Answer:
see explanation
Step-by-step explanation:
If f(x) and g(x) are the inverses of each other, then
f(g(x)) = g(f(x)) = x
f(g(x)) = f(x -
) = x -
+
= x
g(f(x)) = g(x +
) = x +
-
= x
Hence f(x) and g(x) are the inverse of each other
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
1. 12=x+3 12-3=9 now try 9+3 that is 12 so x=9
2. b+0.6=-1 -1-0.6=-1.6 -1.6+0.6=-1 b=-1.6
3. a=-9
4. x=-39 I believe
5. a=-4.3
250cm^2
To find the area of shape B we need to find the factor by which you multiply to get from 12 to 15. To find this we divide 15 by 12 to get 1.25. We now multiply the area of shape A (200) by the factor 1.25 to get the answer. The answer is 250cm^2.
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
you would change the denominators to the least common multiple, in this case, 12. then you would change the fractions to 8/12, 14/12, and 7/12. you would add those, and get 29/12. divide 29 by 12, and get 2. add the rest to get 2 5/12.