Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
Answer: Opens up, has a minimum
Step-by-step explanation:
If the x^2 term is positive the parabola opens up, if it is negative it opens down. Minimum always goes with up, maximum with down
Answer:
z = 10
Step-by-step explanation:
the steps have been attached above
Answer:
20a³
Step-by-step explanation:
Simply multiply:
-5(-4) = 20
-a(-a)(a) = a²(a) = a³
20a³