Q: Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? Show your work.

Respuesta :

Answer:

The answer to your question is 7.8 mi

Step-by-step explanation:

Data

H (4,3)

G (10, 8)

Process

1.- Use the distance between to points formula to find the distance

        dHG = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

x1 = 4       y1 = 3

x2 = 10    y2 = 8

2.- Substitution

         dHG = [tex]\sqrt{(10 - 4)^{2} + (8 - 3)^{2}}[/tex]

3.- Simplification

         dHG = [tex]\sqrt{6^{2} + 5^{2}}[/tex]

         dHG = [tex]\sqrt{36 + 25}[/tex]

         dHG = [tex]\sqrt{61}[/tex]

4.- Result

         dHG = 7.8 mi

Answer:

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