Answer:
y=4, -4
Step-by-step explanation:
2^2 + (2√3)^2 = y^2
4+ (2√3)^2 = y^2
y^2=4+12 (here we square the values inside bracket which turns 2 into 4 and when you square a square root it gets rid of the root so you are left with 3 which is multiplied to 4 and you get 12.)
y^2= 16
y=4, -4 (when you square root a positive value you get one positive and one negative answer because here (-4) x (-4) = 16 (because multiplying two negatives gives us a positive.
-1. Remember rise over run
|4x+3|=9+2x if we square both sides, we can eliminate the absolute values signs...
16x^2+24x+9=81+36x+4x^2 subtract the right side from both sides
12x^2-12x-72=0 now we can factor
12(x^2-x-6)=0
12(x^2+2x-3x-6)=0
12(x(x+2)-3(x+2)=0
12(x-3)(x+2)
So:
x= -2 or 3
The perpendicular bisector is a line segment that is drawn from a vertex of an angle to the midpoint of another line segment creating a right triangle or a 90° angle in the process. Suppose AB is the base segment of the triangle, therefore the perpendicular sector is also the angle bisector of the other angle of the triangle, supposedly angle C. Angle bisector is a line segment that divides the angle into two equal parts. Imagine a line drawn from the top vertex C extended down to the midpoint of line AB. That is the perpendicular and angle bisector.
