Why do you think adding and subtracting polynomial expressions is like adding and subtracting

Mathematics

1 answer:

seropon [69]3 years ago

7 0

Answer:

Polynomials are <em>closed</em> under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we <em>always</em> get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:

Two integers gives you another integer
Two rational numbers gives you another rational number
Two real numbers gives you another real number

And it works the same with polynomials!

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What is the length of EF?

pantera1 [17]

Answer:

(a) 3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

<h3>compare angles</h3>

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

<h3>compare sides</h3>

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

EF > DE

EF > 3

Only one answer choice satisfies this inequality.

EF = 3.8

<em>Additional comment</em>

If you want to do the actual computation, we have ...

EF/sin(D) = DE/sin(F)

EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828