Her house is at (−4, 10).
her school is at (−4, 3).
the community center is at (2, 3).
the grocery store is at (−4, −6).

part a: use absolute values to calculate the distance in units from nina's house to her school. show your work. (4 points)

part b: is the total distance from nina's house to the school to the grocery store greater than the total distance from nina's house to the school to the community center? justify your answer. (6 points)

9514 1404 393

  A. 7 units

  B. yes, 3 units farther

Step-by-step explanation:

Part A: The distance is the difference of y-coordinates:

  d = |3 -10| = |-7| = 7

The distance from Nina's house to her school is 7 units.

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Part B:

For both trips, the distance from Nina's house to the school is the same, so the question can be answered by looking at the distances from school to the community center, and from school to the grocery store.

The distance from the school to the community center is the difference of x-coordinates: 2 -(-4) = 6.

The distance from the school to the grocery store is the difference of y-coordinates: 3 -(-6) = 9. This is more than the distance to the community center.

The total distance from Nina's house to the grocery is greater than that from her house to the community center.

Here’s a graph

Step-by-step explanation:

7 units

Step-by-step explanation:

Given that :

house is at (−4, 10). Her school is at (−4, 3)

House location = (-4, 10)

School location = (-4, 3)

Distance from house to school (d) :

Distance between two points :

x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3

d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]

d = sqrt[(-4 + 4)^2 + (-7)^2]

d = sqrt(0 + (-7)^2)

d = sqrt(49)

d = 7 units

7 units

Step-by-step explanation:

Given that :

house is at (−4, 10). Her school is at (−4, 3)

House location = (-4, 10)

School location = (-4, 3)

Distance from house to school (d) :

Distance between two points :

x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3

d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]

d = sqrt[(-4 + 4)^2 + (-7)^2]

d = sqrt(0 + (-7)^2)

d = sqrt(49)

d = 7 units

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

The answer is in the image 

The solution is given in the image below