The graph of y > 1/2x - 2

is shown. which set contains only points that satisfy the inequality?

a) {(6, 1), (-1, -3), (4, 4)}

b) {(1, -1), (-3, -3), (2, 4)}

c) {(1, -1), (-3, -3), (4, -2)}

d) {(-1, -3), (-3, -3), (2, 4)}

The answer to your question is letter B because the three points satisfy the inequality.

Step-by-step explanation:

Process

1.- Evaluate each point in the inequality, if the point satisfies the inequality that is the answer

                                             y > 1/2x - 2

A) {(6, 1), (-1, -3), (4, 4)}

                                            1 > 0.5(6) - 2

                                           1 > 3 - 2

                                           1 > 1                This option is wrong because

                                                                    1 = 1

                                           -3 > 0.5(-1) -2

                                           -3 > -0.5 - 2

                                           -3 > -2.5        This option is also wrong -3 < -2.5

I do not evaluate point A because the first two points do not satisfy the inequality.

B) {(1, -1), (-3, -3), (2, 4)}

                                            -1 > 0.5(1) - 2

                                             -1 > 0.5 - 2

                                             -1 > -1.5      This option is correct

                                             -3 > 0.5(-3) -2

                                            -3 > -1.5 - 2

                                            -3 > -3.5      This option is correct

                                            4 > 0.5(2) -2

                                            4 > 1 - 2

                                            4 > -1         This option is correct

I do not evaluate points c and d because the correct answer is letter B.

C) {(1, -1), (-3, -3), (4, -2)}

D) {(-1, -3), (-3, -3), (2, 4)}

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: