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2 years ago

Help! I'm a little stumped when it comes to variables in matrices. An explanation would be super rad!

Mathematics

1 answer:

iris [78.8K]2 years ago

8 0

Answer:

Step-by-step explanation:

To find the determinant of a 3x3 matrix, you can use this method. (See picture.)

Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.

Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.

det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]

det A = -2 (3)(-5) − 0 + 0

det A = 30

You might be interested in

How did u get ur answer to this question

Sergeeva-Olga [200]

You have to find the cube root of 27.
A same number when multiplied 3 times by itself will give the cube.
3√27 = 3 x 3 x 3

So the answer is 3

4 0

3 years ago

Solve for x please help !!!!!!!

exis [7]

Answer:

x ≈ 20.31

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(55°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

Measure of the opposite side = 29 units

Measure of the adjacent side = x

Substitute these values in the expression,

tan(55) = $\frac{29}{x}$

x = $\frac{29}{tan(55)}$

x = 20.306

x ≈ 20.31

5 0

3 years ago

Please help me Find X

solmaris [256]

The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

7 0

1 year ago

The two legs (labeled x) of the right triangle below have equal length. If the hypotenuse has length 5√2 , solve for x.

leonid [27]

Answer:

x=5

Step-by-step explanation:

Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.

Since the two legs have equal length, they are both x. Using the pythagorean theorem:

(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).

You can add (x^2) and (x^2) because they are the same terms (x squared).

Simplifying like so gives you:

2x^2=50

Dividing by two on both sides:

x^2=25

Taking the square root of both sides:

x=5

6 0

3 years ago

You have a choice between 2 jobs, one pays $8.25/hr but requires you to spend $20 to get a uniform. The other pays $7.50/hr. At

Veronika [31]

Step-by-step explanation + Answer:

x = 1st job

y = 2nd job

x + y = 22......x = 22 - y

7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50

154 - 7y + 8.25y = 171.50

-7y + 8.25y = 171.50 - 154

1.25y = 17.50

y = 17.50 / 1.25

y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22

x + 14 = 22

x = 22 - 14

x = 8 <=== 8 hrs at the 7 per hr job

5 0

1 year ago