Tables for a banquet should be placed about 5 feet apart to allow room for people to walk between them. If one circular table has a radius of 4 feet and a center at C (-4, 6), find the center and equation of the table immediately to the left. (Assume that each table is uniform with a radius of 4 feet and that 1 foot = 1 unit on a coordinate plane.)

Question

Cohen

Mathematics

19 April, 19:55

Tables for a banquet should be placed about 5 feet apart to allow room for people to walk between them. If one circular table has a radius of 4 feet and a center at C (-4, 6), find the center and equation of the table immediately to the left. (Assume that each table is uniform with a radius of 4 feet and that 1 foot = 1 unit on a coordinate plane.)

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Solomon Crosby · Answer 1

1st round table has a center located ate (-4,6)

radius is 4 feet and each unit is equal to one foot.

edge of the round table will land at (-8,6)

an additional 5 feet must be added to give space for the guests to walk between tables.

edge of the 2nd table to the left of the 1st table, (-13,6)

to get the center of the 2nd round table, add 4 feet: distance (-17,6)

The center of the table found immediately to the left of the 1st table is (-17,6)