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On the coordinate plane shown below, points H and I have coordinates (-2,-3) and (3,2), respectively. Use the Pythagorean theorem to determine the distance between points H and I on the coordinate plane. A)5 B)5?2 C)10 D)25

Respuesta :

calculista

Answer:

Option B [tex]HI=5\sqrt{2}\ units[/tex]

Step-by-step explanation:

Applying the Pythagoras Theorem

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

substitute the given values

[tex]HI^{2}=(2+3)^{2}+(3+2)^{2}[/tex]

[tex]HI^{2}=(5)^{2}+(5)^{2}[/tex]

[tex]HI^{2}=50[/tex]

[tex]HI=5\sqrt{2}\ units[/tex]

Answer:

B

Step-by-step explanation: