Answer:
(-2, 4)
Step-by-step explanation:
When you reflect a point over y=1, the location of the new y coordinate must have the same distance away to y=1 as the previous point. (In this case, (1 - - 2) = 3, and 4 - 1 = 3)
Answer:
The system of equations representing the situation are


with solutions


Step-by-step explanation:
Let us call
the number of associates and
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are


And the solution to this system is found by solving for
in the second equation and substituting its value in the first equation:






We put this value into
and solve for 


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|12x + 1| = 10
Remove the absolute value term and make two equations:
12x +1 = 10
12x +1 = -10
Now solve for both x values:
12x +1 = 10
Subtract 1 from both sides:
12x = 9
Divide both sides by 12:
x = 9/12
12x +1 = -10
Subtract 1 from both sides:
12x = -11
Divide both sides by 12:
x = -11/12
The answer would be (-11/12, 912)