Answer:
-6.5
Step-by-step explanation:
-2(p - 1) = 15
-2p + 2 = 15
-2p = 13
p = -6.5
Answer:
120x3 = 360
Step-by-step explanation:
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

Answer:
72 sides
Step-by-step explanation:
The sum of the angles of a polygon with n sides is (n−2) × 180
Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n
Each angle is equal to 175
(n−2) × 180 / n = 175
Multiply each side by n
(n-2)180 = 175n
Distribute
180n -360 = 175n
Subtract 180n from each side
180n-180n-360 = 175n-180n
-360 = -5n
Divide each side by -5
-360/-5 =-5n/-5
72 = n
There are 72 sides