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JulsSmile [24]
2 years ago
15

Which expression is equal to (x+2)(x−4)(x−4)(x+4)?

Mathematics
1 answer:
dimaraw [331]2 years ago
8 0

Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x

2

=

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x

=

±

√

16

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

4

,

−

4

Exclude the solutions that do not make

x

2

x

−

4

=

16

x

−

4

true.

x

=

−

4

Step-by-step explanation:

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The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
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Answer:

Ratio = \frac{R^2 - r^2 }{ r^2}

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

R \to Radius

The sector of the outer sector has the following area

A_2 = \frac{\theta}{360}\pi (R^2 - r^2)

So, the ratio of the outer sector to the inner sector is:

Ratio = A_2 : A_1

Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2

Cancel out common factor

Ratio = R^2 - r^2 : r^2

Express as fraction

Ratio = \frac{R^2 - r^2 }{ r^2}

6 0
3 years ago
Please help!! algebra<br> Find each value<br> 1. ∛x³<br> 2. 6³<br> 3. 10³
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X
216
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Cy) = 3y - 4<br> d(y) = 3 – 2y<br> Find (c. d)(y).
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3 0
3 years ago
Suppose on a certain test, fifty students earn a perfect score and fifty students earn a zero. determine the mean grade and stan
kodGreya [7K]

Answer:

Mean=50.

standard deviation=50.

Step-by-step explanation:

Let the perfect score be 100.

The mean(average) of a data is given by: Mean=\frac{sum of data points}{number of data points}

Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.

so, sum of data points=50×100+50×0=5000.

Mean=\frac{5000}{100}

Mean=50.

"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".

Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.

next on squaring we will have all the 100 entries as '2500'.

now the mean of these entries is: \frac{2500\times100}{100}

                                                         =2500

taking it's squareroot we have \sqrt{2500}=50

Hence, standard deviation=50.




5 0
4 years ago
Read 2 more answers
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