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HELP. WILL GIVE BRAINLIEST, WHEN ANSWERED.

sophia's house is located at the point (1,1). The library is located at the point (6,9). Each unit on the graph represents 1 mile. How far is the library from Sophia's house? Remember to show your work.

- Plot and label your points on the coordinate plane.

- Use the pythagorean theorem to calculate the diagnal distance between the two points, express your answer as radical and as a decimal rounded to nearest hundredths. Show ALL your work.


HELP WILL GIVE BRAINLIEST WHEN ANSWERED Sophias House Is Located At The Point 11 The Library Is Located At The Point 69 Each Unit On The Graph Represents 1 Mile class=

Sagot :

Answer:

√89 or 9.43 units is the distance between Sophia's house and library

Step-by-step explanation:

H (1 ,1)  ⇒ House

L(6 , 9) ⇒ Library

Leg₁ = OH = 6 - 1 = 5 units

Leg₂ = OL = 9 - 1 = 8 units

 Pythagorean theorem;

            Hypotenuse² = leg₁² + leg₂²

                                   = 5² + 8²

                                    = 25 + 64

                                    = 89

              hypotenuse = √89 units  (radical form)

               hypotenuse = 9.43 units  

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