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sashaice [31]
3 years ago
10

Choose the polynomial that is written in standard form. (1 point)

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0
Standard form is where the degree of each monomial decreases from left to right. Degree can be found by adding the exponents on each variable.

The only one where this is true is the first one.
The degree goes from 7 to 4 to 2
bagirrra123 [75]3 years ago
8 0

Answer:

-3x^5y^2+4x^3y+10x^2

Step-by-step explanation:

A polynomial in two variables is in standard form if its monomial from left to right are arrangerd in descending order. We say that a monomial x^ay^b is greater than a monomial x^{a^{\prime}}y^{b^{\prime}} if a+b > a^{\prime} + b^{\prime} or a+b=a^{\prime}+b^{\prime} \quad \text{and} \quad (a,b)>(a^{\prime},b^{\prime}}) in the alphabetical order.

For example

x^2y>xy \quad \text{since} \quad 2+1>1+1 \\\\x^2y>xy^2 \quad \text{since} \quad 2+1=1+2 \quad \text{and} \quad 2>1

The polynomial -3x^5y^2+4x^3y+10x^2 is in standard form, since x^5y^2 > x^3y >x^2. On the other hand, the polynomial -8xy^2+4x^4y^2+3x^3 is not in standard form since x^4y^2>xy^2.

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777dan777 [17]

Answer:

x = 90, y = 43

Step-by-step explanation:

By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.

Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.

Now that you have two angles out of three, you can solve for the last angle by setting up this equation:

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Add 47 and 90 together.

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Subtract 137 from both sides.

A = 43

x = D and y = A, therefore x = 90 and y = 43.

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Step-by-step explanation:

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