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3 years ago

( √2 - √3 )² = a. 5 - 2√6 b. 5 - √6 c. 1 - 2√6 d. 1 - √2 e. 1

Mathematics

1 answer:

TEA [102]3 years ago

7 0

$(\sqrt{2} - \sqrt{3})^2= (\sqrt{2})^2-2 \sqrt{2} \sqrt{3} +(- \sqrt{3} )^2=2-2 \sqrt{2*3} +3=5-2 \sqrt{6}$

Answer: A

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Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
Available time = 360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * Wide
Volume of the pool = 2 m * 10 m * 8 m
Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal
160 m^3 ⇒ x

And we calculate:

$x = \frac{160 m^{3}*264.172 gal }{1m^{3} }$ (We cancel the unit "m^3)
x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool = $\frac{42267.52gal}{130\frac{gal}{min} }$ (We cancel the unit "gallon")
Time to drain the pool = 325.1347692 minutes
Time to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

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2 years ago

Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution

Basile [38]

9514 1404 393

Answer:

(x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

-4(2x -7y) +7(7x -4y) = -4(19) +7(5)

-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

41x = -41 . . . . . simplify

x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

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2 years ago

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The answer to your question is C. Only lll

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

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2 years ago

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