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sergey [27]
2 years ago
10

The relation R is shown below as a list of ordered

Mathematics
1 answer:
Dmitrij [34]2 years ago
7 0

Answer:

(1, 4) and (1,3), because they have the same x-value

Step-by-step explanation:

For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.

In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.

Therefore, the relation is not a function anymore if both ordered pairs are included.

<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>

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schepotkina [342]

Answer:

The graph of y\:=\:\frac{1}{2}x  is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.

Step-by-step explanation:

When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.

And the vertically change between two values is also called the rise.

The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.

For example, consider the equation

y\:=\:\frac{1}{2}x

\mathrm{Slope\:of\:}\frac{1}{2}x:\quad m=\frac{1}{2}

Here fore every two units of x-values, one units are moved on the y-axis.

In other words, there is a change of only one unit on the y-axis for every two units of x-values.

The graph of y\:=\:\frac{1}{2}x  is also attached below which is showing this.

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3 years ago
Eric Drew an obtuse triangle. Which of the following could be true for Eric's triangle.
Vika [28.1K]

Answer:

<u>Option:B</u> is the correct answer.

B: possible angle measures of the triangle are 92, 48, and 40 .

Step-by-step explanation:

We know that an obtuse triangle is a triangle whose one angle is a obtuse angle ( i.e. the measure of the angle is greater than 90 degree and less than 180 degrees).

A)

A: all three angles have equal measures

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As we know that the sum of all the angles of a triangle is 180°.

This implies that:

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Hence, option: A is incorrect.

B)

possible angle measures of the triangle are 92, 48, and 40.

This option is correct.

Since there is one angle which is obtuse ( measure 92 degree)

and also such a angle measure is possible in a triangle as sum of all the angles is 180°.

( since 92+48+40=180°)

C)

two of the angles are equal, and the third angle has a measure of 70.

Let the equal angles be represented by 'x'.

As the sum of all the angles is 180°.

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Hence, here also none of the angle is obtuse.

hence, option: C is incorrect.

D)

One angle has a measure of 90, while, the other two angles measure less than 90°.

Such a triangle will not be a obtuse triangle as none of the angle measure is greater than 90°.

Hence, option: D is incorrect.

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Answer:

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Step-by-step explanation:

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