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Kisachek [45]
3 years ago
6

What is the value of the modulus of 2−6i ? Answer as a simplified radical.

Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Answer:

2sqrt(10)

Step-by-step explanation:

| 2 - 6i |

sqrt[2² + (-6)²]

sqrt(4 + 36)

sqrt(40)

2sqrt(10)

sqrt: square root

Alja [10]3 years ago
6 0

Answer:

6.3244

Step-by-step explanation:

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I need help so much please help the attachment below is the question i need help on
leonid [27]

Answer:

\dfrac{\sqrt[12]{55296}}{2}

Step-by-step explanation:

Rationalize the denominator, then use a common root for the numerator.

\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}

3 0
3 years ago
Is 4y=16x a Direct variation
gizmo_the_mogwai [7]

In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also

increases.

  • Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where <em>k</em> is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

\displaystyle \frac{4 \cdot y}{4}  = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

brainly.com/question/6499629

6 0
2 years ago
Is 5/12 greater than or less than 3/6?
Advocard [28]
5/12 is less than 3/6.
8 0
3 years ago
The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area
Genrish500 [490]

Answer:

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

A=2\pi rh+2\pi r^2

in this case, r is not a number, but rather an expression, which is r = 3x +1.

The height of the gift box is twice the radius, which is h = 2(3x+1)= 6x+2

To get our curved surface area, we carefully put the expressions for h and r into the equation.

A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}

A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}

A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}

A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

5 0
3 years ago
The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr
cluponka [151]
<h2>Answer:</h2><h2>volume of the cylinder = 2πx^{3}</h2>

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = πr^{2} h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = πr^{2} h =  π x^{2} (2x)

volume of the cylinder = 2πx^{3}

5 0
4 years ago
Read 2 more answers
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