What is the value of the exponential expression below?
Correct answers only?

The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.

What is determinant?

Determinants are considered as a scaling factor of matrices. They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output.

The given matrix is

The determinant of 3×3 matrix can be find using

|C|= a₁(b₂c₃−b₃c₂)−b₁(a₂c₃−a₃c₂)+c₁(a₂b₃−a₃b₂)

Now, 1(2×4-z×0)-0(x×4-y×0)+4(x×z-y×2)

= 8+4xz-8y

The determinant of the given matrix is 8+4xz-8y. Therefore, the determinant depends on the variable.

Learn more about the determinant here:

brainly.com/question/29574958.

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Answer:

det = 8

Step-by-step explanation:

1(8 - 0) - x(0 - 0) + y(0 - 0)

= 8

Answer:

Square both sides and then solves the resulting quadratic equations

Step-by-step explanation:

The equation is 3sqrt(x^2-6)=3sqrt(2x+2)

We can solve this by;

First square both sides;

(3√(x²-6))²=  (3√(2x+2))²

We obtain;

9(x²-6)=9(2x+2)

We simplify to obtain a quadratic equation;

x²-6=2x+2

= x²-2x-8=0

Then we solve the quadratic equation;

x²-4x+2x-8=0  

x(x-4)+2(x-8)=0

(x+2)(x-8)=0

 Values of  x = -2 or 8

Answer:

Cube both sides and then solve the resulting quadratic equation.    

Step-by-step explanation:

It's the answer on edge

Option D:

Right triangle

Solution:

Let us first define obtuse, acute right triangle and supplementary.

Obtuse angled triangle:

If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.

Acute angled triangle:

If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.

Right angled triangle:

If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.

Supplementary:

If sum of the angles is 180°, then the angles are supplementary angles.

But this is not a kind of triangle.

In given triangle one of the angle is 90°.

Therefore, this is a kind of right triangle.

Option D is the correct answer.