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Margaret [11]
3 years ago
8

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.

5 0
3 years ago
Can you help me please?
djyliett [7]

Answer:

A

Step-by-step explanation:

since gallons of gas and distance never negative

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4 years ago
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