Answer:
X is 3
Step-by-step explanation:
15-x=12
X=15-12
X=3
Here is the equation you should use: x + 2x - 12 = 180
You will be solving for x.
Combine like terms then add twelve to both sides of the equation.
3x = 192
Divide by 3 on both sides of the equation.
x = 64
Now, plug 64 in the equation for x.
2(64) - 12 = 116
Answer:
D
Step-by-step explanation:
H+ is the hydrogen ion concentration.
This problem requires the use of solving log equation.
PH of vinegar is 2.9, lets find the number of hydrogen ions in it by using the equation:
![PH=-Log[H^{+}]\\2.9=-Log[H^+]\\-2.9=Log_{10}[H^+]](https://tex.z-dn.net/?f=PH%3D-Log%5BH%5E%7B%2B%7D%5D%5C%5C2.9%3D-Log%5BH%5E%2B%5D%5C%5C-2.9%3DLog_%7B10%7D%5BH%5E%2B%5D)
Note: Log is normally base 10 if not specified
Now, to solve, we use exponential to log conversion formula shown below:

Now lets solve:
![-2.9=Log_{10}[H^+]\\H^+=10^{-2.9}\\H^+=0.001259](https://tex.z-dn.net/?f=-2.9%3DLog_%7B10%7D%5BH%5E%2B%5D%5C%5CH%5E%2B%3D10%5E%7B-2.9%7D%5C%5CH%5E%2B%3D0.001259)
Now, the PH of milk is 6.6, so we follow same procedure and find the number of hydrogen ion in milk. Shown below:
![PH=-Log[H^{+}]\\6.6=-Log[H^+]\\-6.6=Log_{10}[H^+]\\H^+=10^{-6.6}\\H^+=0.0000002512](https://tex.z-dn.net/?f=PH%3D-Log%5BH%5E%7B%2B%7D%5D%5C%5C6.6%3D-Log%5BH%5E%2B%5D%5C%5C-6.6%3DLog_%7B10%7D%5BH%5E%2B%5D%5C%5CH%5E%2B%3D10%5E%7B-6.6%7D%5C%5CH%5E%2B%3D0.0000002512)
So, to find how many times it is greater, we divide first answer we found by the second answer:

That is about 5000 times, answer D is right.
Answer:
(x−4)² + (y−5)² = 36
Step-by-step explanation:
The equation of a circle is:
(x−h)² + (y−k)² = r²
where (h, k) is the center and r is the radius.
If the center is (4, 5) and the radius is 6, then the equation is:
(x−4)² + (y−5)² = 6²
(x−4)² + (y−5)² = 36
pretty sure it is C
but i am very good at math