Imaginary numbers are not rational which may lead you to believe that they must be irrational. Though logical, you would still be incorrect because “irrational” also applies only to real numbers.
Step-by-step explanation:
The left side can be written as a square. We can take the square root, then subtract 1.
... (x +1)² = 17
... x +1 = ±√17
... x = -1 ±√17
Answer:
9 mph
Step-by-step explanation:
-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:
![Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5C%5C%5C%5C%23Upstream%5C%5C%28u-6%29t%3D9%5C%5C%5C%5C%5C%23Donwstream%5C%5C%5C%5C%28u%2B6%29t%3D45)
#Since t is equal in both, we can do away with t.
#We the divide the downstream equation by the upstream equation as:
![\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9](https://tex.z-dn.net/?f=%5Cfrac%7Bu%2B6%7D%7Bu-6%7D%3D%5Cfrac%7B45%7D%7B9%7D%5C%5C%5C%5C%28u%2B6%29%3D5%28u-6%29%5C%5C%5C%5Cu%2B6%3D5u-30%5C%5C%5C%5C4u%3D36%5C%5C%5C%5Cu%3D9)
Hence, the boat's speed in still water is 9 mph
Answer:
z = 0
Step-by-step explanation:
3 (z + 7) = 21
3z + 21 = 21
3z = 0
z = 0
Answer:
B) 8n+4
Step-by-step explanation:
The product of 8 and n means 8n. Four more means +4. These together equal B) 8n+4