If x-1/3 = k and k = 3, what is the value of x ? A: 2 B: 4 C: 9 D: 10
Since k = 3, you can substitute 3 for k in the equation _x − 1 3 = k, which gives _x − 1 3 = 3. Multiplying both sides of _x − 1 3 = 3 by 3 giving you x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives you x = 10. Choices A, B, and C are incorrect because the result of subtracting 1 from the value and dividing by 3 is not the given value of k, which is 3.
Area of focus: Standard Equation of a Circle. Find the center and radius of the circle with standard equation x^2+6x+y^2-8y-11 = 0
You have to complete the square (^2) on the x terms and the y terms which will give you (x^2+6x+9)+(y^2-8y+16)= 11+9+16 or (x+3)^2+(y-4)^2 = 36, so that the center of the circle is the point (-3,4), and its radius is 6.
What type of influence can executive power have on laws in the U.S.?
The executive branch, the president, has several type of influences on laws in the U.S. that exist within the guidelines of the separation of power between the three branches of government. One of these influences is the ability to veto (reject) laws passed by Congress. While this power is limited, it is often exercised by Presidents in times of extreme disagreement between the executive and legislative branches. Another one of these influences is in the form of the enforcement of laws by the legislature and interpreted by the judiciary. This is very important because laws without enforcement would essentially hold no baring within the society that its passed in.