1. Answer: California's admittance to the Union as a free state angered the South because it meant there were more free states than slave states. It also angered them because slaves could escape and go there to be free.
2. Answer: The Compromise of 1850 eased the South's concerns of Congress abolishing slavery after admitting California as a free state because the Fugitive Slave Act was a provision in the compromise that would legally require escaped slaves to be returned to their owners if caught. The compromise also ensured popular sovereignty which allowed individual states to vote on issues.
3. Answer: The Fugitive Slave Act required that escaped slaves that went to the North would have to be returned to their owner in the South. The North rebelled against this law, however.
4. Answer: Georgia's response to the Compromise of 1850 was the Georgia Platform. It said that Georgia would accept the compromise if the North no longer made any attacks on slavery in the South.
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Answer:
It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
They heavily rely on Trade and barter because trade was important for them in South America !
