Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
3/4=36/48 so 36 pieces can be made from the metal rod. Hope this helps!
Well, if the elevation is 45 degrees, the height of the tree and the distance to the truck are the same.
The elevation is more than that, so the distance to the truck is less than the height of the tree.
The only answer that reflects that is D.
My guess is 59.49 meters, you add all 4 of the distances together to get the total from that one day. Hope this helps :)
The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
<h3>How to represent a linear equation?</h3>
The situation forms a linear equation. Therefore,
y = mx + b
where
Therefore, let's model the equation linearly,
where
- b = number of books bought
She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
learn more on linear equation here: brainly.com/question/11897796
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