a car and a truck are moving at thr same speed. the car drives 2 hours . thr truck continue for another half hour at the same sp
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Answer:
Step-by-step explanation:
A line in 2-dimensional space has the following general equation:
Where m is the slope of the line, and b just a number
the slope can be obtaine using th following formula:
The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)
Resulting that
To find the other term we can use any other point, I prefer us the first one so...
We have the following equation:
Resulting that b=18
I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.
<u>Here are your fill-ins:</u>
r = 1 is a zero, so (r-1) is a factor.
r = -1 is a zero, so (r+1) is a factor.
The remainders from synthetic division are 0 each time.
See the attachment for the synthetic division numbers.
_____
The reduced quadratic is ...
... x² -6x +13 = 0
Solving by completing the square, we have ...
... (x -3)² = -4
... x = 3 ± 2i
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The quadratic formula would tell you ...
... x = (-(-6) ± √((-6)² -4(1)(13)))/(2·1) = (6±√-16)/2 = 3±2i
