Identify the set of numbers that makes up the domain in the relation ((-2,-2), (0, 2), (2, 4), (3, -6)).

Mathematics

2 answers:

Nikitich [7]3 years ago

6 0

Answer:

The first set, -2,0,2,3 are the domains of this relation.

ZanzabumX [31]3 years ago

6 0

Answer:

The correct answer is:

Option 1: -2,0,2,3

Step-by-step explanation:

When a relation is written in the form of ordered pairs.

In each ordered pair, the first element/coordinate is the input of the function and the second element//coordinate of ordered pair is the output.

The set of inputs is the domain of the relation.

Given relation is:

((-2,-2), (0, 2), (2, 4), (3, -6)).

The first element of each ordered pair is:

-2, 0, 2, 3

Hence,

The correct answer is:

Option 1: -2,0,2,3

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slamgirl [31]

Answer: The correct option is (D) 36.

Step-by-step explanation: We are given to find the value of 'y' that would make OP parallel to LN.

MO = 28 units, OL= 14 units, Pl = 18 units and MP = y = ?

From the figure, we have

if OP ║ LN, then we must have

∠MOP = ∠MLN

and

∠MPO = ∠MNL.

Since ∠M is common to both the triangles MOP and MLN, so by AAA postulate, we get

ΔMOP similar to ΔMLN.

We know that the corresponding sides of two similar triangles are proportional, so

$\dfrac{MO}{ML}=\dfrac{MP}{MN}\\\\\\\Rightarrow \dfrac{MO}{MO+OL}=\dfrac{MP}{MP+PN}\\\\\\\Rightarrow \dfrac{28}{28+14}=\dfrac{y}{y+18}\\\\\\\Rightarrow \dfrac{28}{42}=\dfrac{y}{y+18}\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{y}{y+18}\\\\\\\Rightarrow 2y+36=3y\\\\\Rightarrow y=36.$