Answer:
![- 5 \sqrt{113}](https://tex.z-dn.net/?f=%20-%205%20%5Csqrt%7B113%7D%20)
Step-by-step explanation:
Find the magnitude of the complex number
Notice the magnitude is equal to
![u = \sqrt{ {a}^{2} + {b}^{2} }](https://tex.z-dn.net/?f=u%20%3D%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D%20)
where a is the real number and b is the imaginary number.
Substitute
![u = \sqrt{ - 8 {}^{2} + 7 {}^{2} }](https://tex.z-dn.net/?f=u%20%3D%20%20%5Csqrt%7B%20-%208%20%7B%7D%5E%7B2%7D%20%20%2B%207%20%7B%7D%5E%7B2%7D%20%7D%20)
![u = \sqrt{64 + 49}](https://tex.z-dn.net/?f=u%20%3D%20%20%5Csqrt%7B64%20%2B%2049%7D%20)
![u = \sqrt{113}](https://tex.z-dn.net/?f=u%20%3D%20%20%5Csqrt%7B113%7D%20)
Multiply this by -5
![- 5 \sqrt{113}](https://tex.z-dn.net/?f=%20-%205%20%5Csqrt%7B113%7D%20)
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Answer:
12/100 is 0.12
Step-by-step explanation:0. tenths, hundredths, thousandths
The answer is 5.1 if you're looking for s all the work is in the picture