From the diagram, Vertex =(2,3)
So, (h,k)=(2,3)
So, h=2 and k=3
The equation of parabola is
p is the distance of directrix or focus from vertex.
As directrix is
y=8=k-p=3-p
So, 8=3-p
Let, us subtract 3 from both sides, we get
8-3=3-3-p
5=-p
or p=-5
So, h=2,k=3 and p=-5
So, the equation of parabola is
=4(-5)(y-3)
Equation of graph is
(x-2)^2=-20(y-3)
Factor by grouping, -x2y2+9y2= y2(-x2+9)
x4-9x2=- x2(-x2+9)
= (y2-x2)(-x2+9)
Answer:
Step-by-step explanation:
6(x+1) = -2(3x+9)
6x+6 = -6x-18
6x+6x+6-6 = -6x+6x-18-6
12x=-24
x= -2
Answer:
Below.
Step-by-step explanation:
Part 1. B. is soluble in water because as the temperature rises the amount of undissolved substance decreases.
Part 2. A is insoluble because the undissolved amount stays the same as the temperature increases.
Answer:
-3 and -8
Step-by-step explanation:
Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.
If a+b=-11, a=-11-b.
ab=-24
(-11-b)b=-24
b²+11b+24=0
(b+3)(b+8)=0
b=-3, b=-8
a=-11-b=-11+3=-8
a=-11-b=-11+8=-3
So the numbers are -3 and -8