<u>Given</u>:
Given that the circle with center O.
The radius of the circle is OB.
The chord of the circle O is PQ and the length of PQ is 12 cm.
We need to determine the length of the segment PA.
<u>Length of the segment PA:</u>
We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".
Thus, we have;
Substituting the value PQ = 12, we get;
Thus, the length of the segment PA is 6 cm.
Hence, Option d is the correct answer.
Answer:
A
Step-by-step explanation:
The line cuts the y at positive two. The rise over run of the slope is -3/1, or 3.
Just had a test on these kinds of problems and i got 100.
Hi there,
This is the original inequality equation:
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
Now, we multiply both sides by x + 1:
Then, we multiply both sides by x - 1:
Next, we subtract x² from both sides:
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1 </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1 </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0 </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1 </span><span>(Works in original inequality)
Therefore, the answer to your query is
-1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
Answer:
D
Step-by-step explanation:
add up all the inside angels, you'll get 122, subtract that from the total area of the triangle which is 180. you will have 58 for your missong inside triangle. the outside line makes 180 with the angel we just found, so subtract 58 from 180 and you get 122. check out Khan Academy for help.
