Answer: CM:ME (6.71:4.47) = 1.5 : 1
Step-by-step explanation:
the coordinates of the endpoints of CE are C(-3, -7) and E(7, -2). point M (3, -4) is on CE. What is the ratio of CM:ME? This is a distance formula problem, where you are comparing the two ratio's of CM to ME.
It is well worth your time to memorize the distance formula: d = sqrt ((x - x1)2 + (y - y1)2) using two points: (x,y), (x1,y1). You will use this many, many times in your math classes.
CM: sqrt ((-3 - 3)2 + (-7 - -4)2) = sqrt ((6)2 + (-3)2) = sqrt (45) ≅ 6.71
ME: sqrt ((3 - 7)2 + (-4 - -2)2) = sqrt ((-4)2 + (-2)2) = sqrt (20) ≅ 4.47
CM:ME (6.71:4.47) = 1.5 : 1
