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shutvik [7]
3 years ago
9

The complex numbers corresponding to the endpoints of one diagonal of a square drawn on a complex plane are 1 + 2i and -2 – i.

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0
Technically the endpoints will be intersection of first endpoint between x=1 and y=-1second endpoint between x=-2 and y=2
so they are 1-i and -2+2i


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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
Determine the slope of a line that is perpendicular to the line 2y = 3x – 6.
miss Akunina [59]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Someone please help me with math!
Ugo [173]

Answer:

B

Step-by-step explanation:

Substitute the following values into the cylindrical volume equation below:

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h = 320 cm

V=πr2h

V=(3.14)(15)^2 (320)

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5 0
3 years ago
Find the volume of the pyramid below.<br> 7.2 in<br> 9.7 in
kumpel [21]

Answer:

23.28 inches (im not sure if this is correct because you need length, height, and width.)

Step-by-step explanation:

<u>lwh</u>

3

4 0
3 years ago
Which of the following equations can be used to find the length of angle LN in the triangle below?
shtirl [24]

Answer:

Option A. LN^{2}=33^{2}-11^{2}

Step-by-step explanation:

we know that

In the right triangle MNL

Applying the Pythagoras Theorem

MN^{2}=ML^{2} +LN^{2}

substitute the values

33^{2}=11^{2} +LN^{2}

LN^{2}=33^{2}-11^{2}

5 0
4 years ago
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