Sullivan show complete solution for the following expression log (3x - 5) = 2
1 answer:
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Answer:
Perimeter
P = P1+P2
P1 = 4a P2=2(a+b)
P1=4*5 P2=2(3+5)
P1=20 P2=2*8
P2=16
P = 20+16
P=36
Area
A=A1+A2
A1= A2=a*b
A1= A2=3*5
A1=25 A2=15
A=25+15
A=40
break it up into simpler shapes. See the photo.
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825
triangle
A = 0.5(2.7)4.5
= 6.075
rectangle
A = 1.8(4.5)
= 8.1
Total Area = 21.825 + 6.075 + 8.1
= 36
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825
triangle
A = 0.5(2.7)4.5
= 6.075
rectangle
A = 1.8(4.5)
= 8.1
Total Area = 21.825 + 6.075 + 8.1
= 36
Answer: 
Explanation: For a general binomial expansion,
, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
Explanation: For a general binomial expansion,
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get: