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3 years ago

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} + {( - 6 - 3)^{2} } }}}$

$\longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {( - 9)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{49 + 81}}}$

$\longrightarrow{ \sf{ \sqrt{130}}}$ units

Hope I helped!

Best regards! :D

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GrogVix [38]

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Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

$\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)$

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$\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)$

The coordinates of the point is (0, -4)

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3 years ago

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?​

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?