Answer:
slope = - 
Step-by-step explanation:
Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ
To calculate slope m use the slope formula
m = 
with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)
m =
=
= - 
Answer: Option C)1 over 15 minus 1 over x equals 1 over 20
Explanation:
Since, Micah can fill a box with books in 15 minutes.
Therefore, the work done by Micah in one minute= 1/15
Also, Sydney takes the books out puts them on a shelf.
And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes
Therefore, the work done by Micah in one minute when Sydney taking books out of the box= 1/20
Let Sydney alone takes x minutes to take books outsides the shelf.
Then, work done by Sydney in one minute=1/x
Thus, the work done by Sydney( by taking books out of the box)= the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20
⇒1/x=1/15-1/20
⇒1/15-1/20=1/x
⇒1/15-1/x=1/20 is the required expression.
Therefore, Option C is correct.
Answer: y = -1/2
Step-by-step explanation:
Subtract both sides by 7/8
y = 3/8 - 7/8
Then combine like terms
y = -4/8
Then simplify
y = -1/2
Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.
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Answer:
The one with the higher amount they put away
Step-by-step explanation: