PLEASE I NEED HELP ASAP. WILL GIVE BRAINLIEST.

A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0), and the park at (16, 11). Using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?

components: (16,11), distance: 19.42 yards O components: (16,11), distance: 194 16 yards O components: (120,110), distance: 19.42 yards O components: (160,10), distance: 194.16 yards

The vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards. So, option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2

In order to find the length of a point to another point that has different y and x points, we will use the pythagorean theorem

(a^2 + b^2 = c^2)

Here, 16 and 11 are the distances from her house,

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

Now, we have to convert this to yards;

19.416 x 10 = 194.16 yards

Hence, the vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards.

So, option A is correct.

Learn more about Pythagoras theorem;

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