∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12
This problem requires the Pythagorean therom.
The distance between them is 7.
Since the distance between them is one more mile than ray's distance from home ray is 6 miles from home.
So rosa is 
So rosa is
miles away from home.
Rosa is about 3.6 miles from home.
Answer:
x ≈ 9.6
Step-by-step explanation:
Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )
Using Pythagoras' identity in the right triangle
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x =
≈ 9.6 ( to the nearest tenth )
y+6=1/3(x-9)
Moved all terms from left to right that doesn't contain y
Y=-6 +1/3x-3
Simplify
Y=1/3x-9
Your answer is c.