Jake and erica were solving a system of equations. they both noticed that the two lines had the same slope. jake said that because each line in the system had the same slope, the two lines had to be the same, which meant there were infinitely as many solutions to the system. erica disagreed, and said they should also look at the y-intercepts before determining how many solutions there were. who is correct? . a. erica is correct. two lines with equal slopes could be the same line, but only if they have the same y-intercept.. b. jake is correct. two lines with the same slope must be the same.

A. Erica is correct. Two lines with equal slopes could be the same line, but only if they have the same y-intercept.
For example: y=3x+6 is different than y=3x-6

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

Multiply 9 and 67. then multiply 3 with 67. lastly the answer that you got for 9x67 is to be subtracted by the answer you got for 3x67