Answer:
Step-by-step expla
To find the volume of a cone, use the equation: V = 1/3Bh.
In this equation, V is the volume, B is the base, and h is the height.
We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.
V = 1/3(12)(18)
V = 4(18)
V = 72.0
Therefore, the volume of this glass is 72.0 cubic inches.
Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

Answer:
A. (1.55, 2)
Step-by-step explanation:
The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points
Given;
x₁= -0.4 ,y₁=2.5, x₂=3.5, y₂=1.5 then applying the formula for midpoint

Answer:
3x^2 + 12x + 4y^2 - 8y = 32
Step-by-step explanation:
3(x^2+4x)+4(y^2-2y)=32
At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:
or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32
or, 3x^2 + 12x + 4y^2 - 8y = 32
Since the equation does not have anything to add or deduct, therefore, it is the answer.