Answer:
Step-by-step explanation:
- Let the speed of the boat = b and the speed of the current = c
<u>Equations to reflect time, time = distance/speed:</u>
- 80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16
- 80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8
<u>Sum of the 2 equations above</u>
- b + c + b - c = 16 + 8
- 2b = 24
- b = 12
- c = 16 - 12 = 4
So the speed of the boat is 12 mph
The speed of the current is 4 mph
Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29
we have
f(x)=(x-9)^2-29
This is a vertical parabola, open upward
The vertex represent a minimum
The vertex of the parabola is the point (9,-29)
The domain is all real numbers
The range is the interval {-29, infinite)

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
In this problem
axis of symmetry is x=9
<h2 />
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Answer:
The values of x and y that satisfy the equation are 2 and 2, respectively.
Step-by-step explanation:
Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:
Real component
(1)
Imaginary component
(2)
The solution of this system of equations is
and
.
The values of x and y that satisfy the equation are 2 and 2, respectively.
Im pretty sure the answer is the second one