Describe when to use a series and when to use an equation.

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

An equation is used when we have paired sets of data to describe how the values in one pair change when we alter the values in the other set.

On the other hand, a series gives a general formula of determining the value of the nth observation when the values have been arranged in increasing order

Step-by-step explanation:

An equation such as; y = 3x+5 models the relation between the response variable y and the predictor variable x. It tells us how y changes when x is altered by a certain magnitude. The value 3 is described as the slope while 5 is the y-intercept.

On the other hand, a series such as; score = 2 + 3n provides a general formula that can be used to determine the score of the nth individual in a sample or population.

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<u>Step-by-step explanation:</u>

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The distance from E to side AD is 25/13.

<h3>What is a distance?</h3>

The length of the line connecting two places is the distance between them.
If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.

To find what is the distance from E to side AD:

If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
Let's call F the point where E meets side AD, so the problem is to find the length of EF.
By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
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EF/EA = EA/AB (they're corresponding side lengths of similar triangles).

Substitute them with known lengths:

EF/5 = 5/13
EF = 5 × (5/13) = 25/13

Therefore, the distance from E to side AD is 25/13.

Know more about distance here:

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