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Ann [662]
3 years ago
15

What is the positive solution to the equation 0=1/3 x^2 -3

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

To solve for x, get x alone on one side of the equation.

First, add 3 to both sides.

3 = 1/3x^2

Multiply each side by 3

x^2 = 9

Take the square root of both sides

x = + or - 3

You want the positive solution, so x = 3

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A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a
Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is x inch.

As the tabletop has a length that is twice it’s width, so the length will be:  2x inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>:  d=\sqrt{l^2+w^2}

So, the equation will be..........

76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...

Thus, the width of the tabletop is 33.988... inches and the length will be:  (2×33.988...) = 67.976... inches.

The perimeter will be:  2(33.988...+ 67.976...) inches = 203.929... inches.

5 0
3 years ago
Solve equation <br><br> 2l-3l-6^2
Zina [86]
The answer is -30. The absolute value of -3 is 3. Then you evaluate the power of 6 to the power which is 36. Next you multiply the numbers 2 x 3 which is 6. Then calculate the two numbers left over 6 - 36 which is -30.
8 0
3 years ago
a medication prescription states 1/4 tablet twice a day per 20kg the peson weight is 211 pounds. how many tablets should be take
Black_prince [1.1K]
<h2>Hello!</h2>

The answer is: 1.187 tablets each time (twice a day)

<h2>Why?</h2>

From the statement we know that 0.25 tablet (1/4) should be taken twice a day per 20 kg, it makes 0.5 table a day, per 20 kg.

First, we need to convert the given weight unit (pounds) to kg:

1 Pound=0.45Kg

So,

211Pounds*\frac{0.45Kg}{1Pound}= 94.95Kg=95Kg

A weight of 95 Kg, means 4.75 times more than the given information of 0.5 table a day, per 20 Kg

\frac{95Kg}{20Kg}=4.75

Then,

4.75*(0.5)=2.375

So,

For a weight of 95 Kg,  2.375  tablets should be taken a day, or 1.187  tablets each time.

Have a nice day!

6 0
3 years ago
What is (6x^-2)^2 (0.5x)^4 and the steps to do it?
tresset_1 [31]
Square inside the first parentheses,, then square outside both.
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8 0
4 years ago
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Scrat [10]

Answer:

The correct label of the line is CD

4 0
3 years ago
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