if a is (3,0) and b is (11,6) and ab is 2x+4 then what does ab equal?
To find the value of ab, we first need to find the length of the line segment AB using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given point A is (3, 0) and point B is (11, 6), we can substitute the values into the formula:
Distance = √((11 - 3)^2 + (6 - 0)^2)
= √((8)^2 + (6)^2)
= √(64 + 36)
= √100
= 10
Now that we know the length of the line segment AB is 10, we can substitute it into the equation ab = 2x + 4:
10 = 2x + 4
To find the value of x, we need to isolate it on one side of the equation. Let's begin solving for x:
10 - 4 = 2x
6 = 2x
Next, we divide both sides of the equation by 2 to solve for x:
6/2 = x
3 = x
Therefore, the value of ab is equal to 10, and further calculation gives us x = 3.