Pls answerFind the distance between (-5, -8) and (-1, -16).Group of answer choices8.9 units9.8 units10.3 units11 unitsWhich of the following is a Pythagorean triplet?Group of answer choices(8, 15, 17)(2, 3, 5)(5, 7, 9)(6, 9, 11)

The distance between the two points is 8.9 units.(8, 15, 17) is a Pythagorean triplet.Step-by-step explanation:Find the distance between (-5, -8) and (-1, -16).Given points are;(-5,-8) and (-1,-16)[tex]x_1 = -5  \ \ \ \ \ \ y_1=-8\\x_2=-1    \ \ \ \ \ \ y_2=-16[/tex]Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}[/tex][tex]Distance=\sqrt{(-1-(-5))^2+(-16-(-8))^2} \\Distance=\sqrt{(-1+5)^2+(-16+8)} \\Distance=\sqrt{(4)^2+(-8)^2} \\Distance=\sqrt{16+64} \\Distance=\sqrt{80} \\Distance=8.94\ units[/tex]Rounding off to nearest tenth,Distance = 8.9 unitsThe distance between the two points is 8.9 units.Which of the following is a Pythagorean triplet?We will apply pythagoras theorem on these sets to determine pythagorean triplet.a²+b²=c²(8, 15, 17)a=8, b=15, c=17[tex]8^2+15^2=17^2\\64+225=289\\289=289[/tex]The given set is a Pythagorean triplet.(2, 3, 5)a=2, b=3, c=5[tex]2^2+3^2=5^2\\4+9=25\\13\neq 25[/tex]The given set is not a Pythagorean triplet.(5, 7, 9)a=5, b=7, c=9[tex]5^2+7^2=9^2\\25+49=81\\74\neq 81[/tex]The given set is not a Pythagorean triplet.(6, 9, 11)a=6, b=9, c=11[tex]6^2+9^2=11^2\\36+81=121\\117\neq 121[/tex]The given set is not a pythagorean triplet.(8, 15, 17) is a Pythagorean triplet.Keywords: Pythagoras theorem, pointsLearn more about Pythagoras theorem at:brainly.com/question/1628795brainly.com/question/1636703#LearnwithBrainly