Please help me please I need help with my Algebra homework as soon as possible please I am so tired and stressed

Question

Which points on the graph shown are within 5 units of the point (4, −3)?

   A.) P, Q, R

   B.) N, O, P

   C.) R, S, T

   D.) L, M, N

Answer 1

Hello, Mandy,

Mark M. suggested a compass, which is basically what I did, but I used an online grahing calculator, instead. It will draw functions, so we need the equation for a circle with radius 5 and center (4,-3). The equation for a circle can be determined by the formula (x-h)² + (y-k)² = r², where r is the radius, and (h, k) is the center, 4,-3 in this case.

The equation we can plot is (x-4)² + (y+3)² = 5². I then added the points M - T), on the same graph.

The graph is too large to fit here. I suggest going online to Desmos and plot it yourself. I find points P, Q, and R to be within a radius of 5 from (4,-3).

Bob