Answer:
C
Step-by-step explanation:
Distribute x^2 to 2x and 5, you’ll get 2x^3+5x^2.
The distribute 3 to 2x and 5, you’ll get 6x+15.
You’ll get what the question is asking for.
Answer:
Answer in file:
Step-by-step explanation:
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
Answer:
see explanation
Step-by-step explanation:
Given
(x - 2)² + 9 = 0 ( subtract 9 from both sides )
(x - 2)² = - 9 ( take the square root of both sides )
x - 2 = ± 
yields no real solutions
There is no real number when multiplied by itself gives - 9
In fact the solutions to are said to be imaginary, that is ± 3i
where i = 
If interested investigate further.
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. This tells us ...
y/6 = 8/4
y = 6(2) . . . . . multiply by 6
y = 12
