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zysi [14]
3 years ago
12

Find all solutions of sqrt(3)tan(3x) = 0

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

x=  nπ/3

Step-by-step explanation:

We are given that: \sqrt{3}*tan(3x) = 0

Divide both sides by \sqrt{3}

=> \frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}

=> tan(3x) = 0

we know that arctan(0) = nπ

Therefore,

3x = nπ

or

x=  nπ/3 (where n belongs to positive and negative integers)

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Drag the correct factors to the expression. Not all factors will be used. Use synthetic division to find all the factors of this
fiasKO [112]

The factors are therefore;  (4x – 3), (x + 3) and (x – 1)

<h3>What is a polynomial?</h3>

A polynomial is is a function that contains an algebraic term which is raised to a particular power.

  • If it is raised to power 1 it is linear
  • If it is raised to power 2 it is quadratic
  • If its is raised to power 3 it is cubic
  • If it i raised to power 3 it is quartic

Now we have;

4x³ + 5x² – 18x + 9

Thus we can write;

4x³ – 3x² + 8x² – 6x – 12x + 9

Using the factors;

x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

Therefore;

(4x – 3)(x² + 2x– 3)

(4x – 3)(x² + 3x – x – 3)

(4x – 3)(x + 3)(x – 1)

The factors are therefore;  (4x – 3), (x + 3) and (x – 1)

Learn more about polynomials:brainly.com/question/21334281

#SPJ1

3 0
1 year ago
GIVING BRAINLIST :) pls someone
maw [93]

Answer:

is it 13?

Step-by-step explanation:

6 0
3 years ago
Help asap plsss.......
Yakvenalex [24]

Answer:

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8 0
2 years ago
Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?
soldi70 [24.7K]

Answer:

12.5 unit square

Step-by-step explanation:

The area of a trapezoid is calculated with the following formula:

(b1 + b2)*h/2 (b1: base, b2: base, h: height)

(4+6)*(2.5)*2 = 12.5

5 0
2 years ago
780<br> 56°<br> (100°<br> (x + 48)°
Marta_Voda [28]

Answer:

The Question is Incomplete still What i understood I let you Explain.

x = 78°  

Step-by-step explanation:

Let

m∠ A = 78°

m∠ B = 56°

m∠ C = 100°

m∠ D = (x + 48)°

Be angles of Quadrilateral.

To Find:

x = ?

Solution:

Property of a Quadrilateral sum of the measures of the angle is 360°.

∴ m∠ A + m∠ B + m∠ C + m∠ D =  360°

Substituting above given values we get

∴ 78° +56° + 100° + ( x + 48° ) = 360°

∴ x + 282° = 360°

∴ x = 360° - 282°

∴ x = 78°     ........... which the required answer

4 0
3 years ago
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