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GuDViN [60]
3 years ago
8

A train leaves little​ rock, arkansas, and travels north at 85 kilometers per hour. another train leaves at the same time and tr

avels south at 80 kilometers per hour. how long will it take before they are 660 kilometers​ apart?
Mathematics
1 answer:
expeople1 [14]3 years ago
8 0
S1 = 85 km/h

s2 = 80 km/h

t =?

d= 660

t=d/s

t= 660/(85-80) = 132 hour
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Given:

|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|

Solution:

Complex formula:

|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}

Let us simplify one by one.

|3+4 i|=\sqrt{3^{2}+4^{2}}

           =\sqrt{25}

|3 + 4i| = 5

|3-4 i|=\sqrt{3^{2}+(-4)^{2}}

           =\sqrt{25}

|3 - 4i| = 5

|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}

           =\sqrt{25}

|-3 + 4i| = 5

|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}

           =\sqrt{25}

|-3 - 4i| = 5

Substitute these in the given expression:

|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5

                                                                  =20

The solution of the expression is 20.

8 0
3 years ago
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