Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.
According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.
Equation of a tangent line of a curve is: y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1 f´(x)=(Derivation) f´(x0)= y - 1 = 1/2 ( x - 1 ) y - 1 = 1/2 x - 1/2 y = 1/2 x - 1/2 + 1 y =
(Derivation)
