Question

12. If ( 2, 4 ) is the mid point of the join of ( 6 ,a ) and ( b , 5 ) , then a and b are ---- and ----.

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)P=(-6+(-2)/2,5+3/2)

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)P=(-6+(-2)/2,5+3/2)= (-8/2,8/2)

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)P=(-6+(-2)/2,5+3/2)= (-8/2,8/2)= (-4,4)

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)P=(-6+(-2)/2,5+3/2)= (-8/2,8/2)= (-4,4)P= (a/2,4)

Step-by-step explanation:P(a/2,4) is the mid point of the line segment joining points A (-6,5) and B(-2,3)P=(-6+(-2)/2,5+3/2)= (-8/2,8/2)= (-4,4)P= (a/2,4)Therefore, a/2= -4

a = -8

this might help you....my friend!

Answer 2

QUESTION:

If ( 2, 4 ) is the mid point of the join of ( 6 ,a ) and ( b , 5 ) , then a and b are ---- and ----.

ANSWER:

GIVEN:

$(2,4)(x,y)$

is the mid point of the line segment.

Let

$(6,a)(x1,y1) \\ (b,5)(x2,y2)$

WE use the formula mid point section formula :

$x = \frac{x2 + x1}{2}$

$y = \frac{y2 + y1}{2}$

So.

using the formula :

$2 = \frac{(b + 6)}{2} \\ 4 = b + 6 \\ 4 - 6 = b \\ - 2 = b$

b= -2

$4 = \frac{(a + 5)}{2} \\ 8 = a + 5 \\ 3 = a$

a = 3.

FINAL ANSWER :

$\huge\red{b = - 2}$

$\huge\red{a = 3}$

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