Answer :
The distance between (4,6) and (9,15) is √87.
What is distance formula?
The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is
PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.
Given coordinates: (4,6) and (9,15)
Using distance formula:
=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²
= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²
=√[tex](4[/tex]) ² + (9)²
= √16 + 81
=√87.
Hence, the distance between (4,6) and (9,15) is √87 units.
Learn more about distance formula here:
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