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zubka84 [21]
4 years ago
13

What is true about the complex number -5+5i? Choose all correct answers A. It lies in quadrant 4 B. The modulus is 5√2 C. the mo

dulus is 10 D. it lies in quadrant 2
Mathematics
2 answers:
ANTONII [103]4 years ago
6 0
The modulus = sqrt (5^2 + (-5)^2)  = sqrt 50 =  5 sqrt2  so B is true

And as the real part is negative and imaginay is poitive it must lie in Quadrant 2. 
D is also true.
dalvyx [7]4 years ago
4 0

Answer: The correct option is

(D) It lies in Quadrant 2.

Step-by-step explanation:  We are given to select the TRUE statement about the following complex number :

z=-5+5i.

We know that

the modulus of a complex number z = a + bi is given by

|z|=\sqrt{a^2+b^2}.

So, the modulus of the given complex number is

|z|=\sqrt{(-5)^2+5^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt2.

Also, the point in the co-ordinate plane that represents the given complex number is (-5, 5).

This point lies in the second quadrant.

Thus, the correct option is

(D) It lies in Quadrant 2.

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In a company, the ratio of men to the number of woman is 3:2. 40% of the men are under the age of 25. 10% of the women are under
Umnica [9.8K]
Percentage of all the people in the company are under the age of 25=x
We have to use the weighted average.

x=(Σwi * vi )/<span><span>Σ</span> </span><span>wi
w₁=3
w₂=2
v₁=40%
v₂=10%

</span>x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.



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4 years ago
A local store’s clearance rack is full of DVDs selling for $8 each and CDs selling for $6 each. Let x represent the number of DV
kozerog [31]
Let x represent the number of DVDs and y represents the number of CDs.
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7 0
3 years ago
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bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

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For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

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Isolating x from the first equation:

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Substituing x into the second equation:

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With y, find x:

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8 0
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Answer:

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Step-by-step explanation:

Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.

3 0
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