Determine which system below will produce infinitely many solutions. (2 points)

1 answer:

6 0

The only system that has infinitely many solutions is NUMBER 2. Where you solve a system, and both sides end up being 0=0, then the system will have infinitely many solutions. Well, in these four choices, Number 2 is the only one that ends up being 0=0 after I solved it.

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SOMEONE HELP ON NUMBER 1

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Simplify. 1/4n-1/2 / n/6 - 1/24n<br><br> A. -6 / 2N-1<br> B. -6 / 2N+1<br> C. 6 / 2N+1

Oksi-84 [34.3K]

Answer:

Option B is the correct answer

Step-by-step explanation:

The exact expression is:

$\frac{\frac{1}{4n}-\frac{1}{2}}{\frac{n}{6}-\frac{1}{24n} }$

Taking LCM in numerator and denominator can simplify the expression. Further simplifying the expression can give us the final result, as shown below:

$\frac{\frac{1-2n}{4n} }{\frac{4n^{2}-1 }{24n}} \\\\=\frac{1-2n}{4n}\times\frac{24n}{4n^{2}-1 }\\\\=\frac{1-2n}{4n}\times\frac{24n}{(2n+1)(2n-1)}\\\\ =-\frac{2n-1}{4n}\times\frac{24n}{(2n+1)(2n-1)}\\\\ =-\frac{6}{2n+1}$

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3 years ago

Read 2 more answers

Calculate the length of a triangle if another length is 15 feet and the hypotenuse is 39 feet.

Y_Kistochka [10]

We have to use Pythagorean theorem that says :

$a^2+b^2=c^2\\\Rightarrow a^2+15^2=39^2\\a^2=39^2-15^2\\a=\sqrt{1296}\\a=36$

The missing length of the triangle is : 36 feet

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