Answer:
f(-2) = 44
Step-by-step explanation:
Hello there! Lets get started solving this function!
For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!
First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.
Hope this helps! Remember, math is fun!
Answer:
Step-by-step explanation:
So, we know that the center of the circle is at (-6, -7/6).
To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.
Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).
So, find our distance by subtracting our x-values:
Subtract:
So, our distance, which is also our radius, will be 7/6.
Now, we can use the standard form for a circle, which is:
Where (h, k) is the center and r is the radius.
Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:
We can confirm by graphing (using a calculator):
