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Alecsey [184]
3 years ago
5

The scale on map is 2 cm =25 miles dave measured the distance to the next town at 5 cm

Mathematics
1 answer:
Slav-nsk [51]3 years ago
8 0

Answer:

Proportion states that the two ratios or fractions are equal

Given the statement:

The scale on map is 2 cm =25 miles.

Dave measured the distance to the next town at 5 cm.

We have to find the what miles away is the next town.

Let x be the distance in miles away is the next town.

By definition of proportion:

\frac{2}{25} = \frac{5}{x}

By cross multiply we get;

2x = 5 \times 25

Simplify:

2x = 125

Divide both sides by 2 we get;

x = 6.25 miles

Therefore, 6.25 miles away is the next town.

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37=-3+5(x+6)<br><br> -13=5(1+4m)-2m<br><br> Show work please *
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Which expression represents the distance between the points (11, 4) and (5,8)?
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Answer:

\displaystyle d = 2\sqrt{13}

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>

  • 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 (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

<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{(5-11)^2+(8-4)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                 \displaystyle d = \sqrt{(-6)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{36+16}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{13}
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3 years ago
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