In both cases,

(as a consequence of the interesecting secant-tangent theorem)
So we have
10.





(omit the negative solution because that would make at least one of AB or AD have negative length)
11.




(again, omit the solutions that would give a negative length for either AB or AD)
Answer:

Step-by-step explanation:
Set up equation.




Answer:
The third graph is correct for the inequality 2x + 3y > -3
Step-by-step explanation:
The slope of the graph is –2/3.
The y-intercept is –1
The area above the dashed be line is shaded.
To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.
For example: (1,1)
2(1) + 3(1) > –3
2 + 3 > –3
5 > –3 True.
Answer:
The perimeter is 37 inches (3 ft. 1 in.)
Step-by-step explanation:
24 + 13 = 37
12 x 2 = 24
6.5 x 2 = 13