Multiply both the numerator and denominator by , which is called the "conjugate" of :
Why do we pick this number? Recall the difference of squares factorization:
Now replace and . Then
So in your fraction, you end up with
Finally, just expand the product.
Let's say you have an idea that you want to present in writing. For an argument to be valid, it must have supporting evidence. An argument would just be useless if it did not have any documents or laws that would be supporting its justification. To say for example, I wanted to argue that the law of conservation of energy is not true. If I don't show actual evidence of energy being created, then that would leave me with an unclear, and most possibly invalid argument.
Because you are not multiplying 250 by a number larger than 1. If you multiply 250 by a number larger than 1 the product will be larger than 250. If you multiply 250 by a number less than 1 the product will be less than 250.
Hope that helps!
Answer:
-4, 4
Step-by-step explanation:
it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4
Answer:
-3/2, 1.25, |-9/4|, 2.5, 121
Step-by-step explanation:
Convert all numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest.
-3/2, 1.25, |-9/4|, 2.5, 121