answer choices, make t = 1 in (A) and (D) and eliminate any choice that does not equal1,287.06. Only (A) works.- B You can start by Plugging In a value for x; try x = 4. Because angle AOB is 120° and the
triangle is isosceles, angles A and B are each 30°. Cut triangle AOB in half to make two 30-60-90 triangles with a hypotenuse of 4 and legs of 2 and 2 . The leg with length 2 lieson chord AB. Double it to get the total length: 4 or just x, which is(B) when you put x= 4 into the answer choices.- C Whenever there are variables in the question and in the answer choices, think Plugging In.
The question states the value of g, but it is a constant and a weird one at that. Pick numbersfor all the variables that will make the math more straightforward. If v = 4 and g = 2, then t= = 4 · sin(θ), and R = = 8 ·sin(2θ) = 8 · sin(2θ). Plug these values into the answer choices to see which equationworks. Choice (A) becomes 4 = . Simplify the right side of the equationto get 4 = , or 4 = . This will not simplify further, so eliminate(A). Choice (B) becomes 4 = . Simplify the right side of the equation toget 4 = or 4 = . Eliminate (B). Choice (C) becomes 4 = . Distribute the 2 to get 4 = . Reduce the equation
to get or 4 = or 4 = 4. The correct answer is (C).
D ia = 1 when a is a multiple of 4. Using your exponents rules, 413 + x must also be a
multiple of 4. Plug in the answers and look for what makes 413 + x a multiple of 4. Only
(D) works.
C The zero of g is the value of the variable, in this case x, when the equation is set to 0. This
is also called the root or solution of an equation. Set the equation to 0 to get 0 = 2x^2 – dx –- Plug 6 in for x to get 0 = 2(6^2 ) – d(6) – 6. Simplify the equation to get 0 = 72 – 6d – 6, or