Where is Nicholas's home located? (0,0)
Nicholas's school is located at: (3,2).
What is located at (-2,-2)? Post Office.
What is the distance between Nicholas's school and the post office?
If Nicholas is located at (-3,2), what is the distance to get to the grocery store? Grocery Store: (1,-1).
these are all just applications of the distance formula.
the last one is
√((-3-1)^2 + (2+1)^2) = √(16+9) = 5
I got u
D
D
B
A
D
To find the distance between two points on a coordinate plane, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between Nicholas's school (3,2) and the post office (-2,-2):
Distance = √((-2 - 3)^2 + (-2 - 2)^2)
= √((-5)^2 + (-4)^2)
= √(25 + 16)
= √41
≈ 6.4
So, the distance between the school and the post office is approximately 6.4 units.
Now, let's find the distance between Nicholas's location (-3,2) and the grocery store (1,-1):
Distance = √((1 - (-3))^2 + (-1 - 2)^2)
= √((1 + 3)^2 + (-3)^2)
= √(4^2 + 9)
= √(16 + 9)
= √25
= 5
So, the distance between Nicholas's location and the grocery store is 5 units.