Question

Please I need help

Coach Alvarado drew his football team's next play on the coordinate grid, where each unit is equal to one yard. He placed Tyler at (1, 3) He will be passing the ball to Isaiah at (- 7, 9) What is the distance, in yards, of the pass from Tyler to Isaiah ? Round to the nearest tenth if necessary

Answer 1

Answer: 10 yards

Work Shown

`(x_1,y_1) = (1,3) \text{ and } (x_2, y_2) = (-7,9)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((1-(-7))^2 + (3-9)^2)\\\\d = √((1+7)^2 + (3-9)^2)\\\\d = √((8)^2 + (-6)^2)\\\\d = √(64 + 36)\\\\d = √(100)\\\\d = 10\\\\`

The distance from Tyler to Isaiah is exactly 10 yards.

In the scratch work shown above, I used the distance formula.

An alternative method is to form a right triangle and use the pythagorean theorem
`a^2+b^2 = c^2` to find the hypotenuse. The hypotenuse goes from (1,3) to (-7,9). A 6-8-10 right triangle should form.