On a map ,1cm represents 30 miles. Find the actual distance between two cities if they are 5.2 cm apart on the map.
1 answer:
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Answer:
d) 4 ± 5i
Step-by-step explanation:
Here we have to use the quadratic formula.
x =
In the given equation x^2 - 8x + 41 = 0, a =1, b = -8 and c = 41
Now plug in the given values in the above formula, we get
x =
Simplifying the above, we get
x =
x =
[√-100 = √-1 *√100 = i*10 = 10i] because the value of √-1 = i]
x = (8 ± 10i )/2
Now dividing by 2, we get
x = 4 ± 5i
The answer is d) 4 ± 5i
Hope you will understand the concept.
Thank you.
So we know that an average is the sum of the scores divided by the number of scores that were added together. In this case we are going to be dealing with 4 tests. So let's say x is the score for our fourth test. We can create this equation:
So then we need to simplify the top:
Then multiply by 4 on both sides to get rid of the denominator:
Then solve for x:
So now we know that Sam needs to score a 67 on the fourth test to have an average score of 50.