3. Functions

Write the standard form of the equation of the circle with the given center and radius. Center (-1, 4), r = 2

Write the standard form of the equation of the circle with the given center and radius. Center (3, 2), r = 5

Write the standard form of the equation of the circle with the given center and radius. Center (0, 0), r = 7

In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)

Find the midpoint of each line segment with the given endpoints. (7√3, −6) and (3√3, −2)

Find the midpoint of each line segment with the given endpoints. (8, 3√5) and (−6, 7√5)

Find the midpoint of each line segment with the given endpoints. (-3, -4) and (6, −8)

A line segment through the center of each circle intersects the circle at the points shown. a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation.

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-1/4, -1/7) and (3/4, 6/7)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (7/3, 1/5) and (1/3, 6/5)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (3√3, √5) and (−√3, 4√5)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, -√2) and (√7,0)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (0, −√3) and (√5, 0)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (3.5, 8.2) and (-0.5, 6.2)

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-2, -6) and (3, −4)