Question

1. find bc if b(8, -7) and c(-4, -2).

Explanation:

Step1: Recall the distance formula

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 8\), \(y_1=-7\), \(x_2=-4\), \(y_2 = - 2\).

Step2: Substitute the values into the formula

First, calculate the differences in \(x\) and \(y\) coordinates:
\(x_2 - x_1=-4 - 8=-12\)
\(y_2 - y_1=-2-(-7)=-2 + 7 = 5\)
Then, square these differences:
\((x_2 - x_1)^2=(-12)^2 = 144\)
\((y_2 - y_1)^2=5^2=25\)
Add these squared values:
\(144 + 25=169\)
Take the square root of the sum:
\(d=\sqrt{169}=13\)

Answer:

13