Answer:
3 Units
Step-by-step explanation:
Secant RM intersects secant RN at point R.
The secants intersects the circle at points P and Q respectively as seen in the diagram.
To determine the length of RQ, we use the Theorem of Intersecting Secants.
Applying this on the diagram, we have:
RP x RN=RQ X RM
4(4+5)=RQ(RQ+9)
Let the length of RQ=x
Therefore, length of RQ=3 Units
The answer to this question is c
Answer:
13y + 1
Step-by-step explanation:
8y + 5y = 13y
3 - 2 = 1
13y + 1
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
