Answer:
B
Step-by-step explanation:
A:
Completing the square: (x+ 7/2)^2 = -2 + 49/4 = 41/4, in the next step you'll be square rooting a positive number so it'll have real roots.
B:
Completing the square: (x+3/2)^2 = -9 + 9/4 = -27/4, you'll next be square rooting a negative number, so it'll have complex roots
C:
Completing the square: (x-5/2)^2 = -1 + 25/4 = 21/4, next you'll square root a positive number, so real roots
D:
Completing the square: (x+7/2)^2 = 2 + 49/4 = 57/4, square root a positive number, so real roots.
12x - 5y = 2
12x - 12x - 5y = -12x + 2
-5y = -12x + 2
-5 -5
y = 2.4x - 0.4
y - 3 = 2.4(x - 3)
y - 3 = 2.4(x) - 2.4(3)
y - 3 = 2.4x - 7.2
+ 3 + 3
y = 2.4x - 4.2
Inscribed Quadrilateral Theorem says that quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary.
That means
∠C+∠A=180⁰
∠B+∠D=180⁰
So, ∠C+∠A=180⁰ ---->84 + x = 180 ------> x=180-84=96⁰.
Answer: x=96⁰.
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
