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3 years ago

What is the solution to this equation?

Mathematics

1 answer:

Marat540 [252]3 years ago

5 0

Simplifying

4x + 2(x + 6) = 36

Reorder the terms:

4x + 2(6 + x) = 36

4x + (6 * 2 + x * 2) = 36

4x + (12 + 2x) = 36

Reorder the terms:

12 + 4x + 2x = 36

Combine like terms: 4x + 2x = 6x

12 + 6x = 36

Solving

12 + 6x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0

0 + 6x = 36 + -12

6x = 36 + -12

Combine like terms: 36 + -12 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

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3cot^(2 )x-1=0<br><br> Pls Help

Elina [12.6K]

Answer:

$x=\frac{\pi }{6} ,\frac{7\pi }{6}$

Step-by-step explanation:

$3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\$

x=tan^-1( $\sqrt{3}$ )

It has to be in Quadrant 1 $\frac{+}{+} =+$ or 3 $\frac{-}{-}=+$ for positive.

$x=\frac{\pi }{6} ,\frac{7\pi }{6}$

Unless that incorrect due to tan(x) range is $-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}$ . Then the only answer is $x=\frac{\pi }{6}$

5 0

3 years ago

I want the answer................

RUDIKE [14]

Answer:

AB = CD = 3√5

Step-by-step explanation:

We use Pythagoras' Theorem.

AB² = CD² = 3²+6² = 9+36 = 9·(1+4) = 9·5

=> AB = CD = √(9·5) => AB = CD = 3√5

5 0

3 years ago

Read 2 more answers

Convert 72 miles per hour into feet per second: Show all work.

koban [17]

Answer:

Step-by-step explanation:

72 mph = 105.6 ft per second

Thanks to google.com

6 0

3 years ago

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14. A right cone has a height of 14 in and a base diameter of 17 in.

Mars2501 [29]

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

$A=\pi rl$

$A=\pi r\sqrt{r^2+h^2}$ ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = $\dfrac{\text{Base diameter}}{2}$

$r=\dfrac{17}{2}$

$r=8.5$

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

$A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}$

$A=26.69\sqrt{72.25+196}$

$A=26.69\sqrt{268.25}$

$A=437.1379$

$A\approx 437$

Therefore, the lateral surface area of the cone is 437 sq. inches.

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3 years ago

Can you help me please?

djyliett [7]

Answer:

Step-by-step explanation:

since gallons of gas and distance never negative

4 0

4 years ago