The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is

We equate that to the squared distance of (x,y) to the focus (-2,0):



We could call that done. A more standard form might be
Answer:
13 + 14 + 15
Step-by-step explanation:
n + (n + 1) + (n +2) =42
n + n + n + 1 + 2 = 42
3n + 3 = 42
(subtract 3 from both sides)
3n = 39
(divide both sides by 3)
n = 13
(solve)
n + (n + 1) + (n +2) =42
13 + (13 + 1) + (13 + 2) = 42
13 + (14) + (15) = 42
13, 14, 15
(Hope this helps, have a nice day!)
Answer:
3 1/4 or 3.25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6