Answer:
x = 7
Step-by-step explanation:
Remember that the axis of symmetry (a vertical line that passes through the vertex) is exactly halfway between the two x-intercepts. Thus, the x-coordinate of the vertex is 7.
Let width be W
Then length = 5W
P=2L+2W
P< 96cm
Then the Perimeter of the rectangle is equal to
(2L+2W)< 96
2*(5W)+2W)≤96
Therefore, 2w+2⋅(5w)≤96
should be your answer
Answer:
Mean is 84
Step-by-step explanation:
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
Answer:
-9/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-7)/(0-(-5))
m=-9/(0+5)
m=-9/5
