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1 year ago

Please help thanks and show work

Mathematics

1 answer:

My name is Ann [436]1 year ago

6 0

First find the area of the triangle at the end.

Area of a triangle is 1/2 x base x height.

The triangle is a right triangle with a base of 4 and height of 3

area = 1/2 x 4 x 3 = 6 square cm

Now to find the volume multiply the area of the triangle by the length of the prism.

volume = 6 square cm x 11 cm = 66 cubic cm.

answer: 66 cm^3

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Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

Given expression:

3x² + 6x + 5 - 3x (2 + x)

Expand parenthesis by distributive property:

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

Put like terms together:

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

Concept:

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

Classify the given expression:

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a monomial.

Hope this helps!! :)

Please let me know if you have any questions

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