Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
Answer:
4^-8
Step-by-step explanation:
When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.
So a triangle angles must add up to 180. You would subtract 180 by the two known angle which are 90 and 30. Then if you subtract them you would get 60. The final answer is 60
Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation

Putting V = 325 and l = 13

Hence,
The constant of proportionality for the group of boxes is: 25