Answer:
There are no real number solutions.
Step-by-step explanation:
Real numbers are a whole range of numbers including: Natural Numbers(1;2;3...), Whole Numbers(0;1;2...), Integers(...;-2;-1;0;1;2;...), Rational Numbers(-0.6; -0.2; 0 ;1.5 etc.) and Irrational Numbers(;
;π; etc.). All these number comprise Real Numbers.
Imaginary Numbers are the square roots of negative Integers, which is the case for this question.
Answer:
Constant of proportionality is
Equation is
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Explanation:
The general equation they give is c = rg
Solving for r leads to . We divided both sides by g to get this.
Now pick any point on the diagonal line. I'll pick (3,10)
The graph shows the horizontal axis is g and the vertical axis is c. The point (3,10) means g = 3 and c = 10 pair up together.
Making r to be,
and the equation in the form c = rg would be
We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:
<h3>Presenting the equation:</h3>
Basically, we want to solve:
The matrix product will be:
Then we must have:
-b + 2 = 1
This means that:
b = 2 - 1 = 1
We also need to have:
a*b + 1 = 0
we know the value of b, so we just have:
a*1 + b = 0
Now the two remaining equations are:
-c + 2d = 0
a*c + d = 1
Replacing the value of a we get:
-c + 2d = 0
-c + d = 1
Isolating c in the first equation we get:
c = 2d
Replacing that in the other equation we get:
-(2d) + d = 1
-d = 1
Then:
c = 2d = 2*(-1) = -2
So the values are:
If you want to learn more about systems of equations, you can read: