Answer:
The first picture goes with the second sentence.
The second picture goes with the first sentence.
The third picture goes with the third sentence.
The fourth picture goes with the fourth sentence.
Step-by-step explanation:
Answer:80
Step-by-step explanation:2 times 5 is 10. 10 times 67 is 670. 670 divided by 67 is 10. 10 times 8 is 80x
Whatever the number of times you flip the disc, as long as the disc has uniformly distributed mass throughout the body, then
The probability will always be 50%
Answer:
bottom side (a) = 3.36 ft
lateral side (b) = 4.68 ft
Step-by-step explanation:
We have to maximize the area of the window, subject to a constraint in the perimeter of the window.
If we defined a as the bottom side, and b as the lateral side, we have the area defined as:
The restriction is that the perimeter have to be 12 ft at most:
We can express b in function of a as:
Then, the area become:
To maximize the area, we derive and equal to zero:
Then, b is:
Try this solution:
Step-by-step explanation:
1) for zeros of the function: x²-6x-7=0; ⇒ x₁=7; x₂= -1.
2) for the vertex of the function: x₀= -b/2a, where a;b;c - numbers from ax²+bx+c=0 (from x²-6x-7=0).
x₀=6/2=3;
y₀= (4ac-b²)/4a; ⇒ y₀= -16.
It means, the coordinates of the vertex are (3;-16).
