A road construction company is building a highway that is going to include a tunnel that cuts through a mountain. The company overlays their map over a coordinate plane in order to precisely calculate the locations of the entrance and exit of the tunnel. When graphed out, the highway follows the path of h(x)=1/3x and the mountain lies exactly along the function of m(x)=-|x-500|+300. If the highway starts at the origin, what are the coordinates for the entrance and the exit for the tunnel that will have to be drilled through the mountain?

0.32

step-by-step explanation:

2.24/7

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)