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3 years ago

How do I do this? Please explain in detail.

Mathematics

2 answers:

umka2103 [35]3 years ago

8 0

22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4

Neporo4naja [7]3 years ago

7 0

Https://us-static.z-dn.net/files/d39/8be32892e96d7954b568343588bbf6c2.jpeg

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If like age is represented by x which of the following would represent his bother age

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Answer:

As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5

Step-by-step explanation:

Given function:

$f(x)=\dfrac{4x-7}{8x+8}$

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at $y=\dfrac{a}{b}$ (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.

$\textsf{Horizontal asymptote}:y=\dfrac{4}{8}=\dfrac{1}{2}$

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1 year ago

ABC is similar to DEF. Find x.

san4es73 [151]

<h3>Answer: 25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

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3 years ago

If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE= 11x-31 find the measure of angle AB

Hunter-Best [27]

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

= (6x + 2x) + (26 + 9)

= 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

= (6x + 2x) + (26 - 9)

= 8x + 17

11x - 8x = 17 + 31

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x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

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