Answer: B (x,y) --> (x + 4, y - 2)
Step-by-step explanation: When you add -5+4=-1, and when you subtract 2 from 4 it equals to 2, which gives you the second coordinates, this means that x+4 and y-2 is the answer.
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:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
Note: Consider the side of first triangle is TQ instead of TA.
Given:
Triangles TQM and TPN which share vertex T.

To find:
The theorem which shows that
.
Solution:
In triangle TQM and TPN,
[Given]
[Given]
[Given]
Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.
[SAS]
Therefore, the correct option is C.