a line segment is of length 10 cm if the coordinates of its one end are (2,-3) and that of the other end are (10,x) then x is
Answers
Answered by
0
Answer:
x = 5
x = -11
Step-by-step explanation:
10 = √(10-2)² + ( x-(-3))²
10 = √(8)² + x² + 6x + 9
10 = √ x² + 6x +73
on squaring both sides
100 = x² + 6x + 73
0 = x² + 6x -55
0 = x² + 11x -5x + 55
0 = x(x +11) -5(x+11)
0 = (x-5) (x+11)
therefore,
x = 5
x = -11
Answered by
0
Answer:
x= -9, 3
Step-by-step explanation:
√((x2-x1)²+(y2-y1)²)=10
√((10-2)²+(x-(-3))²)=10
√(8²+(x+3)²)=10
√(64+x²+9+6x)=10
on squaring both sides
x²+6x+73=100
x²+6x-27=0
x²+9x-3x-27=0
x(x+9)-3(x+9)=0
(x-3)(x+9)=0
Therefore either x-3 is 0 or x+9 is 0
thus, x=3, -9
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