Apic measuring 4*6 in is placed inside a frame which has equal width around entire picture. if the area of frame around picture is 63 square inches, what is width of frame?

√22 -2.5 ≈ 2.19 inches

Step-by-step explanation:

If x represents the width of the frame, then the dimensions of the framed picture are (4+2x) by (6+2x). The area of the frame is the difference between the area of the framed picture and the area of the picture:

frame area = 63 in^2 = (4+2x)·(6+2x) - 4·6 = 4x^2 +20x

Dividing by 4, we have ...

x^2 + 5x = 63/4

Completing the square gives ...

x^2 +5x + 6.25 = 22

(x +2.5)^2 = 22

x + 2.5 = √22

x = √22 -2.5 ≈ 2.19 . . . . . inches

The width of the frame is about 2.19 inches. (Exactly √22 -2.5 inches.)

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.