Use the distance formula, AB=√[(1-(-9)]²+[(-1-(-3)]=√[100+4]=√104
use the same formula, AC=√52, BC=√52
AC²+BC²=52+52=104=AB²
Yes, it is a right triangle.
Answer:
3
Step-by-step explanation:
Here we have the function
We want to find the following ratio:
Note that the limit of this for 
is equivalent to the derivative of the function.
Here we have:
And
Therefore we have
And therefore,
Answer:
first and third
Step-by-step explanation:
Emma used the product instead of the quotient and forgot the parentheses in x-4.5
Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
================================================
Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
================================================
Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
================================================
Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
