Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:
Add the fractions:
Factor:
Simplify:
We can expand. Therefore:
Problem 2)
We want to simplify:
Again, let's create a common denominator. First, let's factor out a negative from the second term:
Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:
Subtract the fractions:
Distribute and simplify:
Cancel. Hence:
G(x)=-(x+3)+6
Which is equal to
g(x)=-x+3
Answer:
y - 1 = -2(x + 1).
Step-by-step explanation:
The slope = (-3-1)/(1 - -1)
= -4 / 2
= -2.
In point slope form:
y - y1 = m(x - x1)
Using m = -2 and the point (-1, 1):
y - 1 = -2(x + 1).
Volume of Pyramid= 1/3 x base area x h = 1/3 (6x6)(5.83) = 70
I don't have understand why you have different numbers