Answer:
a) true
Step-by-step explanation:
The bottom-line numbers from synthetic division <em>alternate signs</em>, indicating that -2 is a lower bound. The given statement is true.
__
If the signs were all positive, it would indicate the proposed zero is an <em>upper bound</em>.
__
A graph shows all real zeros are greater than -2.
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):
