Consider the following sets. u = {ordered pairs on a coordinate plane} a = {ordered pair solutions to y = x} b = {ordered pair solutions to y = 2x} which ordered pair satisfies a ∩ b? a. (0, 0) b. (1, 1) c. (1, 2) d. (2, 1)

Option A is correct.

(0,0) is the ordered pair satisfies

Step-by-step explanation:

Given the following set:

U = {ordered pairs on a coordinate plane}

A = {ordered pair solutions to y=x}

B = { ordered pair solution to y=2x}

Ordered pair: A pair of number used to locate a point on a coordinate plane.

A ordered pair is written in the form of (x , y) where x is the x-coordinates and y is the y-coordinates.

then we have;

U = { (x, y) : x,y  belongs to real number}

A= { (x,y) : (x,y) is a solution of y=x}

B= { (x,y) : (x,y) is a solution of y=2x}

We need to find the ordered pair (x,y) that belong to

Let ordered pair (x,y) belong to

⇒ (x,y)∈ A and (x,y)∈ B

then;

and

⇒ x = 2x

i.e, x = 0

Now, we can substitute x = 0 in any of the equation i.e, , we get

y = o

Therefore, the ordered pair  that satisfying   is, (0, 0)

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

step-by-step explanation:

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