which of the following ordered pair could not be included in this set if it is a function? { (-4, 2), (3, 6), (4, 3), (x, y) }

a) (x, y) = (4, -3)

b) (x, y) = (3, 6)

c) (x, y) = (1, 2)

d) (x, y) = (-3, 6)

Option A) (x, y) = (4, -3)

Step-by-step explanation:

we know that

A function is a relation from a set of inputs (independent variable) to a set of possible outputs (dependent variable) where each input is related to exactly one output

we know that

The set of the function is { (-4, 2), (3, 6), (4, 3), (x, y) }

The ordered pair (x, y) = (4, -3)

could not be included, because for the input value of x=4, the function would have two output values (y=-3,y=3) and remember that each input is related to exactly one output

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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