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Nana76 [90]
3 years ago
11

Which is equivalent to (−2m + 5n)², and what type of special product is it?

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
(-2m + 5n)²

(-2m + 5n) (-2m + 5n)
-2m(-2m + 5n) + 5n(-2m + 5n)

4m² - 10mn - 10mn + 25n²
4m² - 20mn + 25n²

4m²⇒ -2m * -2m
-20mn ⇒ 2(-2m)(5n)
25n² ⇒ 5n * 5n

<span>C. 4m² − 20mn + 25n²; a perfect square trinomial</span>
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<h3>Answer:  16/33</h3>

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

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Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

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Let f(x) = x^2 and g(x) = x - 5 Find (f o g)(-2)
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