Answer:
Hypotenuse or in.
Step-by-step explanation:
The Pythagorean Theorem is as follows:
(We know the length of the legs, or a and b, so we can use the formula to find the length of c, or the hypotenuse)
(Simplify)
(Take the square root of both sides)
in.
Answer:
0
Step-by-step explanation:
We find the determinant of a matrix by the method below. If we have a matrix:
The determinant is
Now, using cramer's rule, we find x-value by the formula:
Where D is the determinant of the original problem and is the determinant of the x-value matrix. How do we get those?
<u><em>To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus , we replace the x values of the matrix with the numbers in the right hand side of the 2 equations.</em></u> We show this below:
<em />
<em>To get D:</em>
<em>To get :</em>
<em></em>
<em />
<em>Putting into the formula, we get:</em>
<em></em>
<em />
<em>Thus, the value of x is 0</em>
