Find the distance between the points with the given coordinates (-8,-6),(4,10)

Mathematics

2 answers:

fgiga [73]3 years ago

8 0

Answer: 20

Step-by-step explanation: Draw lines connecting (-8,-6),(4,10) and a hypotenuse line across so you should have a triangle. (I am assuming you have done this before) Then you use the Pythagorean Theorem to calculate the hypotenuse of the triangle you just drew.

$a^{2} +b^{2} =c^{2} \\12^{2} 16^{2} =400\\\sqrt{400} =20$

Serggg [28]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt ( (x1-x2)^2 + (y1-y2)^2 ) so

Distance = sqrt ( (-8-4)^2 + (-6-10)^2 )

= sqrt( (12)^2 + (-16)^2 )

= sqrt( 144 + 256 )

= sqrt(400)

= 20

Thank you,

MrB

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