The correct choice appears to be ...
... A) 4/15
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.
The area of a triangle with vertices known is given by the matrix
M =
![\left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%20x_%7B1%7D%26y_%7B1%7D%261%5C%5Cx_%7B2%7D%26y_%7B2%7D%261%5C%5Cx_%7B3%7D%26y_%7B3%7D%261%5Cend%7Barray%7D%5Cright%5D%20)
Area = 1/2· | det(M) |
= 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
= 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |
Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
= 1/2· | -5·(1) - 4·(-13) - 1·(12) |
= 1/2 | 35 |
= 35/2
Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
= 1/2· | -5·(11) + 4·(-13) - 1·(2) |
= 1/2 | -109 |
<span> = 109/2</span>
The total area of the quadrilateral will be the sum of the areas of the two triangles:
A(ABCD) = A(ABC) + A(ADC)
= 35/2 + 109/2
= 72
Answer:
Step-by-step explanation:
Political parties are organized groups of people with similar ideas or ideology about the function and scope of government, with shared policy goals that work together to elect individuals to political office, to create and implement policies, to further an agenda, and to gain control of the government and the policy-making process. Parties gain control over the government by winning elections with candidates they officially sponsor or nominate for positions in government. Political parties nominate candidates to run many levels of government including the national level, Congress, and the presidency; but, they nominate for state and local levels as well. They also coordinate political campaigns and mobilize voters.
Political parties are points of access/linkage institutions available to the public, though they are not themselves government institutions. Neither interest groups nor political parties are directly mentioned in the U.S. Constitution. Where interest groups often work indirectly to influence our leaders, political parties are organizations that try to directly influence public policy through nominating and officially sponsoring members who seek to win and hold public office. This is a key difference. Interest groups do not officially nominate or nominate candidates for public office, although they may support them politically and even contribute dollars to their campaign.
Parties accomplish this by identifying and aligning sets of issues that are important to voters in the hopes of gaining support during elections. In this respect, parties provide choices to the electorate, something they are doing that is in sharp contrast to their opposition. These positions on these critical issues are often presented in campaign documents or political advertising. During a national presidential campaign, they also frequently reflect the party platform, which is adopted at each party’s presidential nominating convention every four years.
If successful, a party can create a large enough electoral coalition to gain control of the government. Once in power, the party is much more likely to be able to deliver, to its voters, the policy preferences they choose by electing its partisans to the government.Political parties organize political campaigns to win public office for those they nominate.
link to learning
Answer:
Research shows that many students who leave school without finishing year 12 will: earn less money when they start work. be more likely to have long periods of unemployment. be less likely to return to study later in life.١٢/١٠/٢٠١٨
Step-by-step explanation:
