Answer :
Answer:
12.0
Step-by-step explanation:
- The distance betwen the two points is the slope/gradient of that line.
- Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]
- x = a, y = b
- x = 5 - (-4) = 5 + 4 = 9
- y = 5 - (-3) = 5 + 3 = 8
[tex]c^{2} = 8^{2} + 9^{2}[/tex]
= 64 + 81
= 145
[tex]\sqrt{c^{2} } = \sqrt{145}[/tex]
Therefore,
c = 12.0 (3 s.f.)