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Verdich [7]
3 years ago
10

Simplify:

xFormula1" title=" \sqrt{ - 9} \times \sqrt{ - 16} " alt=" \sqrt{ - 9} \times \sqrt{ - 16} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Answer:
-12

Explanation:
Because negative numbers are impossible to simplify, we must use imaginary numbers. i=root -1. So, for example to simplify root -9, separate this into root 9 times root -1 which becomes root 9 times i, simplifying to 3i. Repeat this for root -16 to have 3i times 4i. Multiply and get 12i^2. Then, simplify to 12 times -1 because i^2 is root -1 times root -1 making -1. Finally, the answer is -12.
I apologize for this sloppy explanation as I am currently short on time. If you have any questions feel free to ask in the comments and I will try to answer them later!
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The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land
AfilCa [17]
My late response (haha): First, you would write a proportion.

Step 1: 2496 over 48 = x over 31
(x represents the area of the land that is not fenced).

Step 2: Cross multiply
2496 times 31 and x times 48

Step 3: Calculate
77376 = 48x

Step 4: Divide both sides by 48
77376/48 = 1612
48x/48 = x

Step 5: Write it as a sentence 
The area of the land that is not fenced is 1612 squared meters. 

Hope that helped! Good luck! :]
4 0
3 years ago
How do I find the answers to 17, 19, and 20?
Irina18 [472]

Answer:

17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

... CG = 6 2/3

_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

3 0
3 years ago
Simplify by commbining the like terms. 8y - 3y
11Alexandr11 [23.1K]
8y-3y=5y
5y is the answer
3 0
3 years ago
Read 2 more answers
SIMPLY FIND THE DERIVATIVE. I'M LAZY.
SIZIF [17.4K]

Answer:

3, 2, 8, 3, -12

Step-by-step explanation:

d(2x⁴ - 6x²)³/dx

= 3(2x⁴ - 6x²)²(8x³ - 12x)

6 0
3 years ago
Read 2 more answers
3/8 times what equals 1
horsena [70]
3/8 times 8/3 = 1
Answer=8/3
6 0
3 years ago
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