Using the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
Distance = √((5-2)^2 + (-8 - -4)^2
Distance = √(3^2 + -4^2)
Distance = √(9 +16)
Distance = √25
Distance = 5
Answer:
58 + 60
Step-by-step explanation:
Even integers are always seperated by 2.
Answer: we can make 15,504 different math tests
Step-by-step explanation:
Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)
and we want to make a test with 15 of those 20 questions.
As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )
So we only want the number of combinations.
When we have N elements and we want to create groups of K elements, the total number of combinations is:
![C = \frac{N!}{(N - K)!*K!}](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7BN%21%7D%7B%28N%20-%20K%29%21%2AK%21%7D)
Here N = 20 and K = 15
![C = \frac{20!}{5!*15!} = \frac{20*19*18*17*16}{5*4*3*2*1} = 15,504](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B20%21%7D%7B5%21%2A15%21%7D%20%3D%20%5Cfrac%7B20%2A19%2A18%2A17%2A16%7D%7B5%2A4%2A3%2A2%2A1%7D%20%3D%20%20%2015%2C504)
So we can make 15,504 different math tests
Answer: A) y = 4.4x + 7000
B) 1232
Step-by-step explanation:
A) 4.4 could be the slope of a graph, considering that it is the amount of money going up at a constant rate. They also already started with $7000. That would be your y-intercept. Using this basic equation: y = mx + b (b is y intercept, m is slope) you just substitute what you know into the equation.
B) Divide 7000 by 100, which gives you 100 seperate pieces of 70. Multiply that by 4.4 because of the rate it is going up per year. That will give you 308. 308 per year for 4 years will result in 1232 if you multiply right.
Answer:
$1.25
Step-by-step explanation:
Pizza = $2.50
Drink = $1.25
Total = $2.50 + $1.25
= $3.75
Paul has = $5
<u>Change received = total money - money spent</u>
= $5 - $3.75
= $1.25
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>