The length of the segment between the points (2a, a-4) and (4, -1) is 2*sqrt10 units. What is the product of all possible values for a?
+12530 The length of the segment between the points (2a, a-4) and (4, -1) is 2*sqrt10 units. What is the product of all possible values for a?
+37157 Use the distance formula d^2 = (x1-x2)^2 + (y1-y2)^2
d = sqrt ((x1-x2)^2 + (y1-y2)^2))
2 sqrt10 = sqrt ((2a-4)^2 + (a-4 - - 1)^2
= sqrt (4 a^2-16a+16+ a^2-6a+9)
sqrt40 = sqrt(5 a^2 -22a +25)
40 = 5a^2-22a+25
0 = 5a^2-22a-15 from quadratic formula a = 5 or -0.6 You can multiply them together....
