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2 years ago

(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

The question can't be solved because we can't have negative sign under square root

gulaghasi [49]2 years ago

3 0

Answer:

-5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

<h3>simplify radicals</h3>

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

$\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i$

So the expression becomes ...

(4 +9i) -(9 +3i)

<h3>combine terms</h3>

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

(4 +9i) -(9 +3i) = 4 +9i -9 -3i

= (4 -9) +(9 -3)i

= -5 +6i

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A triangular prism has a valine of 8460 in if the height of the prism is 9 in

solmaris [256]

Answer

Work:
Volume is total = 8460 in3
Width 40in
Height 9in
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Formula v/(w x h)

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2 years ago

The diagram shows a pentagon. It has one line of symmetry.

Nina [5.8K]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

What is 0.66666666666 as a fraction

stellarik [79]

To turn $0.(6)=0.6666...$ into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by $10^n$ to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by $10^1 = 10$ . Thus, you have $10x = 10 \cdot 0.666...$ or $10x = 6.666....$ .

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, $10x-x=6.666...-0.666...\\ 9x=6$ .

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: $9x = 6$ . If you divide both sides by 9, you get $x=\dfrac{6}{9}$ . When simplified, you get that $x=\dfrac{2}{3}$ .