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DerKrebs [107]
3 years ago
6

What is the factored form of n2 – 25?

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

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Answer:

Step-by-step explanation:

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2 years ago
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
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Answer:

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Step-by-step explanation:

Convert the angle of this sector to radians:

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The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

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The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

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