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olga nikolaevna [1]
2 years ago
12

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

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Answer:

16

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>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Leg <em>a</em> = <em>a</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 20

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            a² + 12² = 20²
  2. Evaluate exponents:                                                                                         a² + 144 = 400
  3. [Subtraction Property of Equality] Isolate <em>a</em> term:                                           a² = 256
  4. [Equality Property] Square root both sides:                                                    a = 16
3 0
3 years ago
Read 2 more answers
The graph of y=e* is transformed as shown in the graph below. Which equation represents the transformed
butalik [34]

Answer:

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Step-by-step explanation:

okay the answer is B. y=e^x+3

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Find the length of side x in simplest radical form with a rational denominator.
alekssr [168]

Answer:

x = \frac{2*\sqrt{3}}{3}

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

tan (30) = \frac{opp}{adj}

tan (30) = \frac{x}{2}

2 * tan (30) = x

2 * \frac{1}{sqrt{3}} = x (tan 30 = 1/√3)

\frac{2}{sqrt{3}} = x

Rationalize

\frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x

\frac{2*\sqrt{3}}{3} = x

4 0
2 years ago
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