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Liono4ka [1.6K]
3 years ago
11

In slope intercept form, y = mx + b, what does each variable represent?

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

y and x are the coordinate on the graph.

m is the slope.

b is the y-intercept.

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The triangles are similar. what is the value of x ?
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\dfrac{32}{4x+12}=\dfrac{8}{15}\\\\ \dfrac{8}{x+3}=\dfrac{8}{15}\\\\ x+3=15\\\\ x=12

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Find the distance between A and B.
Papessa [141]

Answer:

The result is d = 2\sqrt{5} units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2} Where the first coordinate is (x_{1},y_{1}) and  the second coordinate is (x_{2}, y_{2}).

-Use the coordinates A and B for the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

-Then, you solve the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

d = \sqrt{(4)^2 + (2)^2}

d = \sqrt{16 + 4}

d = \sqrt{20}

d = 2\sqrt{5}

So, therefore the distance is 2\sqrt{5} units.

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What is 37% of 150$​
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Answer:

$55.50

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150 (0.37) = 55.5

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If f(x)=1−x^2 +x^3 , then f(−1)=
Andrews [41]

Answer:

f(-1) = -1

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>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 1 - x² + x³

f(-1) is <em>x</em> = -1 for the function f(x)

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(-1) = 1 - (-1)² + (-1)³
  2. Exponents:                                                                                                        f(-1) = 1 - 1 - 1
  3. Subtract:                                                                                                            f(-1) = -1
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3 years ago
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