The grocery store is at (-4,-9).
Part A: Use absolute values to calculate the distance in units from Sean's house to his school. Show your work. (4 points)
Part B: Is the total distance from Sean's house to the school to the grocery store greater than the total distance from Sean's house to the school to the community
center? Justify your answer. (6 points)

a. The distance from house to school is 2 units

b. The total distance from house to school to grocery store is not greater than the total distance from house to school to community center

Step-by-step explanation:

Given

Solving (a): Distance from house to school

Represent the coordinates as:

--- House

--- School

The distance (D) is calculated as:

This gives:

The distance from house to school is 2 units

Solving (b): Is house to school to grocery store greater than house to community?

The distance from house to school is calculated as 2 in (a) above.

Next, we calculate the distance from school to grocery store

Represent the coordinates as:

--- Grocery

--- School

The distance (D) is calculated as:

This gives:

So, distance from house to school to grocery store is:

Next, we calculate distance from school to comminunity

Represent the coordinates as:

--- Community

--- School

The distance (D) is calculated as:

This gives:

So, distance from house to school to commuity is:

Distance from house to school to grocery store = 8

Distance from house to school to community center = 12

By comparison, the total distance from house to school to grocery store is not greater than the total distance from house to school to community center

17 1/3

step-by-step explanation:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.