Equivalent expressions are expressions that have the same value
The equivalent expression of
is ![-16+37i](https://tex.z-dn.net/?f=-16%2B37i)
The expression is given as:
![(4 +7i)(3 +4i)](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29)
Expand the equation
![(4 +7i)(3 +4i) = 4(3 +4i) +7i(3 +4i)](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%204%283%20%2B4i%29%20%2B7i%283%20%2B4i%29)
Distribute the equation, as follows:
![(4 +7i)(3 +4i) = 12 +16i +21i +28i^2](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%2012%20%2B16i%20%2B21i%20%2B28i%5E2)
In complex numbers,
![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
So, we have:
![(4 +7i)(3 +4i) = 12 +16i +21i +28(-1)](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%2012%20%2B16i%20%2B21i%20%2B28%28-1%29)
Evaluate the product
![(4 +7i)(3 +4i) = 12 +16i +21i -28](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%2012%20%2B16i%20%2B21i%20-28)
Combine like terms
![(4 +7i)(3 +4i) = 12-28+16i +21i](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%2012-28%2B16i%20%2B21i)
Evaluate like terms
![(4 +7i)(3 +4i) = -16+37i](https://tex.z-dn.net/?f=%284%20%2B7i%29%283%20%2B4i%29%20%3D%20-16%2B37i)
Hence, the equivalent expression of
is ![-16+37i](https://tex.z-dn.net/?f=-16%2B37i)
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer:
23.56 I feel like is the answer
Step-by-step explanation:
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
She should pick the box which holds 8 pears. 8*27 is exactly 216.
Answer:
543 centimeters or 5 meters 43 centimeters
Step-by-step explanation:
663+224=887
887-344=543