what do you do when theres fractions in a question using the Distance Formula? My question: (-9 1/4, -7 1/2), (-4, 5)
(-9 1/4, -7 1/2), (-4, 5)
First, let's simplify the fractions by getting one common denominator = 4
-[9 + 1/4] = -[ 37/4]
-[7 + 1/2] = -[ 15/2] = -[30/4]
5 = 20/4
-4 = -16/4
So we would have
( -37/4, -30/4) , ( -16/4, 20/4)
sqrt [ ( -37/4 - - 16 /4)^2 + ( -30/4 - 20/4)^2 ] =
sqrt [ ( -21/4)^2 + (-50/4)^2 ] =
sqrt [ 441/16 + 2500/16 ] =
sqrt [ 2941/16] we can split this up as :
sqrt [2941] / sqrt [16] =
sqrt [2941] / 4 =
about 13.56 units