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3 years ago

Which property of polynomial addition says that the sum of two polynomials

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.

Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.

In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.

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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

Rainbow [258]

Answer:

$\sin L = 0.60$

$tan\ N = 1.33$

$\cos L = 0.80$

$\sin N = 0.80$

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

$MN = 6$

$LN = 10$

First, we need to calculate length LM,

Using Pythagoras theorem:

$LN^2 = MN^2 + LM^2$

$10^2 = 6^2 + LM^2$

$100 = 36 + LM^2$

Collect Like Terms

$LM^2 = 100 - 36$

$LM^2 = 64$

$LM = 8$

Solving (a): $\sin L$

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

Substitute values for MN and LN

$\sin L = \frac{6}{10}$

$\sin L = 0.60$

Solving (b): $tan\ N$

$tan\ N = \frac{Opposite}{Adjacent}$

$tan\ N = \frac{LM}{MN}$

Substitute values for LM and MN

$tan\ N = \frac{8}{6}$

$tan\ N = 1.33$

Solving (c): $\cos L$

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

Substitute values for LN and LM

$\cos L = \frac{8}{10}$

$\cos L = 0.80$

Solving (d): $\sin N$

$\sin N = \frac{Opposite}{Hypotenuse}$

$\sin N = \frac{LM}{LN}$

Substitute values for LM and LN

$\sin N = \frac{8}{10}$

$\sin N = 0.80$

7 0

3 years ago

What is the product of 3 1/5 and 5/8. Use complete sentences in your answer.

vesna_86 [32]

The product of 3 1/5 and 5/8 is 2.

5 0

2 years ago

A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com

nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

Step 1: Write all the data

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

Step 2: Find the total variable cost

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

Step 3: Make the formula for finding x

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

3 0

3 years ago

What is X equal to? PS it’s not 180

AVprozaik [17]

Answer:

x = 47

Step-by-step explanation:

86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka

86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)

2x = 94 (divide both sides by 2 to get x by itself)

x = 47

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2 years ago

PLEASE HELP MARKING BRAINLIEST DRAW WHERE TO PUT THE DOTS !!!

katrin [286]

Answer:

x-intercept: 0,-1 . y-intercept: -1.5,0

Step-by-step explanation:

When given a point-slope equation y-y=m(x-x), the second x and y values mark a point in the line and the m value is the slope (rise over run). Just graph the line from there (in this case the slope would be 2 down and 3 to the right).

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2 years ago