Respuesta :
Answer:
- 13.5 units
Step-by-step explanation:
Use distance formula:
- [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates:
- [tex]d = \sqrt{(-3-7)^2+(-3-6)^2} =\sqrt{10^2+9^2} =\sqrt{181} =13.5[/tex] rounded
- No need of getting confused about using Pythagorean theorem. Question is indirectly saying to apply distance formula
- P(-3,-3)
- Q(7,6)
[tex]\\ \sf\longmapsto PQ=\sqrt{(7+3)^2+(6+3)^2}[/tex]
[tex]\\ \sf\longmapsto PQ=\sqrt{(10)^2+(9)^2}[/tex]
[tex]\\ \sf\longmapsto PQ=\sqrt{100+81}[/tex]
[tex]\\ \sf\longmapsto PQ=\sqrt{181}[/tex]
[tex]\\ \sf\longmapsto PQ\approx 13.4units[/tex]