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PolarNik [594]
3 years ago
10

Simplify (3 + 2i)(7 − 5i).

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0
Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
swat323 years ago
3 0
(3+2i)(7-5i) = 21 - 15i + 14i + 10 = 31 - i
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Oh mah lord please please help me
Alenkinab [10]

Option 2: 4^{\frac{1}{6}} is the correct answer.

Step-by-step explanation:

The radical expressions like these are simplified by using fractional exponents

given

\frac{\sqrt{4}}{\sqrt[3]{4} }

Converting radicals into exponents

When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3

So

=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}

As the bases of numerator and denominator is same, the exponents can be subtracted

=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}

Hence,

Option 2: 4^{\frac{1}{6}} is the correct answer.

Keywords: Exponents, radicals

Learn more about radicals at:

  • brainly.com/question/6073431
  • brainly.com/question/6075514

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7 0
3 years ago
What is an expression for 5(9m+2n-6m)
Elis [28]
45m+10n-30m
15m+10n

I believe this is right.
6 0
3 years ago
Read 2 more answers
[PLEASE HELP!!!!!!!!!]
In-s [12.5K]

The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

\rm \dfrac{1}{2}y + 3.2y = 20

After solving:

y = 5.40   (one solution)

\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4}  -2z

After solving:

\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}

\rm \dfrac{29}{4}=\dfrac{29}{4} (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

Learn more about the linear equation here:

brainly.com/question/11897796

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5 0
2 years ago
F(x) = 1/3x -2; reflection in the x-axis
san4es73 [151]
Would it be -1/3x -2?
4 0
2 years ago
X = 0.5<br> Solve please
faltersainse [42]

Answer:

2x-1=0

Step-by-step explanation:

x-0.5=0

10x-5=0

2x-1=0

4 0
3 years ago
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