Alandscaper is designing a flower garden in the shape of a trapezoid. she wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. she wants the area to be 225 square yards. the situation is modeled by the equation . use the quadratic formula to find the height that will give the desired area. round to the nearest hundredth of a yard.

Let

x--------> shorter base in yards

y--------> the longer base in yards

z-------> the height in yards

we know that

the area of the flower garden in the shape of a tra-pezoid is

so

--------> equation

--------> equation

--------> equation

Substitute equation   and equation   in equation  

Solve the quadratic equation for z

using a graphing tool

see the attached figure

the solution is

therefore

the answer is

the height of the flower garden in the shape of a tra-pezoid is

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

1696 hundred thousand

step-by-step explanation: