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3 years ago

Why is i square equals -1

Mathematics

1 answer:

wel3 years ago

4 0

Answer:

The value of i is the √-1. Once you square that the square root goes away and you are left with -1.

Step-by-step explanation:

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Maria earned $42 for 6 hours of work .how much will she get for 15 hours of work ?

katrin2010 [14]

Answer: 105

Step-by-step explanation:

6 hours

7 x 6 = 42

15 hours

7 x 15 = 105

8 0

4 years ago

Read 2 more answers

Use the distributive property to rewrite the following expression: 3(6y - 4)<br>

ddd [48]

Answer:

18y - 12

Step-by-step explanation:

3(6y - 4)

(3)(6y - 4)

(3)(6y) + (3)(-4)

18y - (3)(-4)

18y - 12

7 0

3 years ago

1. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.

mr Goodwill [35]

1. If a polynomial function with rational coefficients has -4 and 8 as roots, it means we can factor this polynomial this way :

(x - (-4))(x-8) = (x+4)(x-8) = x² - 8x + 4x - 32 = x² - 4x - 32

1x² - 4x - 32 is a polynomial function of least degree with rational coefficients that satisifies the given conditions. The leading coefficient here is 1, we call this a monic polynomial.

2. There may be something missing in the question here

3. We can use the factoring techniques to find the roots :

x^3 - 5x² + 9x - 45 let us group x^3 with -5x² and 9x with -45 :

(x^3 - 5x²) + (9x - 45) = x²(x - 5) + 9(x - 5)

We can notice now that there is a common factor : (x-5) this allows us to factor again by (x-5) :

Y = (x-5)(x²+9)

This is the maximum we can do on R, but on C the set of complex we can still factor again.

x² + 9 has a negative discriminant : Δ = b² - 4ac where b = 0 , a = 1, c = 9

Δ < 0, Δ = - 36

Applying the formulas for the roots x1 and x2 we get x1 = -3i, and x2 = + 3i

Y = (x-5)(x-3i)(x+3i)

So the solution is S = {5, 3i, -3i} the three roots of the function.

6 0

2 years ago

Which graph represents this equation?

madreJ [45]

Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

We have the equation of the line:

5y = x + 5

After plotting the line on the coordinate plane.

The above line passes through:

(-5, 0), (0,1), and (5,2)

And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)

Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

7 0

2 years ago

How will the graph of f(x) change after applying the translation

PolarNik [594]

Do you have a picture of the work ?

8 0

3 years ago