Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 =
(x + 5)² ← add 2 to both sides
y =
(x + 5)² + 2
or
f(x) =
(x + 5)² + 2 → D
We know that a parallelogram has two pairs of congruent sides. If we know that the diagonals are perpendicular and the perimeter is 48 feet, we can solve is using the area of parraleogram formula: with that we get the answer of 5, and 9
Answer: 1 is not a perfect square. 3 is the only prime number one less than a square.