Jensen wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.75 square feet. the mirror is 4 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? (2 points) 2x2 + 6x − 19.25 = 0 3x2 + 5x − 19.25 = 0 4x2 + 18x + 0.25 = 0 4x2 + 18x + 20 = 0

The third choice, 4x²+18x+0.25=0, is correct.

The frame will have the same thickness on both sides of the mirror.  Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width. 

The area is found by multiplying the total width and total length:

A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)

Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²

We know that the area is 19.75:
19.75=20+18x+4x²

We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²

In standard form, it will be:
4x²+18x+0.25=0

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

The answer is all about the number 4