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S_A_V [24]
3 years ago
8

6-8x=7x-9x+12 x = ??

Mathematics
2 answers:
Snezhnost [94]3 years ago
6 0

Answer:

x = -1

Step-by-step explanation:

<u>Step 1:  Combine like terms on the right side </u>

6 - 8x = 7x - 9x + 12

6 - 8x = -2x + 12

<u>Step 2:  Add 8x to both sides </u>

6 - 8x + 8x = -2x + 12 + 8x

6 = 6x + 12

<u>Step 3:  Subtract 12 from both sides </u>

6 - 12 = 6x + 12 - 12

-6 = 6x

<u>Step 4:  Divide both sides by 6 </u>

-6 / 6 = 6x / 6

-1 = x

Answer:  x = -1

Llana [10]3 years ago
5 0

Answer:

x = -1

Step-by-step explanation:

6-8x=7x-9x+12

To solve the equation, we will follow the step below;

First we will collect the like terms, this implies that all the number with x variables will be taken to the left-side while all the constant will be taken to the right-hand side.

That is;

6-8x=7x-9x+12

-8x -7x + 9x = 12 - 6

-6x = 6

Divide both-side of the equation by -6 to get the value of x

\frac{-6x}{-6}  = \frac{6}{-6}

(On the left-hand side of the equation -6 at the numerator will cancel-out -6 at the denominator leaving us with just x, while on the right-hand side of the equation 6 will be divided by -6)

x  = \frac{6}{-6}

x = -1

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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
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Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

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h = 382.925 feets

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3 years ago
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