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hodyreva [135]
3 years ago
11

1 6 points Solve for x: 3x - 2 = x + 8 (Engin+bon.

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

Answer:

x = 5

Step-by-step explanation:

3x - 2 = x + 8

Subtract x from each side

3x-x - 2 = x-x + 8

2x -2 = 8

Add 2 to each side

2x-2+2 = 8+2

2x = 10

Divide each side by 2

2x/2 =10/2

x = 5

Artyom0805 [142]3 years ago
8 0

Answer: x = 5

Step-by-step explanation:

3x - 2 = x + 8- from this, move -2 across the '=', which makes it now a positive 2. It will now look like 3x = x + 10. Now you should move the x across, which will make it negative, so it will now look like 2x = 10. Now all you have to do is divide 10 by 2, and you will get x, which equals 5

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Write the fraction as an equivalent fraction with the given denominator 7/4 = _/20
zzz [600]

Answer:

35/20

Step-by-step explanation:

20 divided by 4 = 5

so our multiple is 5

5 x 4 = 20

so we have to do the same to the numerator

5 x 7 = 35

Simplified= 1 3/5

4 0
2 years ago
How much it will take for a bag to travel 5 meters across the floor of it is traveling at 1 m/s
tester [92]
Time = \frac{distance}{speed}

The distance the bag will travel is 5 meters, and the speed it is traveling at is 1 m/s. Plug these into the formula for time.

\frac{5 m}{1 m/s} = 5 s
5/1 = 5 and the m (meters) cancel out, so you are left with s, seconds.

It will take the bag 5 seconds to travel across the floor.
5 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
lora16 [44]

Answer:

\displaystyle y=2\sqrt{6}

\displaystyle x=2\sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}

Solving for y:

y=4\sqrt{2}\cos 30^\circ

Since:

\cos 30^\circ=\frac{\sqrt{3}}{2}

\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}

Simplifying:

\displaystyle y=2\sqrt{6}

Now we use the sine ratio:

\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}

Solving for x:

x=4\sqrt{2}\sin 30^\circ

Since:

\sin 30^\circ=\frac{1}{2}:

\displaystyle x=4\sqrt{2}\frac{1}{2}

Simplifying:

\displaystyle x=2\sqrt{2}

The choices are not clear, but it seems like the correct answer is C.

\boxed{\displaystyle y=2\sqrt{6}}

\boxed{\displaystyle x=2\sqrt{2}}

6 0
3 years ago
What is the answer -6x•-89-45g
Dennis_Churaev [7]
Factored
-3(-178x+15g)

Simplified
534x-45g
4 0
3 years ago
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the
rewona [7]

Answer:

Hello! So your answer would be 90 degrees!

Step-by-step explanation:

So the equation would be

x + 50 + 40 = 180.

50 + 40 = 90

180 - 90 = 90!

So basically y and x are both 90

3 0
3 years ago
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