Answer:
Simplifying
an = 8n + -7
Reorder the terms:
an = -7 + 8n
Solving
an = -7 + 8n
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by 'n'.
a = -7n-1 + 8
Simplifying
a = -7n-1 + 8
Reorder the terms:
a = 8 + -7n-1
Formula for the area of a circle: A = pi x r^2
We are given the diameter in this problem, but we need the radius. To find the radius, we will need to divide the diameter by 2.
8 / 2 = 4
A = pi x 4^2
A = pi x 16
A = 16pi cm^2
Hope this helps!! :)
If the line is parallel, it will have the same slope but a different y intercept.
So, so far y=3x+b.
Because we know that this parallel line goes through (1,3), we can substitute these co-ordinates to get b:
3=(3 x 1)+b
3=3+b
0=b
So the equation of the parallel line is as follows:
y=3x+0
(x+6)(x+2)
Simplifying
(x + 6)(x + 2)
Reorder the terms:
(6 + x)(x + 2)
Reorder the terms:
(6 + x)(2 + x)
Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x))
((2 * 6 + x * 6) + x(2 + x))
((12 + 6x) + x(2 + x))
(12 + 6x + (2 * x + x * x))
(12 + 6x + (2x + x2))
Combine like terms: 6x + 2x = 8x
(12 + 8x + x2)
Answer:
Step-by-step explanation: