Answer:
C
Step-by-step explanation:
(3, 2) + (1, 3) = (3 + 1, 2 + 3) = (4, 5)
| (4, 5) | = [tex]\sqrt{4^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex] ≈ 6.4 → C
The magnitude of the sum of the two points (3,2) + (1,3) is equal to 6.4. Option c is the correct option.
To find the magnitude of two points, the sum of two point is equal to the square root of the sum of squares of respective coordinates.
Let the two coordinate point on a coordinate plane is (x₁, y₁) and (x₂,y₂). Thus, the magnitude of sum of two point can be given as,
d=√[(x₁+x₂)²+(y₁+y₂)²]
The magnitude of (3,2) + (1,3) has to be found out. Put the values of coordinates in the above formula as,
d=√[(1+3)²+(3+2)²]
d=√[(4)²+(5)²]
d=√[16+25]
d=√[41]
d=6.4
Hence, the magnitude of the sum of the two points (3,2) + (1,3) is equal to 6.4. Option c is the correct option.
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