Parallel lines are in the same plane, never intersect, and have the same slope.
13 units from 20 could either be 33 or 7; 15 units from -8 could either be 7 or 23.Since 7 satisfy both of the above requirements, Sarah's favorite number is 7. (You could show your work using a number line)
The two possibilities of Neil's favorite number are 26 and -12.
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Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Answer:
2x³-2x²-3x-14
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