Answer:
The other endpoint would be (-13, -11)
Step-by-step explanation:
In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.
(1 + Px)/2 = -6 ----> multiply by 2
1 + Px = -12 -----> subtract 1
Px = -13
Now we can do the same with the y values.
(7 + Py)/2 = -2 ----> multiply by 2
7 + Py = -4 ------> subtract 7
Py = -11
Answer:
It has 2 solutions
Step-by-step explanation:
Solution 1
-17(y - 2) = -17y + 64 - 17(y - 2)
Solution 2
-17y + 64 - 17(y - 2) = -17y + 64
Answer:
Completing the square we get: 
and factoring the term we get: 
Step-by-step explanation:
We need to complete the square for the expression 
For completing the square the expression would be of form 
For given expression we have to add (2)^2 and subtract to make it complete the square.
Now, we have to factor the polynomial using formula 
So, 
Completing the square we get:
and factoring the term we get:
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
= (1/5) * 72.60
= 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
= 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
= 696.96/100
= 6.969
= 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
= 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.
