Answer:
d. 
Step-by-step explanation:
![\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B3%20%2B%20i%5D%5E2%20%3D%20%5B3%20%2B%20i%5D%5B3%20%2B%20i%5D%20%3D%209%20%2B%206i%20%2B%20i%5E2%20%E2%86%92%209%20%2B%206i%20-%201%20%E2%86%92%206i%20%2B%208)
Therefore, the d-value is 6.
<u>Extended</u><u> </u><u>Information</u><u> </u><u>on</u><u> </u><u>the</u><u> </u><u>Complex</u><u> </u><u>Number</u><u> </u><u>System</u>
![\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B-1%7D%20%3D%20i%20%5C%5C%20-1%20%3D%20i%5E2%20%5C%5C%20-i%20%3D%20i%5E3%20%5C%5C%201%20%3D%20i%5E4%5C%3A%5Bevery%5C%3Amultiple%5C%3Aof%5C%3A4%5D)
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Yes. That is true I guess. Is there a question you need answering??
First off, consecutive integer and can be written as n, n+1 and n+2
(try putting a number in for n if it does not make sense yet)
The sum of the first and twice the second would be n+2(n+1)
So, our equation becomes
n+2(n+1)=110-3(n+2)
n+2n+2=110-3n-6
3n+2=104
6n=102
n=17
so, our three term are 17,18 and 19
Answer:
-The system has one solution
-Both lines have the same y-intercept
-The solution is the intersection of the 2 lines
Step-by-step explanation:
When you graph the two lines, you get the intersection at (0,5)
The slope of one line is 0.5 and the other is 1.
The lines are not parallel because they intersect, parallel lines would never intersect.
The equations do not graph the same line, they would be one on top of the other and have infinite solutions.
Answer:
To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.
Step-by-step explanation:
To find the volume of a soccer ball,the formula is V=4/3 πr^3,where r is the radius and π=3.14. A regulation soccer ball has a radius of 35cm. find the volume of a soccer ball to the nearest cubic centimeter. This is just some to keep in mind.