Pls answer Find the distance between (-5, -8) and (-1, -16). Group of answer choices 8.9 units 9.8

Question

Pls answer

Find the distance between (-5, -8) and (-1, -16).
Group of answer choices

8.9 units

9.8 units

10.3 units

11 units

Which of the following is a Pythagorean triplet?
Group of answer choices

(8, 15, 17)

(2, 3, 5)

(5, 7, 9)

(6, 9, 11)

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Mia 2 weeks 2021-09-15T01:46:54+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T01:48:04+00:00

    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)

    x_1 = -5  \ \ \ \ \ \ y_1=-8\\x_2=-1    \ \ \ \ \ \ y_2=-16

    Distance = \sqrt{(x_2-x_1)^2+(y_2-y_2)^2}

    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

    Rounding off to nearest tenth,

    Distance = 8.9 units

    The 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

    8^2+15^2=17^2\\64+225=289\\289=289

    The given set is a Pythagorean triplet.

    (2, 3, 5)

    a=2, b=3, c=5

    2^2+3^2=5^2\\4+9=25\\13\neq 25

    The given set is not a Pythagorean triplet.

    (5, 7, 9)

    a=5, b=7, c=9

    5^2+7^2=9^2\\25+49=81\\74\neq 81

    The given set is not a Pythagorean triplet.

    (6, 9, 11)

    a=6, b=9, c=11

    6^2+9^2=11^2\\36+81=121\\117\neq 121

    The given set is not a pythagorean triplet.

    (8, 15, 17) is a Pythagorean triplet.

    Keywords: Pythagoras theorem, points

    Learn more about Pythagoras theorem at:

    • brainly.com/question/1628795
    • brainly.com/question/1636703

    #LearnwithBrainly

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