Option C:
The coefficient of is 40.
Solution:
Given expression:
Using binomial theorem:
Here
Substitute in the binomial formula, we get
Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.
Let us solve the term one by one.
Substitute these into the above expansion.
The coefficient of is 40.
Option C is the correct answer.
Answer:
Explanation:
Assuming the correct expression is to find the following limit:
Use the property the limit of the quotient is the quotient of the limits:
Evaluate the numerator:
Evaluate the denominator:
- Since
Answer:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: A.(o,-6). Ra,270
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Step-by-step explanation:
Answer:
For the first one: they increase in by 14, so the three could be 73,87,101
Second: Sequential, increasing by 20, next could be 110, 130, 150
Third: Increase by 27, next three could be 122,149,176
"Pi", written as π - is an irrational number.
π≈3.14