Final answer:
To solve for the unknowns using the given constants, we apply the quadratic formula for 'x' and substitute known values into appropriate equations for other variables such as 'y' and 'z'.
Step-by-step explanation:
To find the numeric values of the unknowns 'a', 'b', 'c', 'x', 'y', and 'z', we need to utilize the appropriate mathematical formulas and substitute the known values into these formulas. Since the constants are given as a = 1.00, b = 10.0, and c = -200, we can insert these into the quadratic formula to find the solutions for 'x'. The quadratic formula is expressed as: x = (-b ± √(b²-4ac))/(2a).
For other unknowns, such as 'y' and 'z', it's necessary to first identify the appropriate equation that relates these variables. For example, if we have the equation y = a + bx, we can substitute the known values of 'a' and 'b' to find 'y' for any given 'x'. Similarly, to solve for velocity 'v' in terms of 'c', we would use the known relationship given, such as v=0.500c, and solve for 'v' using algebra. Each unknown will have a specific equation or method for its determination.