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2 years ago

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Which of the following correctly simplifies the expression 2 to the power of 2 multiplied by 6 to the power of 0 whole over 7, t

he whole cubed.?

1 answer:

saveliy_v [14]2 years ago

7 0

Can you expand the question into math formula? Please make it clear

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Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

6 0

3 years ago

PLEASE HELP (check image)

Pie

Answer:

all triangle

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the result when the number 16 is decreased by 25%

dlinn [17]

Answer:

4

Step-by-step explanation:

Decreasing a percentage from a number can be done by multiplying said number and percentage together. That being said:

16 * 25% = 4

Meaning that the result of the number 16 being decreased by 25% is 4

7 0

1 year ago

Read 2 more answers

Find the non permissible replacement for -5/3y

Kamila [148]

Answer:

0.

Step-by-step explanation:

The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.

This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.

Hope this helps!

8 0

3 years ago

Find the length of the third side to the nearest tenth.

Dima020 [189]

The answer would be 9.2 . if you use pythagorean’s theorem.

3 0

3 years ago