This is a simple "solve for x" equation.
5k-2k=12
3k=12
k=4
You should try doing some more on your own, as this will be coming up a lot in the future.
Hi!
The equation of a circle is (x – h)² + (y – k)² = r², with (h, k) being the center, r being the radius, and x + y being left as just x and y.
If the smallest circle has a radius of 3 units, then the next one is 7 units (4 units greater), and then the second largest 11 units, and then the largest 15. That means, for r in our equation, we're going to put in 15.
So we get:
(x – h)² + (y – k)² = 15², or
(x – h)² + (y – k)² = 225
The center of our circle is at (-4, 3). That means h = -4 and k = 3 in our equation. So let's substitute that in.
(x – (-4))² + (y – 3)² = 225
(x + 4)² + (y - 3)² = 225 is our final equation.
Hope this helped!
Add one on both sides of the equation. You would end up with -6=x/3. You would then cross multiply, so -6 times 3 and 1 (the denominator for -6) times x and you would get -18=x
Answer:
b. 
Step-by-step explanation:
Here we are given 
and are asked to simplify it. We are going to apply the law of exponents which says that
Hence applying this rule in our problem we get, where a=y and n=3
Hence our C) Option is correct
Answer:
D
Step-by-step explanation:
2x + 3y = 18
3x - 3y = 12
the 3y and -3y cancel and you add the other like terms
5x = 30
x = 6
plug x back into any of the equations
2(6) + 3y = 18
12 + 3y = 18
3y = 6
y = 2
answer is (6,2)
