Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
Answer: 7 to 4
Step-by-step explanation: There are 16+12=28 total students, and 16 boys. Therefore, the ratio is 28:16, but you must simplify that, you can do this by dividing both values by 4 to get 7:4.
Answer:
0.395 kilometers
Step-by-step explanation:
Please consider the complete question.
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball went into the hole. Martin was standing 79 meters from the hole as he took his second stroke. How many kilometers from the hole was Martin when he started?
Let x represent the distance between hole and start point.
In 1st stroke ball traveled 4/5 of the distance, so 1/5 of the distance was remaining from 2nd stroke to hole. This means the 1/5 of whole distance between start point and hole is equal to 79 meters.
We can represent this information in an equation as:
Since our distance is in meters, so we will convert 395 meters into kilometers by dividing by 1000.
Therefore, Martin was 0.395 kilometers from the hole, when he started.
