<h3>
Answer: n = 9</h3>
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Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
- 30+n = 30+0 = 30
- n/3 = 0/3 = 0
- sqrt(n+16) = sqrt(0+16) = 4
The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
- 30+n = 30+9 = 39
- n/3 = 9/3 = 3
- sqrt(n+16) = sqrt(9+16) = 5
We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
Well first you would have to do the distributive property... d+4d+ 24=-1. Then you would have to combine like terms. -----> 5d+24=-1------> 24- (-1) =25... now divide 5 from 5 and 25. So d=5... I'm pretty sure this is right...
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!
I think the answer would be be C.
Answer:
x²-(i-3)x- 3i
Step-by-step explanation:
What is a third-degree polynomial function P(x) with rational coefficients so that P(x) = 0 has roots −3 and i?
Given the toots of the polynomial to be -3 and i, the factors of the polynomial will be (x+3) and (x-i)
Taking the product
P(x) = (x+3)(x-i)
P(x) = x²-xi+3x-3i
P(x) = x²-(i-3)x- 3i
Hence the required polynomial is
x²-(i-3)x- 3i
