Answer:
Slope(m)=3
Y-intercept= 0
y = 3x +0
Proportional
Step-by-step explanation:
m = -6--12/-2--4
m=6/2
m=3
-12 = 3(-4) + b
-12 = -12 + b
0=b
Answers is
x=5 y=20 (5,20)
By proportion. First write down the given information systematically:
[1000] drops of liquid equals (1 fl. oz.)
(100) drops of liquid equals ? oz
For problems that are directly proportional, we cross multiply the numbers in the bottom left and top right (in parentheses), divide by the number across ( in square brackets) from the unknown, namely:
Answer:
100 drops * 1 fl. oz / (1000 drops) = (100/1000)* 1 fl. oz = 0.1 fl. oz.
Y = -2x + 5
That's the answer and you find it by finding the slope by using (4,-3) and (-2,9). You subtract -3 from 9 over 4 from -2. After you find the slope which would be -2 you use the equation y-y1 = slope(x - x1). You plug in any coordinates and find the answer.
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: