Math, asked by ameesanju12, 5 months ago

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

Answered by amitnrw
3

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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Answered by TheDiamondBoyy
23

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.

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