Solve x2 – 8x = 20 by completing the square. which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}

D is the right answer. The solution set of the given equation={-2,10}.

Explanation:

Given equation:

The standard perfect square trinomial equation is

On comparing this with the left side of the given equation ,we get 2a=-8

⇒a= -4 and

Now to make given equation perfect square add 16 on the both sides, we get

Taking square root on both the sides we get,

add 4 on both sides, we get

⇒x= -6+4 or x=6+4

⇒x=-2 or x=10

Therefore, the solution set of the given equation={-2,10}.

Thus D is the right answer.

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true