Any number raised to the power of 0 is 1.
(z^3)^4(q^3)^0 = (z^3)^4 = z^(3 x 4) = z^12
Answer:
A ) 6
Step-by-step explanation:
The formula for Average rate of change is:
Aroc = change in y / change in x.
Aroc = y2-y1 / x2 - x1
The first point will be (x1,y1), and second will be (x2,y2).
x1 is 0, and when the x value is at 0, the y value is at -7, so the coordinate point is (0, -7).
For the second point, x = 2, and the corresponding y value is 5. So you just simpliy plug everything into the formula to find AROC:
= 5 - (-7) / 2 - 0
= 12 / 2
= 6
Answer:
Step-by-step explanation:
Linear equation:
A linear equation has the following format:
In which m is the slope and b is the y-intercept.
Finding the slope:
We have two points: (110, 73.5) and (760, 301).
The slope is given by the change in y divided by the change in x. So
Change in y: 301 - 73.5 = 227.5
Change in x: 760 - 110 = 650
Slope:
So
Finding the y-intercept:
(760, 301) means that when . So
So
Use the Pythagorean Theorem.
c^2 = a^2 + b^2. Thus, (2b)^2 = (2√3)^2 + b^2
Simplifying, we get: 4b^2 = 4(3) + b^2, or 3b^2 = 4(3). Then b^2 = 4, and b = +2
Answer:
Part A: It would be a rectangle because the top face is a triangle and since the cut is parallel it would be the same shape.
Part B: It would be a rectangle because the faces that are perpendicular to the base of the rectangle are rectangles so the cut would be the same shape.
Note: The perpendicular sides look like squares, but you do not want to assume that they are squares unless it is stated.
Step-by-step explanation: