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dybincka [34]
3 years ago
8

Can someone solve for x please:

Mathematics
2 answers:
ehidna [41]3 years ago
4 0
Of course you could solve for x.  The LCD of these three fracgtions is (x-2)(x+2)(x).

However, you could identify the correct answer by subbing the given x values into the original equation of fractions.  For example, if you want to test out x = -4/3 and x = -5, focus on one or the other first.  If x = -4/3

then the first fraction becomes

     2
-------------     Calculate the other 2 fractions for x = -4/3.  Is the resulting 
-4/3 - 6/3      equation then true?
Alecsey [184]3 years ago
3 0
THe LCD is x(x^2 - 4)

so multiplying through by this we get:-

2x(x + 2) + 7x =  5(x^2 - 4)
2x^2 + 4x + 7x = 5x^2 - 20
3x^2 - 11x  - 20 = 0

(3x + 4)(x - 5 ) =  0

so x =  5 , -4/3

Its the second choice
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Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.
tatuchka [14]
Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:
3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

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Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

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6 0
3 years ago
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Hey need some help with this problem, its trigonometry with right triangles using SohCahToa if you can give me a hand it would b
Firlakuza [10]

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

tan A = \frac{oppositeside}{adjacent side}.

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .

0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.

So x measures 30.9892 units.

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