Question

1. find the distance between gh when g(2, - 9) and h(-1,4). round to the nearest tenth type a response

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 2,y_1=-9,x_2=-1,y_2 = 4\).

Step2: Substitute the values into the formula

\(d=\sqrt{(-1 - 2)^2+(4-(-9))^2}=\sqrt{(-3)^2+(4 + 9)^2}=\sqrt{9+169}\).

Step3: Calculate the value inside the square - root

\(\sqrt{9+169}=\sqrt{178}\).

Step4: Approximate the value

\(\sqrt{178}\approx13.3\) (rounded to the nearest tenth).

Answer:

\(13.3\)