Question

Help me with math and explain the answer to me as well

Answer 1

The length of line segment BC is;

`BC=\sqrt[]{65}`

Step-by-step explanation:

Given the graph in the attached image

The coordinates of B and C is;

`\begin{gathered} B(3,5) \\ C(2,-3) \end{gathered}`

Recall that the formula to calculate the distance between two points is;

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

substituting the coordinates, we have;

`\begin{gathered} BC=\sqrt[]{(2-3)^2+(-3-5)^2} \\ BC=\sqrt[]{(-1)^2+(-8)^2} \\ BC=\sqrt[]{1+64} \\ BC=\sqrt[]{65} \end{gathered}`

Therefore, the length of line segment BC is;

`BC=\sqrt[]{65}`