The coordinates of M and N are ( -2, 4) and (6 ,b). Find the value of b if MN=17 units.
Answers
Answered by
6
Answer:
b= 19 OR b= -11
Step-by-step explanation:
The coordinates are M( -2, 4) and N(6 ,b) and MN=17
∴x1= -2, x2=6 and y1=4, y2=b
∴ d(MN) = √(x2-x1)²+(y2-y1)²
17= √(6+2)²+(b-4)²
289=64+(b-4)²
(b-4)² = 289-64 = 225
∴ b-4 = ±15
∴ b = ±15+4
or b=+15+4 OR b=-15+4
b= 19 OR b= -11
Similar questions