Step-by-step explanation:
Cubes have square faces, so the area of the base is b².
The volume of the cube is b³.
The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.
The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.
You have to consider the “ends” of the x-axis, the far right (for infinitely large values of x) and left (for infinitely small values of x) of the graph.
From the diagram above you can see that:
- When
then
(notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1); - When
then
(notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).
Answer: correct choice is D.
I think it’s D. Each fraction strip represents a burger and they are cut into fourths to represent the 1/4 pound weight for each burger.
Answer:
A and B are functions
Step-by-step explanation:
for A, none of the x's repeat which makes it a FUNCTION
for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)
for C, 10 repeats for the x so it is NOT A FUNCTION
Answer:
2i and -2i
Step-by-step explanation:
I'll change u to x to be easier to understand.
x^2 = -4
sqrt(x^2) = sqrt(-4)
sqrt(-4) = 2i, or -2i