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andrew-mc [135]
3 years ago
10

Solve by using square roots. ​ 6x^2−27=39

Mathematics
1 answer:
Bingel [31]3 years ago
6 0

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

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

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

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Complete the statements.
spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

3tan^2(x)-1 =0

Lets assume tan(x) = u

3u^2(x)-1 =0

Now we solve for 'u'

add 1 on both sides

3u^2(x) =1, divide both sides by 3

u^2 = \frac{1}{3}

Take square root on both sides

u = +-\frac{1}{\sqrt{3} }

We replace tan(x) for 'u'

tan(x) = +-\frac{1}{\sqrt{3} }  

x = 30 because tan(30) =+\frac{1}{\sqrt{3} }  in first quadrant

      x = 30      (tan is positive in first quadrant)

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

  x = 150 because tan(150) =-\frac{1}{\sqrt{3} }  in second quadrant

     tan is negative in second quadrant




4 0
4 years ago
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km per hour faster than the other.
yaroslaw [1]

Answer:

the rate of the first cyclist: 28km/h

the rate of the 2nd cyclist 28+4= 32km/h

Step-by-step explanation:

x= the rate of the first cyclist

x+4= the rate of the 2nd cyclist

after 4 hours: + the first cyclist travels 4x  (km)

                       + the 2nd cyclist travels 4(x+4)  (km)

because the two cyclists are 240 km apart after 4 hours

=> 4x + 4(x+4) = 240 => x= 28

i hope it's useful forr u =)))

5 0
3 years ago
A beach ball a radius 15 centimeters what is the volume of the beach ball?
sladkih [1.3K]

Answer:

volume = 4/3 (pi x r^3)

Volume = 4/3 (pi x 15^3)

Volume = 4/3 (3.14 x 3375)

Volume = 14130 cubic cm

Step-by-step explanation:

4 0
3 years ago
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Whats 200×47280 ? Thank you!
CaHeK987 [17]

Answer:

9456000

Hope this helps!!!1!

8 0
3 years ago
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Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability th
grandymaker [24]

Answer:

P(-3\% < x < 3\%) = 0.901

Step-by-step explanation:

Given

p = 21\%

n = 498

Required

P(-3\% < x < 3\%)

First, we calculate the z score

z = \sqrt{p * (1 - p)/n}

z = \sqrt{21\% * (1 - 21\%)/498}

z = \sqrt{21\% * (79\%)/498}

z = \sqrt{0.1659/498}

z = \sqrt{0.000333}

z = 0.0182

So:

P(-3\% < x < 3\%) = P(-3\%/0.0182 < z

P(-3\% < x < 3\%) = P(1.648 < z

From z probability, we have:

P(-3\% < x < 3\%) = 0.901

6 0
3 years ago
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