answer:The issue may be caused by a combination of the compiler flags and the Makefile configuration. In particular, the `-fsyntax-only` flag is used, which instructs the compiler to check the syntax of the source files without generating object files. To generate object files, remove this flag from the compiler commands in the Makefile. Additionally, ensure that the file paths specified in the Makefile match the actual locations of the source files. If the compiler can't find the source files, it won't generate the corresponding object files, leading to the linker error mentioned. Lastly, verify that the post-build steps are correctly set up to handle any additional requirements, such as assembling or objcopy commands, to ensure a successful build process.

answer:The given series is an infinite geometric series with the first term a = -frac{16}{29} and common ratio r = frac{1}{sqrt{2}} = frac{sqrt{2}}{2}. For the series to converge, the absolute value of the common ratio must be less than 1, which is true since |frac{sqrt{2}}{2}| < 1. The formula to find the sum of an infinite geometric series is S = frac{a}{1 - r}. Applying this formula, we get: S = frac{-frac{16}{29}}{1 - frac{sqrt{2}}{2}} To rationalize the denominator, we multiply both the numerator and denominator by 1 + frac{sqrt{2}}{2}: S = frac{-frac{16}{29}}{1 - frac{sqrt{2}}{2}} cdot frac{1 + frac{sqrt{2}}{2}}{1 + frac{sqrt{2}}{2}} S = frac{-frac{16}{29} cdot left(1 + frac{sqrt{2}}{2}right)}{frac{2 - sqrt{2}}{2}} S = frac{-frac{16}{29} cdot left(2 + sqrt{2}right)}{2 - sqrt{2}} To rationalize the numerator, we multiply both the numerator and denominator by the conjugate of the numerator: S = frac{-frac{16}{29} cdot left(2 + sqrt{2}right) cdot left(2 + sqrt{2}right)}{left(2 - sqrt{2}right) cdot left(2 + sqrt{2}right)} S = frac{-frac{16}{29} cdot left(4 + 4sqrt{2} + 2right)}{4 - 2} S = frac{-frac{16}{29} cdot left(6 + 4sqrt{2}right)}{2} S = frac{-8}{29} cdot left(3 + 2sqrt{2}right) S = frac{-24}{29} - frac{16sqrt{2}}{29} S = frac{-24 - 16sqrt{2}}{29} Therefore, the sum of the series is frac{-24 - 16sqrt{2}}{29}.

answer:After calculating the polygon's characteristics: - Type: Simple - Interior Angles: {angle V_1V_2V_3 = 2.26, angle V_2V_3V_4 = 2.27, angle V_3V_4V_5 = 0.35, angle V_4V_5V_6 = 4.65, angle V_5V_6V_1 = 1.74, angle V_6V_1V_2 = 1.29} (Note: The angle 4.65 might be incorrect due to the polygon being simple, and it should be less than 2pi radians.) - Area: 0.15 (square units) - Perimeter: 1.98 (units) The provided interior angle measurement of 4.65 radians seems unlikely for a simple polygon. It should be verified and corrected to ensure accuracy. If the polygon is simple and the sum of the interior angles is 2pi radians, one angle might have been incorrectly calculated. Please double-check the calculation for the angle angle V_4V_5V_6.

answer:To find x-y, we can simply subtract the corresponding real and imaginary parts of x and y. x-y = left(frac{1}{3}+frac{13 i}{3}right) - left(-frac{13}{3}-frac{23 i}{3}right) = frac{1}{3}+frac{13 i}{3} + frac{13}{3} + frac{23 i}{3} = left(frac{1}{3}+frac{13}{3}right) + left(frac{13 i}{3}+frac{23 i}{3}right) = frac{14}{3} + frac{36 i}{3} = frac{14}{3} + 12 i Therefore, x-y = frac{14}{3} + 12 i. The answer is frac{14}{3}+12 i