Two identical lines are graphed below. how many solutions are there to the system of equations?
a. one
b. two
c. infinitely many
d. zero

I believe that the correct answer would either be C) Infinitely many, if the lines have exactly the same coordinates, or D) zero, if they are parallel to each other. This is because, the point where both lines cross would be the solution to that question, so if they line up perfectly, you have an infinite amount of solutions, however, if you have two parallel lines, there is no point where they cross each other, so the number of solutions would be zero.

I hope this helped!

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12