Final answer:
To find the distance between two points in the Cartesian plane, use the distance formula. To find the polar coordinates of a point, use the formulas for r and θ.
Step-by-step explanation:
To find the distance between two points in the Cartesian plane, such as B(3,0) and A(-5,-8), we can use the distance formula. The distance formula is given by: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Plug in the values for B(3,0) and A(-5,-8) to get: d = sqrt((3 - (-5))^2 + (0 - (-8))^2).
Simplify the expression and calculate the square root to find the distance between the points.
To find the polar coordinates of a point, we can use the formulas: r = sqrt(x^2 + y^2) and θ = arctan(y/x).
Plug in the values for B(3,0) and A(-5,-8) to get their respective polar coordinates.