Determine if each function is linear or nonlinear.
1 answer:
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Answer:
y = x + 4
Step-by-step explanation:
We are to find the equation of line 1 which passes through point (-4,6)
Line 1 is perpendicular to line 2.
The equation of line 2 is; y = x + 5
The slope of line 2 is
Because the product of two perpendicular line is -1;
The slope of line 1 is -1 ÷ =
Taking another point (x,y) on line 1;
Slope = change in y ÷ change in x
=
y - 6 = (x + 4)
y - 6 = x -
y = -
+ 6
y = x + 4
The solution is f².
<h3>How to solve for this</h3>The question that we have here is of the form f to -1 power times -2. To have a better graphic image we can rewrite it as
Now we have to multiply the powers -1 and -2
Remember that in the rules of mathematics, the solution for -1 and -1 = 1
This tells us that - * - = +
Hence we would have -1 * -2
= 2
Therefore the power would be f²
<h3>How do you simplify exponents and powers?</h3>In order to carry out the simplification of exponents what you have to do would be the multiplication of the exponents that are in the question. The base of the question remains unchanged.
For example, (2³)⁵ = 2³ˣ⁵ = 2¹⁵. For any positive number x and integers a and b:
The exponents here are the numbers that are written above the base. They usually tell us how many times the base would have to be multiplied by itself to get a solution.
Read more on multiplication of powers here:
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