The graph of g(x) will be moved 3 units up i believe!!
Answer:
Hello :) 12345678910
Step-by-step explanation:
The answer is 6/14 , this should be correct because it has 14 sections which makes it smaller than the rest!
Answer:
Step-by-step explanation:
Given
Required
The locus of P
Express as fraction
Cross multiply
Calculate AP and BP using the following distance formula:
So, we have:
Take square of both sides
![4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2](https://tex.z-dn.net/?f=4%20%2A%20%5B%28x%20%2B1%29%5E2%20%2B%20%28y%20%2B2%29%5E2%5D%20%3D%20%28x%20-%202%29%5E2%20%2B%20%28y%20-%204%29%5E2)
Evaluate all squares
![4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16](https://tex.z-dn.net/?f=4%20%2A%20%5Bx%5E2%20%2B%202x%20%2B%201%20%2B%20y%5E2%20%2B4y%20%2B%204%5D%20%3D%20x%5E2%20-%204x%20%2B%204%20%2B%20y%5E2%20-%208y%20%2B%2016)
Collect and evaluate like terms
![4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20](https://tex.z-dn.net/?f=4%20%2A%20%5Bx%5E2%20%2B%202x%20%2B%20y%5E2%20%2B4y%20%2B%205%5D%20%3D%20x%5E2%20-%204x%20%2B%20y%5E2%20-%208y%20%2B%2020)
Open brackets
Collect like terms
Divide through by 3
Assuming John does not get premium pay for hours over 40, his pay will be ...
... 43 hours × $9.00 = $387
... - 6.2% × $387 = $23.99
... - 1.45% × $387 = $5.61
... - $15.00
... - 5% × $387 = $19.35
... - 10% × ($387 -19.35) = $36.77
... = $286.28 . . . . net pay after all the deductions
