Question

find the distance between the pair of points. if necessary, express answers in simplified radical form and then round to two decimal places.
(0,0) and (-6,8)

the distance between the points is \\(\square\\) units.
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Recall 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, \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(-6,8)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 0,y_1 = 0,x_2=-6,y_2 = 8\) into the formula:

$$
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$$

Answer:

\(10\)