Answer:

Explanation:
Given the expression:

This can be a difference of two squares like:

and this is:
Solving for a gives us: 
Step-by-step explanation:
Solving an equation for a variable means that we have to isolate the variable in the equation
Given equation is:

For isolating a, subtracting c from both sides

Subtracting b from both sides

Hence,
Solving for a gives us: 
Keywords: Equation, formula
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10, 8, 6, 4,…
-2 -2 -2
a(n) = a₁ + d(n - 1)
a(n) = 10 - 2(n - 1)
a(n) = 10 - 2(n) + 2(1)
a(n) = 10 - 2n + 2
a(n) = -2n + 10 + 2
a(n) = -2n + 12
Answer:
y = -1/3 x+9
Step-by-step explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9