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denis23 [38]
3 years ago
6

What is the solution 3(2x-6)+4=8x-2(x+1)

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0

Answer:

Step-by-step explanation:

3(2x-6)+4=8x-2(x+1)

We move all terms to the left:

3(2x-6)+4-(8x-2(x+1))=0

We multiply parentheses

6x-(8x-2(x+1))-18+4=0

We calculate terms in parentheses: -(8x-2(x+1)), so:

8x-2(x+1)

We multiply parentheses

8x-2x-2

We add all the numbers together, and all the variables

6x-2

Back to the equation:

-(6x-2)

We add all the numbers together, and all the variables

6x-(6x-2)-14=0

We get rid of parentheses

6x-6x+2-14=0

We add all the numbers together, and all the variables

-12!=0

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A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an
liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute  = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

<u>when the angle is 30 degrees</u>

tan(30) = \frac{6000}{d1}

d1   = \frac{6000}{tan(30)}

d1 = \frac{6000}{0.577}

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

tan(60) = \frac{6000}{d2}

d2  = \frac{6000}{tan(60)}

d2  = \frac{6000}{1.732}\\

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is  </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=>\frac{6928.2}{60}

=>115.47 m/sec

4 0
3 years ago
Determine the value of x. 30° 45° 20° 60°
barxatty [35]

Answer:

x=30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=180/6=30

7 0
3 years ago
What is the slope of the line? y + 5=2(x+1)
mel-nik [20]

Answer:

2

Step-by-step explanation:

So we have the equation:

y+5=2(x+1)

This is in the format point-slope form, where:

y-y_1=m(x-x_1)

Here, m is the slope.

In our original equation, 2 replaces m.

Therefore, our slope is 2.

5 0
3 years ago
Read 2 more answers
HELP FAST FAST FAST PLSS
Ivan

Answer:

B. Distributive Property

Step-by-step explanation:

The distributive property tells us that a(b+c)=(a×b)+(a×c).

Same with the question.

9(16+20)=(9×16)+(9×20).

6 0
3 years ago
Read 2 more answers
Find x !!?????!!!????????????
mars1129 [50]

Answer:

x = 15

Step-by-step explanation:

Given

See attachment

Required

Find x

The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.

So, we have:

90 + 6x + 5+ 10x - 40 + 4x + 5 = 360

Collect like terms

6x + 10x + 4x = 360 - 90 - 5 + 40 - 5

20x = 300

Divide both sides by 20

x = 15

Hence, the value of x is 15

4 0
2 years ago
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