Sure, here is how I broke it down. The bird is flying a constant X miles per hour with a wind speed of Y miles per hour. So, there are two equations that you use to solve. Here they are:
X+Y=12
X-Y=4
Now, you have to use substitution or elimination to solve (I will use elimination). To use elimination, you simply add both equations together to get:
2X=16
Solve for X by dividing by 2.
X=8. We already established that X is the speed of the bird. Plug X back into either of the equations to find the windspeed.
(8)+Y=12
Subtract 8 from both sides.
Y=4. We already established that Y is the windspeed.
So, the speed of the bird (X) is 8mph and the speed of the wind (Y) is 4mph.
Hope this helped!!
Answer:
the answer is 11 by 8 feet.
Step-by-step explanation: 8 times 11 equals 88 and since the area is 88 that's the answer.
Answer:
Step-by-step explanation:
the reason the questions may not be making sense to you is that there is a mistake in the written question they say 2 and 6 but meant 20 and 60.... and if that was the question the f(x) = 11x + 1 best describes that
Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
Answer:
-18 + 6j
Step-by-step explanation:
3 * -6 is -18
3 * 2j is 6j