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Fofino [41]
3 years ago
10

What is the answer of square root of -24 in complex numbers

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

With \sqrt{-1}=i, we have

\sqrt{-24}=\sqrt{(-1)(24)}=\sqrt{-1}\sqrt{24}=i\sqrt{24}

Since 24=2^3\cdot3, we can further write this as

i\sqrt{24}=i\sqrt{2^2\cdot6}=2i\sqrt6

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
marta [7]
The answer is A
there is not enough hours to build everything and A has the right equation
8 0
2 years ago
Read 2 more answers
What is the solution for the inequality given below? Show work.<br> 3x - 4 &lt; -19
Ludmilka [50]

Answer:

x

Step-by-step explanation:

3x-4

Add 4 to both sides

3x

Divide both sides by 3

x

Hope this helps!

(Please mark brainliest)

5 0
3 years ago
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what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x
user100 [1]

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

--------------------

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

5 0
3 years ago
25 (a square) - 4 (b square) + 28bc - 49 (c square)
LUCKY_DIMON [66]

Answer:

(5a - [2b - 7c]) and (5a + [2b + 7c])

Step-by-step explanation:

Factor 25a^2 - 4b^2 + 28bc - 49c^2.

Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable.  Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:

- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or

                                        -(2b - 7c)^2.

Thus, the original  25a^2 - 4b^2 + 28bc - 49c^2  looks like:

                               [5a]^2 - [2b - 7c]^2

Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b).  Applying this pattern to the problem at hand, we conclude:

Thus,   [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])

8 0
3 years ago
Remove the parentheses and simplify 3a^2-6ab+3b^2-5(-6a^2+7ab-7b^2) 
Oksi-84 [34.3K]
3a^2-6ab+3b^2-5(-6a^2+7ab-7b^2)=\\\\3a^2-6ab+3b^2+30a^2-35ab+35b^2=\\\\33a^2-41ab+38b^2
4 0
3 years ago
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