Amy and Reno are on a flat surface. Amy is 2 km due (directly) North of Reno. At midday, Amy
starts walking slowly due East at 1 km/hr, while
Reno starts walking slowly due North at 1 km
per hour.

a). Find an expression for the square of the
distance between them after t hours.
b). Prove that this distance has a minimum
value of 2 km.
c). Find at what time this occurs.

idk

step-by-step explanation:

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.