Joe has a rectangular patio that measures 10 feet by 12 feet. he wants to increase the area by 50% and plans to increase each dimension by equal lengths, x. which equation could be used to determine x?

We know that

step 1
find the original area of rectangle

Area of rectangle=L*W-----> 10*12----> 120 ft²

step 2
find the new area
if increase the area by 50%
so 
the new area=120*1.5----> 180 ft²

step 3
find the new dimensions
(10+x) ft x (12+x) ft
new area=(10+x)*(12+x)
180=(10+x)*(12+x)----> 180=120+10x+12x+x²----> 180=x²+22x+120
x²+22x-60=0

using  a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2.454 ft

the answer 
the equation is

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.

1/b^3m^3               i don't know why you couldn't do it yourself its not that hard