This rounded to the nearest whole number is 348
Answer:
![n^2+6n+1](https://tex.z-dn.net/?f=n%5E2%2B6n%2B1)
Step-by-step explanation:
AB would be (n) * (2n + 6). We need to distribute the n, so we multiply the n by each term within the parentheses and add those products together:
AB = ![n(2n+6)=2n^2+6n](https://tex.z-dn.net/?f=n%282n%2B6%29%3D2n%5E2%2B6n)
C is just
, and we subtract this from
:
![2n^2+6n-(n^2-1)=2n^2+6n-n^2+1=n^2+6n+1](https://tex.z-dn.net/?f=2n%5E2%2B6n-%28n%5E2-1%29%3D2n%5E2%2B6n-n%5E2%2B1%3Dn%5E2%2B6n%2B1)
Thus, the answer is
.
Hope this helps!
Answer:
The two cars will be almost 188 miles far from each other.
Step-by-step explanation:
Travel Time for Car 1 = t = 3.5 hours
Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours
Average speed of car 1 = 40 mph
Average speed of car 2 = 50 mph
Distance traveled by Car 1 = 40*3.5 = 140 miles
Distance Traveled by Car 2 = 50*2.5 = 125 miles
As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:
altitude = a = 140
base = b = 125
Distance of cars after 3.5 hours = c = ?
According to Pythagoras theorem:
c^2 = a^2 + b^2
c^2 = 140² + 125²
c² = 19600+15625
c = √35225
c = 187.68
Almost 188 miles.
You have to measure the angles and side on your own because you have to use a protractor/ruler.
But for classification:
1. acute triangle and 3 acute angles
2. right triangle and 1 right angle
3. isosceles triangle and 2 equal sides
4. equilateral triangle and 3 equal sides