Answer:
3/4
Step-by-step explanation:
Constant of Proportionality is just a fancy way of saying slope (for a line passing through (0, 0), at least).
You can find it by looking at y/x, which will be equal at any point on the line (which is why it is a "constant").
So, for multiple points on the line:
1.5 / 2 = 3/4
3 / 4 = 3/4
4.5 / 6 = 3/4
Answer:
(-2, -4)
Step-by-step explanation:
You can complete the square of the equation to get
y+(4/2)^2 = x^2+4x+(4/2)^2
y+4 = x^2 + 4x + 4
y+4 = (x+2)^2
y = (x+2)^2 - 4
This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)
ANSWER
A. 22 in
EXPLANATION
The volume of a cone is calculated using the formula:
It was given that: the volume is 2,279.64 in³
The height of the cylinder is also given as: h=18 in.
We substitute, the given values into the formula to get:
We take positive square root to get;
Therefore the diameter is 2(11) which is equal to 22 inches.
6% of 124...." of " means multiply
.06(124) = 7.44
Applying pythagorean theorem:-
