Consider the given equation
We will solve this equation by completing the square method.
Consider the coefficient of 'x', divide it by '2'. then adding and subtracting the square of this number in the given equation.
Coefficient of 'x' = -8
By dividing it by '2', we get -4
Taking the square of '-4' = 16
Adding and subtracting '16' from the given equation.
So,
This equation shows one of the step used in solving the equation by completing the square method.
Therefore, option 1 is the correct answer.
Answer:
Step-by-step explanation:
For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.
1. Answer (D). By the law of sines, we have in any
2. Answer (C). The law of cosines, accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of and
are reversed.
5. Answer (B). By the law of sines, we have Solving gives
Note that this is the <em>ambiguous (SSA) case</em> of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.