What is the sum of 12 – 5i and –3 + 4i?

Mathematics

2 answers:

8090 [49]3 years ago

6 0

12 - 3 =9 and -5i+4i=1i or i so it is {9-i}

diamong [38]3 years ago

5 0

Answer

The sum of 12 – 5i and –3 + 4i is 9- i

Step-by-step explanation:

Given : Two complex numbers 12 – 5i and –3 + 4i

We have to find the sum of 12 – 5i and –3 + 4i

Consider the given complex numbers 12 – 5i and –3 + 4i

Sum is 12 – 5i + ( –3 + 4i )

Apply plus- minus rule $-(-a)=a$ , we have,

= 12 – 5i –3 + 4i

Group like terms ,

= 12 -3 -5i+ 4i

Adding similar elements, we have,

= 9- i

Thus, The sum of 12 – 5i and –3 + 4i is 9- i

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Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

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We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

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