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2 years ago

12

What are the missing numbers?

2 answers:

adelina 88 [10]2 years ago

7 0

I think 15,10, and 25 but i’m really not sure

otez555 [7]2 years ago

3 0

I guess the answer will be 15, 10, and 25 am not sure tho

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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

Help with inequality

Alona [7]

Answer:

1. x>20 2. x≤1 3.x<4 4.x>9 5.x≥-13

6 0

2 years ago

HELP ME PLZ THX YOU.....

docker41 [41]

Answer:

No

Step-by-step explanation:

The rate of change is not the same

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3 years ago

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If you can walk 4.9 miles in 2.9 hours, how many minutes does it take to walk 8.73 miles? Round to 1 decimal.

gavmur [86]

Step-by-step explanation:

2.9 hours = 174mins

174 mins = 4.9miles

1 miles = 1740/49 mins

8.73 miles = 310.0mins (1dp)

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If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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2 years ago

What is the coefficient of the variable in the expression <br> for 6 − 4x − 8 + 2?

marta [7]

The coefficient is what the bariable is multiplied by. In this case, the variable is x and it is multiplied by 4

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3 years ago

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