Answer:
the x distance is 9 - -4 = 9+4 = 13
7/10 of that is 91/10 = 9.1
-4 + 9.1 = 5.1
the y-distance is 6 - -5 = 6+5 = 11
7/10 of that is 77/10 = 7.7
-5 + 7.7 = 2.7
so ( 5.1, 2.7) is hte point that is 7/10 of the distance. Please label this point M.
the distance of AB is sqrt( 11^2 + 13^2) = sqrt(121+169) = sqrt(290) , or approximately 17.0294
the distance from A to M is sqrt( 9.1^2 + 7.7^2) , or approximately 11.92
the quotient of these distances is 0.7 approximately
Explanation:
Find the coordinates of the point seven tenths of the way from A to B.
the coordinates of b is (-4,-5)
the coordinates of a is (9,6)