The equation for a parabola can also be written in the "vertex form":
x = a (y - h) ^ 2 + k
In this equation, the vertex of the parabola is the point (h, k).
We have then:
x = y2 + 6y + 1
We look for the vertice:
0 = 2y + 6
y = -6 / 2
y = -3
Substituting:
x = (-3) ^ 2 + 6 (-3) +1
x = -8
Substituting the vertice point:
x = (y + 3) ^ 2 - 8
Answer:
x = (y + 3) ^ 2 - 8
option C
Answer:
Step-by-step explanation:
This is <u>true.</u> Whenever you divide or multiply an inequality by a negative number, you must flip the inequality sign.
Here is an example:
We have to divide both sides of the inequality by -9. Since it is a negative number, flip the inequality sign.
So, it is <em>true</em> that you must flip the inequality sign when multiplying or dividing by a negative number.
Expanded form: 6,000,000 + 700,000 + 30,000 + 5,000 + 800 + 30 + 4
Word form: Six million seven hundred thirty five thousand eight hundred thirty four
Answer:
C) The solution for the given system of equations are A(0,-5) and B(-4,3)
Step-by-step explanation:
The given system of equation are :
from equation 2, we get y = -5 - 2x .
Put the above value of y in the equation (1).
We get:
By ALGEBRAIC IDENTITY:
or,
or,
⇒ x = 0 or, x = -20/5 = -4
So, the possible values for x are: x = 0 or x = -4
If x = 0, y = -5-2x = -5-2(0) = -5
and if x = -4, y = -5 -2(-4) = -5 + 8 = 3
Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)
Multiply by 6 on each side