Question

calculate the distance between the points q=(1,0) and e=(-2,6) in the coordinate plane. give an exact answer (not a decimal approximation).

Explanation:

Step1: Identify the coordinates

Given points \( Q=(1,0) \) and \( E = (-2,6) \). 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, \(x_1 = 1,y_1=0,x_2=-2,y_2 = 6\).

Step2: Substitute into the distance formula

Substitute the values into the formula:

$$
LATEXBLOCK0
$$

Answer:

\(3\sqrt{5}\)