Answer:
First lets find the slope through the points (3,-1) and (-1,5)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula (note: (x%5B1%5D,y%5B1%5D) is the first point (3,-1) and (x%5B2%5D,y%5B2%5D) is the second point (-1,5))
m=%285--1%29%2F%28-1-3%29 Plug in y%5B2%5D=5,y%5B1%5D=-1,x%5B2%5D=-1,x%5B1%5D=3 (these are the coordinates of given points)
m=+6%2F-4 Subtract the terms in the numerator 5--1 to get 6. Subtract the terms in the denominator -1-3 to get -4
m=-3%2F2 Reduce
So the slope is
m=-3%2F2
Step-by-step explanation:
Answer:
x = ±sqrt(2)
Step-by-step explanation:
8x^2 - 5 = 11
Add 5 to each side
8x^2 - 5+5 = 11+5
8x^2 = 16
Divide each side by 8
8x^2 = 16/8
x^2 = 2
Take the square root of each side
sqrt(x^2) = ±sqrt(2)
x = ±sqrt(2)
<span>On the number line, p would be to the left of 2/3. The sum of p and 2/3 equals 0.</span>
Answer:
1/10
Step-by-step explanation:
To multiply 1/4 and 2/5 together, you just multiply straight across.
1/4 * 2/5 = 2/20
You can simplify this further by div'g by 2/2, so your final answer is 1/10.
Answer:
Each one of the ten people has to shake hands with all the $20$ other people they don’t know. So $10\cdot20 = 200$. From there, we calculate how many handshakes occurred between the people who don’t know each other. This is simply counting how many ways to choose two people to shake hands from $10$, or $\binom{10}{2} = 45$. Thus the answer is $200 + 45 = \boxed{\textbf{(B)}\ 245}$.
Step-by-step explanation:
