The slope of the line joining the points A(x,
3) and B(4, y); where x is the arithmetic
mean of 9 and 7 and y is integral root of the
equation 2y2 - 7y + 6 = 0 is written as m;
then the value of 9m is
Answers
Given : The slope of line joining the points A(x,3) and B(4, y); where x is the arithmetic mean of 9 and 7 and y is integral root of the equation 2y² - 7y + 6 = 0 is written as m
To Find : 9m
Solution:
x is the arithmetic mean of 9 and 7
=> x = ( 9 + 7)/2 = 8
A = ( 8 , 3)
2y² - 7y + 6 = 0
=> 2y² - 4y -3y + 6 = 0
=> 2y(y - 2) - 3(y - 2) =0
=> ( 2y - 3)(y -2 ) = 0
=> y = 3/2 , y = 2
integral root y = 2
B = ( 4 , 2)
A = ( 8 , 3) B = ( 4 , 2)
Slope m = ( 2 - 3)/ ( 4 - 8) = 1/4
9m = 9/4
value of 9m is 9/4
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Given:-
The slope of line joining the points A(x,3) and B(4, y); where x is the arithmetic mean of 9 and 7 and y is integral root of the equation 2y² - 7y + 6 = 0 is written as m
_____________________________
To Find:-
- The value of 9m.
_____________________________
step-by-step solution:-
x is the arithmetic mean of 9 and 7
→ x = ( 9 + 7)/2 = 8
A = ( 8 , 3)
2y² - 7y + 6 = 0
→ 2y² - 4y -3y + 6 = 0
→ 2y(y - 2) - 3(y - 2) =0
→ ( 2y - 3)(y -2 ) = 0
→ y = 3/2 , y = 2
integral root y = 2
B = ( 4 , 2)
A = ( 8 , 3) B = ( 4 , 2)
Slope m = ( 2 - 3)/ ( 4 - 8) = 1/4
9m = 9/4
Hence, value of 9m is 9/4.