Answer:
Step-by-step explanation:
When comparing to standard form of a parabola:
Vertex form of a parabola is: , which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: .
Substitute in -8 for b and 2 for a.
Simplify this fraction.
The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.
Simplify.
We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).
6x+8=-3x-10
9x=-18
x=-2
-3(-2)-10=-4
So x=-2 and y=-4
Answer:
270°
Step-by-step explanation:
In a circle graph, the total angle would be 360°. You already know how much of the circle graph is apple juice, so you can find the angle of apple juice out of the entire circle graph.
Angle of apple juice section = × 360°
= 270°
the SAS similarity theorem
4 consecutive odd integers....x , x + 2, x + 4, x + 6
product of 2 smaller numbers is 64 less then the product of the 2 larger numbers....
x(x + 2) = (x + 4)(x + 6) - 64
x^2 + 2x = (x^2 + 10x + 24 - 64)
x^2 + 2x = x^2 + 10x - 40
2x = 10x - 40
2x - 10x = -40
-8x = -40
x = -40/-8
x = 5
x + 2 = 5 + 2 = 7
x + 4 = 5 + 4 = 9
x + 6 = 5 + 6 = 11
ur numbers are : 5,7,9,and 11