Work each of the following. Find the equation of a circle with center at (-4, 3), passing through the point (5, 8).Write it in center-radius form.

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. P(3, -1), Q(-4, 5)

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. M(-8, 2), N(3, -7)

Find the distance between each pair of points, and give the coordinates of the midpoint of the line segment joining them. A(-6, 3), B(-6,8)

Graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. (x − 2)²+(y+3)² = 4, y = x - 3

Find the midpoint of each line segment with the given endpoints. (-7/2, 3/2) and (-5/2, -11/2)

Find the domain of each function. $f\left(x\right)=x/(x^2+4x-21)$

Find f + g, f - g, fg, and f/g. f(x) = x² + x + 1, g(x) = x² -1