Answer:
1/10, 1/4, 2/5, 2/3.
Step-by-step explanation:
Convert the fractions into decimals.
2/5 = 0.4
2/3 ≈ 0.66666
1/4 = 0.25
1/10 = 0.1
Arrange from smallest to largest.
0.1, 0.25, 0.4, 0.6666
Change back to fraction form.
1/10, 1/4, 2/5, 2/3.
The y-intercept is changed from 2 to -4.
That means that the point that the graph crosses the y axis has been moved down by 6.
Since the slope of the line has not changed, this just means the graph of the line will be moved down by 6.
Hope this helps!
Your fortune is "When given a difficult choice, trust your gut. If you don't have one, then close your eyes and hope for the best."
Answer:
1 year and 5 months
Step-by-step explanation:
Answer:
2x^5log=1/6
Step-by-step explanation:
using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses
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
