Using the formula a² + b² = c² but reversing it to c² - b² = x² where x replaces the a for comprehension reasons
so this is the formula
c² - b² = x²
insert the numbers on the triangle in the picture
21² - 8² = 377
since 377 is squared and not the side length, we need to square root it to find x
√377 = 19.4~
Answer: x = 19.4
Answer:
1) 70 for both of them
2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range
3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR
4) A: 80, B: 85
5) A: 65, B: 60
6) 50
7) 100
8) Plot B, see #2 for work
9) 50% - 50% of data is always between Q1 and Q3
10) 25%
11) 25%
The right option is (c). The Mean Value Theorem does not apply since f(x) is not differentiable on (-1,8). Because the derivative of f is 2/3 x^(-1/3) which is undefined at x=0.So, that would imply that it is not differentiable along the interval.
Answer:
The area is 28.
Step-by-step explanation:
Visualize the rectangle as 2 split squares.
The top square is easily 4x4, so the area of that part is 16.
Now visualize the bottom square as two rectangles.
To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)
because the dented side is actually just one half of the rectangle on the other side.
Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4)
. So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.
Totaling these numbers, you get the area of the full rectangle.
The ilne paralell to x=something is x=something else (both are constants)
slope=rise/run
x=-3
it rises infiniley and runs 0 (goes left to right 0)
slope=infinity/0=undefined
the slope is undefined
paralell lines have same slope
so the slope of a paralell line is also undefined