Answer:
The equation for h in terms of V,r and π is 3V/πr².
Step-by-step explanation:
Given:
The formula for the volume of a cone is .
Now, for solving the equation we put the formula of cone,
.
Multiplying both sides with 3 we get :
Then, dividing both sides by π we get:
.
And, dividing both sides by r² we get:
.
Therefore, the equation for h in terms of V,r and π is 3V/πr².
Answer:
g(x) = -√(-x +9)
Step-by-step explanation:
The relevant transformations are ...
Applying the transformations in the specified order, we have ...
f(x) = √x
f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left
-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis
-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis
The shifted, reflected function is ...
g(x) = -√(-x +9)
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<em>Additional comment</em>
The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.
