(x-4)² + (x-2)² = x²

(x² - 8x + 16 ) + (x² - 4x + 4) = x

2x² -12x + 20 = x

2x²-12x + 20 - x = 0

2x² - 13x + 20 = 0

(2x-5) (x-4) = 0

2x-5 = 0

2x = 5

x = ⁵/₂

x-4 = 0

x = 4

so x₁ = ⁵/₂ , and x₂ = 4

4 0

2 years ago

GAMING In a video game, the user navigates a character across an unknown land using a map. On the map, the distance between the

soldi70 [24.7K]

The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

<h3>How to calculate the actual distance</h3>

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

$Total =2cm + 8cm + 7cm$

$Total =17cm$

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

$B' =4km$

So, we have:

$Scale = B : B'$

$Scale = 8cm : 4km'$

Represent the required actual distance with x.

So, we have:

$17cm : x = 8cm : 4km$

Express as fraction

$\frac{x}{17} = \frac 48$

Multiply both sides by 17

$x = \frac 48 * 17$

$x = 8.5$

Hence, the actual distance travelled is 8.5 km