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ExtremeBDS [4]
3 years ago
12

Which expressions are monomials?

Mathematics
2 answers:
noname [10]3 years ago
5 0

Answer:

A,C,E

Step-by-step explanation:

Nimfa-mama [501]3 years ago
4 0

Monomials are the expressions with one terms.

A.) -4+6 = 2

Since, it has only one term. Therefore, it is a monomial.


B.) b+2b+2 = 3b+2

Since, it has two terms. Therefore, it is not a monomial.


C.) (x-2x)^2 = (-x)^2=x^2

Since, it has only one term. Therefore, it is a monomial.


D.) \frac{rs}{2}

Since, it has only one term. Therefore, it is a monomial.


E.) 36x^2yz^3

Since, it has only one term. Therefore, it is a monomial.


F.) a^x

Since, the variable is in the power. So it is not a monomial.


G.) x^\frac{1}{3}

Since, the power is not a integer. Therefore, it is not a monomial.


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Vikentia [17]

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Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

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3x - 6 = -2x + 8

Add 2x to both sides of the equation.

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Divide both sides of the equation by 5.

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Find the y-value where these points intersect by plugging this x-value back into either equation.

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Multiply 6 by (5/5) to get common denominators.

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Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

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Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

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The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

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A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

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