Answer:
the modulus of the complex number -3 + 5i, rounded to the nearest tenth, is approximately 5.8.
Explanation:
For the complex number -3 + 5i, the modulus is given by:
| -3 + 5i | = √((-3)^2 + 5^2)
| -3 + 5i | = √(9 + 25)
| -3 + 5i | = √34
Rounding √34 to the nearest tenth, we get:
| -3 + 5i | ≈ 5.8
Therefore, the modulus of the complex number -3 + 5i, rounded to the nearest tenth, is approximately 5.8.