Question

What is the distance between (-5,-5) and (-9,-2)

Answer 1

A (5)

Explanation:

• The distance is the slope/gradient
• In the pythogaras theorem
  `c^(2) = a^(2) + b^(2)`,

c represents the slope and a and b represent the two shorter sides of the right angled triangle ( x,y)

• x = -9 - (-5 ) = -9 +5 = -4
• y = -2 - (-5) = -2 +5 = 3

`c^(2)` =
`-4^(2) + 3^(2)`

= 16 + 9

= 25,

therefore
`\sqrt{c^(2) }` =
`√(25)`

c = 5