To find how much of 5/8 is you would need to divide 1/2 by 5/8:
X = (1/2) / (5/8)
When dividing fractions, you reverse the second fraction and multiply:
X = (1/2) x (8/5)
X = 8/10
Simplify:
X = 4/5
The answer would be 4/9 hope it helped(:
x and the 120 degrees are Complementary angles so they are the same. x=120˚
Answer:
r = -40
Step-by-step explanation:
1. Move constants to the other side of the equation
r = 16/-.04
2. Simplify (by calculator)
You can use a calculator and plug in 16/-.04
r = -40
2. Simplify (by fraction)
You can turn -.4 into a fraction.
-.04 = - 4/10
r = 16/-(4/10)
r = 16*10/-4
r = -40
Answer:

Step-by-step explanation:
The given quadratic form is of the form
.
Where
.Every quadratic form of this kind can be written as

Observe that
is a symmetric matrix. So
is orthogonally diagonalizable, that is to say,
where
is an orthogonal matrix and
is a diagonal matrix.
In our case we have:

The eigenvalues of
are
.
Every symmetric matriz is orthogonally diagonalizable. Applying the process of diagonalization by an orthogonal matrix we have that:


Now, we have to do the change of variables
to obtain

Which can be written as:
