Question

Use the coordinates to answer the question

Ice skating (2, -4)
Skiing (-8, -4)
Sledding (2, 12)

Shahriyar is at a winter park with his family. They go sledding first, then ice skating, then skiing. What is the total distance traveled between these location

Answer 1

Can you put that in miles please

Answer 2

Can you put that in miles bot please

Answer 3

To calculate the total distance traveled by Shahriyar and his family during their winter activities, we can find the distances between the locations in the order they visited: sledding, ice skating, and then skiing.

1. **Distance from Sledding (2, 12) to Ice Skating (2, -4)**:

Using the distance formula, \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Here:
- \( (x_1, y_1) = (2, 12) \)
- \( (x_2, y_2) = (2, -4) \)

Calculating the distance:
\[
d_1 = \sqrt{(2 - 2)^2 + (-4 - 12)^2} = \sqrt{0 + (-16)^2} = \sqrt{256} = 16
\]

2. **Distance from Ice Skating (2, -4) to Skiing (-8, -4)**:

Using the distance formula again:
- \( (x_1, y_1) = (2, -4) \)
- \( (x_2, y_2) = (-8, -4) \)

Calculating the distance:
\[
d_2 = \sqrt{(-8 - 2)^2 + (-4 - (-4))^2} = \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10
\]

3. **Total Distance Traveled**:

By adding both distances:
\[
\text{Total Distance} = d_1 + d_2 = 16 + 10 = 26
\]

Thus, the total distance traveled between these locations is **26 units**.