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Akimi4 [234]
3 years ago
10

The value of y varies directly with x, and y =-8 when x =2. Write the equation that relates x and y and then find y when x =3.

Mathematics
1 answer:
lesya [120]3 years ago
7 0
I don’t know if this is right but
-4x=y
So if X is 3 then Y would be -12
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Find the distance round to the nearest tenth (-8, -6) (-3,-2)​
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Answer:

\displaystyle d \approx 6.4

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>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-8, -6)

Point (-3, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                   \displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}
  2. [√Radical] (Parenthesis) Add:                                                                        \displaystyle d = \sqrt{(5)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{25+16}
  4. [√Radical] Add:                                                                                              \displaystyle d = \sqrt{41}
  5. [√Radical] Evaluate:                                                                                        \displaystyle d = 6.40312
  6. Round:                                                                                                            \displaystyle d \approx 6.4
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