Answer: 2 times sqrt(181) (approximately 26.9)
Step-by-step explanation:
First, we can plot these points on a graph. Then, we’ll use the Distance Formula to calculate the distance between the two points, which is sqrt(181).
Since the problem tells us that one of our coordinates is the midpoint of K, we know that the length of the segment we just calculated is 1/2 of K. We can multiply our answer to get that K is 2 times sqrt(181).
Let's find both of the probabilities and multiply them.
First, we know that the theoretical P(Getting Heads) is 1/2, because there's two sides to a penny.
Next, we know that a dice has 6 sides, so P(Rolling a number greater than 2) is going to be 4/6, or 2/3.
Let's multiply our probabilities.
We have:
1/2 × 2/3, which get's us 2/6, or 1/3.
P(Flipping heads and rolling greater than 2) = 1/3.
Hope this helped!
Answer:
-1/2
Step-by-step explanation:
We have:
(30x²+23x+16)/(cx+3) - 13/(cx+3) = 6x+1
(30x²+23x+16 - 13)/(cx+3) = 6x+1
(30x²+23x+3)/(cx+3) = 6x+1
30x²+23x+3 = (cx+3)(6x+1)
30x²+23x+3 = 6cx²+cx+18x+3
30x² + 23x + 3 - 6cx² - cx - 18x - 3 = 0
(30 - 6c)x² +(5 - c)x = 0
6(5 - c)x² +(5 - c)x = 0
(5 - c)(6x² +x) = 0, and x∈ R\ {3/c} ⇒ 5 - c = 0 ⇒ c = 5.
We have to put values of domain to find range
![\\ \ast\sf\longmapsto D_R=[-1,0,1]](https://tex.z-dn.net/?f=%5C%5C%20%5Cast%5Csf%5Clongmapsto%20D_R%3D%5B-1%2C0%2C1%5D)
Now
![\\ \ast\sf\longmapsto R_R=[-2,1,13]](https://tex.z-dn.net/?f=%5C%5C%20%5Cast%5Csf%5Clongmapsto%20R_R%3D%5B-2%2C1%2C13%5D)
