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kogti [31]
3 years ago
8

Please help if u can!

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

9514 1404 393

Answer:

  C

Step-by-step explanation:

When you cross multiply by denominator expressions that share a zero, you are effectively making that zero a solution of the resulting equation. That zero cannot be part of the domain of the original equation, and so must be an extraneous solution.

This condition is seen in choice C.

  \dfrac{8}{x^2-9}=\dfrac{5}{2x-6}\qquad\text{original equation. $x\ne3$}\\\\8(2x-6)=5(x^2-9)\qquad\text{result of cross multiplying}\\\\16(x -3)=5(x+3)(x-3)\qquad\text{factored form}

The solutions to this equation are x=1/5 and x=3. Of these, x=3 is extraneous.

__

A better solution method is multiplying by the least common denominator:

  2(8)=5(x+3)\qquad\text{result of multiplying by $2(x^2-9)$}

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7x + 17 = 7x - 17
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Inconsistent: for no value of x is the above equation true. 17 ≠ -17.

Hope this helps! :)
7 0
3 years ago
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Hope this Helps!

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Volgvan
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4 0
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2 Points
lidiya [134]

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The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

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Answer:

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