Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
Answer:
The volume of the water in the fishbowl is equal to
or 
Step-by-step explanation:
we know that
The volume of the sphere (a fishbowl) is equal to

In this problem we have
----> the radius is half the diameter
substitute

convert to mixed number


Answer:
I think answer is 3
Step-by-step explanation:
BD = DA
BE = EC
Now, BD/BE = DA/EC
or, x + 5/2x = 4/3
or, 3x + 15 = 8x
or, 15 = 8x - 3x
or, 15 = 5x
or, 15/5 = x
or, 3 = x
Therefore x = 3 <u>Ans</u>
Hey there!!
How do we find the midpoint?
We take the average , the average is =
Sum of the observations / total number of observations
The end points are given as 4 and 11
Sum = 11 + 4
Number of observations = 2
= 15 / 2
= 7.5 is the midpoint