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Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).

Sagot :

bhadelsimron19

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

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

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

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