<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be
.
Given, sum is
, difference is
and product is
.
⇒ ![a+c=0,b+d=10](https://tex.z-dn.net/?f=a%2Bc%3D0%2Cb%2Bd%3D10)
⇒ ![a-c=-4,b-d=0](https://tex.z-dn.net/?f=a-c%3D-4%2Cb-d%3D0)
![a=-2,c=2,b=5,d=5](https://tex.z-dn.net/?f=a%3D-2%2Cc%3D2%2Cb%3D5%2Cd%3D5)
![(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29](https://tex.z-dn.net/?f=%28a%2Bib%29%28c%2Bid%29%3D%28-2%2B5i%29%282%2B5i%29%3D-4-25%3D-29)
Hence, all three equations are consistent yielding the complex numbers
.
You can set this up as 5(3+4)....then, distribute by multiplying the terms in parentheses by 5. This gives you 15+20, which equals 35.
Answer: .84
Step-by-step explanation:
Answer: Choice A) ![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
Work Shown:
Use the distance formula
Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)
d = distance between the two points
![d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-4-%28-7%29%29%5E2%20%2B%20%283-%28-2%29%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-4%2B7%29%5E2%20%2B%20%283%2B2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%285%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B9%20%2B%2025%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B34%7D%5C%5C%5C%5C)
Extra info: ![\sqrt{34} \approx 5.83](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D%20%5Capprox%205.83)
Answer:
440cm²
Step-by-step explanation:
*Area= (a+b)/2×h
(19+25)/2*20
= _ * 440cm². *_