Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
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Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
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An example:
Let's say b = 11. This would mean 
becomes 
It would factor to 
since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that 
is a true equation for all real numbers x.
This same idea applies for the other values of b.
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If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get 
The middle term 
has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer: 
Step-by-step explanation:
Given
The force between the two particles is inversely proportional to the distance between them
When the distance is 2 m, the force is 10 N. For 5 m distance, it is
Thus, the force between them is
Rate x time = distance
8r = 460 Divide both sides by 8
rate = 57.5 miles per hour
At that speed (57.5mph) and the distance of 661.25miles we should divide
661.25 miles ÷ 57.5 mph = 11.5 hours
Answer:
n² + 5 = 41 n = 6
Step-by-step explanation:
n² + 5 = 41
n² + 5 - 5 = 41 - 5
n² = 36
What squared equals 36? 6!
6² = 6 * 6 = 36
Check your answer!
6² + 5 = 41
36 + 5 = 41
41 = 41
Have a good night! :)
Answer:
Y=4
Step-by-step explanation:
y intercept means x=0
Y=4
