$(4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i$

8 0

4 years ago

HELP

krok68 [10]

The answer is A, 8.94 seconds.

Since Gary ran 0.93 seconds faster than Brian, his time will have 0.93 seconds more than Brian's. To figure out Brian's time you have to subtract these 0.93 seconds from Gary's time.

9.87 - 0.93 = 8.94

I hope this helps!

4 0

4 years ago

How many natural numbers are there in 500²and501²

Zielflug [23.3K]

Natural numbers between 5002 and 5012 are 5003 5004 5011 there are nine in all

7 0

3 years ago