Answer:
There are ways for quickly multiply out a binomial that's being raised by an exponent. Like
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3
and so on and so on
but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this
1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.
Hope this helps!
Answer:
It's 1/2 I found this out by subtracting 3/4 - 1/3= 5/12 and if you put that into a decimal it would be .41. So that 1/4= .25 and 1/2= .50. You could figure out that it’s closed to 1/2.
Answer:
About 62.1371
Step-by-step explanation:
Answer:
36-54i
Step-by-step explanation:
(9+9i)(-1-5i)
v
-9-9×5i-9i-9i×5i
v
-9-45i-9i-45i^2
v
-9-45i-9i-45×(-1)
v
(-9)-45i-9i+(45)
v
36(-45i)(-9i)
v
36-54i
Answer:
8/9
Step-by-step explanation:
10-2/10-1=8/9
slope=8/9