Respuesta :
Answer:
17
Step-by-step explanation:
√(3-(-5))²+(-8-7)²
√(3+5)²+(-15)²
√8²+225
√64+225
√289
=17
The distance between two points L(-5, 7) and M(3, -8) is 17 units.
What is distance ?
Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here Distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Distance = [tex]\sqrt{(3-(-5))^{2} + (-8-7)^{2} }[/tex]
D = [tex]\sqrt{8^2+15^2}[/tex]
D =[tex]\sqrt{64 + 225}[/tex]
D = [tex]\sqrt{289}[/tex]
D = 17 units
Thus, the distance between two points L(-5, 7) and M(3, -8) is 17 units.
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