Ume Find the coordinates of the points A and B where the line of x +2y = 10 intersects the curve of
2y^2– 7y + x = 0.

see explanation

Step-by-step explanation:

Given the 2 equations

x + 2y = 10 → (1)

2y² - 7y + x = 0 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 10 - 2y → (3)

Substitute x = 10 - 2y into (2)

2y² - 7y + 10 - 2y = 0

2y² - 9y + 10 = 0 ← in standard form

(y - 2)(2y - 5) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

2y - 5 = 0 ⇒ 2y = 5 ⇒ y =

Substitute these values into (3) for corresponding values of x

y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B

y = → x = 10 - 5 = 5 ⇒ (5, ) → A

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:

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3