Question

Vega makes a graph that represents a map of a nearby park. using a coordinate system with yards as units. the gate of the is at position 4,4 and a park ben oh is at 2,3 approximately how far apart are gate and the bench

a) √3 yards
b) √5 yards
c) 3 yards
d) 5 yards

Answer 1

The distance between the gate and the bench is sqrt(5) yards.

Step-by-step explanation:

To find the distance between the gate and the bench, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the distance between the gate and the bench represents the hypotenuse, and the sides of the triangle are the horizontal and vertical distances between the two points.

The horizontal distance between the gate and the bench is 4 - 2 = 2 yards, and the vertical distance is 4 - 3 = 1 yard. Using the Pythagorean theorem, we can calculate the distance:

Distance = sqrt((2^2) + (1^2)) = sqrt(4 + 1) = sqrt(5) yards