You are building a new house on a cartesian plane whose units are measured in miles.
your house is to be located at the point (2,0). unfortunately, the
existing gas line follows the curve y=√16x2+5x+16.
it costs 400 dollars per mile to install new pipe connecting your house to the existing line.
what is the least amount of money you could pay to get hooked up to the system?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

Use the distributive law to multiply. 3(4x + 5y + 6)

Give the functions f(x) = |x + 2| - 3, what is the domain? a,b,c, or d all real numbers x > 2 x < -2 all real numbers and x cannot equal to 2