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PSYCHO15rus [73]
3 years ago
12

Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

4x² - 6x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
  2. Combine like terms (x²):                                                                                   4x² + 2y² - 3x + y² - 2x - 3y² - x
  3. Combine like terms (y²):                                                                                   4x² - 3x - 2x - x
  4. Combine like terms (x):                                                                                    4x² - 6x
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X/3 -6 =y<br><br> Solve for x
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Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

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Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
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In the triangle below, 4/5 represents which ratio?
ASHA 777 [7]
<span><u><em>Answer:</em></u>
sin (C)

<u><em>Explanation:</em></u>
<u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>\frac{opposite}{hypotenuse}
<span>
cos (theta) = </span>\frac{adjacent}{hypotenuse}
<span>
tan (theta) = </span>\frac{opposite}{adjacent}<span>

<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>
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4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>\frac{4}{5}<span>

<u>Second option:</u>
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>\frac{4}{5}
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

</span>
8 0
3 years ago
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