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PilotLPTM [1.2K]
4 years ago
6

What is the largest possible product of two odd integers whose sum is 42?

Mathematics
1 answer:
Mandarinka [93]4 years ago
3 0
441. 

You can tell this because the largest area of any rectangle is when it is a square. Even sides will always produce the greatest area. Thus, 21 and 21 would be the best numbers to use. 
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If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
3 years ago
This exercise uses, the population growth model
timofeeve [1]

P is equal to 8700% for population x time in hours.

<h3>What is population growth model?</h3>

P is equal to 8700% for population x time in hours. 2Ae%5E%28kx%29

K's model must be solved. ln%28p%29=ln%288700%29%

2Bkx%2Aln%28e%

29\skx%

2A1=ln%28p%29-ln%288700%

29\sk=%281%

2Fx%29%

28ln%28p%29-ln%288700%29%29

Replace the point (1,10000).

k=%281%

2F1%29%

28ln%2810000%

29-ln%288700%

29%

29\sk=ln%2810000%

29-ln%288700%

29 k=0.13926, which you might only desire to three or maybe even two significant figures.

You may just enter 10000% if you want p after two hours.

And it SHOULD be the same as 8700% (2810000%2F8700%).

Just give it a shot and see, 2Ae%5E%280.139%2A2%29. More particular, the model is highlighted by p=8700%. 2Ae%5E%280.139% 2Ax%29% 29.

Determine how long to double x.

Take the logs on both sides, then find x.

To put it more simply, start with this form: 2=1%2Ae%5E%280.13926%2Ax%29

To learn  more about population growth model refer to:

brainly.com/question/25896797

#SPJ4

5 0
2 years ago
What is the range of f(x)=15(1/3)^x
wel

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

8 0
3 years ago
The price of a toy usually costing £50 is increased to £65<br> Work out the percentage increase
olga55 [171]
30% increase thats the answer


6 0
4 years ago
Read 2 more answers
Find the inverse of the statement "If she is not tall, she will not make the basketball team." A. If she is tall, she will not m
dusya [7]
Hello there!


The correct option would be C. If she is tall, she will make the basketball team.


Hope this helps and have a great day! :)
5 0
3 years ago
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