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
Answer:
infinite solutions
Step-by-step explanation:
Given
- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides
- 6n + 48 = 48 - 20n + 14n, that is
- 6n + 48 = 48 - 6n ( add 6n to both sides )
48 = 48 ← True
This indicates that the equation is true for any value of n
Answer:
-3
Step-by-step explanation:
(-6)/(+2)
-6/+2
-3
We need the following to be true
a+2b = -a
a+4 = 2a - 3b
Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a
Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1
Just take the negative of that and you get the value of b.
b = -1
Your solution is a=1 and b = -1.
Have an awesome day! :)
Answer:
B.
Step-by-step explanation:
Since 21 is divided by 3 you might think that it is equivalent but remeber you have to divide by both sides, so if you divide 21 by 7 it works but 28 by seven does not! Hope this helps!
