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HELP! (100 POINTS) WILL MARK BRAINLIEST TO WHOEVER THOROUGHLY ANSWERS FIRST.

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 100 POINTS WILL MARK BRAINLIEST TO WHOEVER THOROUGHLY ANSWERS FIRSTsophias House Is Located At The Point 11 The Library Is Located At The Point 69 Each Uni class=

Sagot :

azikennamdi

The distance between the Library and Sophia's house is 9.43 miles. The answer is arrived at using the Pythagorean Theorem.

What is the Pythagorean Theorem?

The Pythagorean Theorem indicates the sum of the square of the sides of all sides of a right-angled triangle is equal to the square on the hypotenuse. That is:

a² +b² = c².

That is assuming the Hypothenus is c, then the formula for finding its length will be:

c = √(a²+b²).

Solution

From the question, we can see that:

  • the height of the triangle plotted on the graph (see attached image) is 8 miles between (6,1 ) and (6,9);
  • The base of the triangle plotted on the graph is 5 miles between (6,1) and (1,1).

To arrive at the Hypothenus (which is the distance between the library and Sophia's house) we say:

H = √(8²+5²)

= √(64+25)

= √89

= 9.43 miles.

Learn more about the Pythagorean Theorem at:

https://brainly.com/question/343682

#SPJ1

View image azikennamdi
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