Given :
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B.
To Find :
The coordinates of B.
Solution :
Let, coordinates of point B is ( h , k ) .
It is given that M is the mid - point of the straight line joining points A and B.
Coordinates of M is given by :
Therefore, coordinates of point B is ( 10 , 7 ).
-1/2=3/2k+3/2
Rewrite the equation to have k on left side
3/2k+3/2=-1/2
Simplify 3/2k
3k/2+3/2=12
Move all terms not containing k to right side
3k/2=1/2-3/2
3k/2=-2
Multiply both sifmdes by 2
2(3k/2)=-2(2)
3k=-4
Divide both sides by 3 to get k alone
3k/3=-4/3
K= -4/3
1. Yes
2. No
3. 46.6 (recurring)
5. 22'
Sorry this is all I can do. Hope this helps :)
Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct
In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if <u>y is greater than the result.</u>
<u />
For the coordinate point (1, 10)
y > 3(1) +10
y > 13
Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.
For the coordinate point (4, 20)
y > 3(4) +10
y > 22
Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.
For the coordinate point (-1, 3)
y > 3(-1) +10
y > -7
Since 3 is greater than -3, hence (-1, 3) lie in the solution set.
Learn more on inequality here: brainly.com/question/24372553
