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Sav [38]
3 years ago
8

Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:5r2+2

Step-by-step explanation:

Distribute the Negative Sign:

=4r2−3r+2+−1(−r2−3r)

=4r2+−3r+2+−1(−r2)+−1(−3r)

=4r2+−3r+2+r2+3r

Combine Like Terms:

=4r2+−3r+2+r2+3r

=(4r2+r2)+(−3r+3r)+(2)

=5r2+2

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Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
7 0
3 years ago
Please hurry
Leya [2.2K]
The second answer i think is the best one
3 0
3 years ago
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Please help me in this question, pleaee
-Dominant- [34]

Answer:

They will meet in 5:30.

Step-by-step explanation:

'Cause you have to fin the LCM (least common multiple). And in this case the LCM is 30.

7 0
3 years ago
Write an expression to represent susans age in three years when a represents her present age.
Zarrin [17]
Well, since a is Susan’s current age, we would add three to a to get her age in three years
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3 years ago
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At combs store there is a 25% chance a customer enters the store within one minute of closing time. Describe the complementary e
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The complementary event is that a customer does not enter the store within one minute of closing, and the probability is 75%.

The complement is found by subtracting from 100%; 100-25 = 75%.
6 0
3 years ago
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