Answer:

Step-by-step explanation:
Given




Required
Determine the scale factor (k)
Scale factor is calculated using:

In this case, we have:

Make k the subject

Using point A and A'


Factorize the numerator




Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52
Answer:
4/5
Step-by-step explanation:
You can remove the trailing 0s, and you have 0.8
this is equal to 8/10
8 and 10 can be divided by 2
8÷2=4
10÷2=5
thus, you get 4/5
Answer:
16-7x
Step-by-step explanation:
10x-3x+7-6-4x+5
16-7x