Yo sup??
lenght of base =24
height of triangle= 7
lenght of hypotenuse=25. (by Pythagoras theorem)
sinx=height/hypotenuse
=-7/25
Hence the correct answer is option B
Hope this helps
Answer:
30
Step-by-step explanation:
To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use
![\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%261%5C%5Cc%26d%261%5C%5Ce%26f%261%5Cend%7Barray%7D%5Cright%5D)
and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get
![\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%261%5C%5C-1%26-5%261%5C%5C4%265%261%5Cend%7Barray%7D%5Cright%5D)
. The determinant is equal to
![-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30](https://tex.z-dn.net/?f=-1%20%2Adet%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%5C%5C5%261%5Cend%7Barray%7D%5Cright%5D%20%5C%5C-%201%20%2A%20det%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%5C%5C4%261%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%2B%201%20%2A%20det%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-5%5C%5C4%265%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%20-1%20%2A%20%28-5%2A1%20-%20%281%2A5%29%29-%201%20%2A%20%28-1%20%2A%201%20-%20%284%2A1%29%29%20%2B%201%20%2A%20%28-1%20%2A%205%20-%20%28-5%2A4%29%29%20%5C%5C%3D%20-1%20%2A%28-5-5%29%20-1%20%2A%20%28-1%20-%204%29%20%2B%201%20%2A%20%28-5%20-%20%28-20%29%29%5C%5C%3D%20-1%20%2A%20%28-10%29%20-1%20%2A%20%28-5%29%20%2B1%20%2A%20%2815%29%5C%5C%3D%2010%20%2B%205%20%2B%2015%5C%5C%3D30)
To answer, we set the expression inside the absolute value symbol (II) equal to 0. That is,
x + 2 = 0
Then, we solve for the value of x.
x + 2 - 2 = 0 - 2
Hence, the value of x from the equation above is equal to -2.
Then, substitute the value of x to the equation and drop the absolute value symbol.
y = 4(x + 2) + 7
Substituting,
y = 4(-2 + 2) + 7
y = 4(0) + 7
y = 7
Thus, the vertex of the absolute value equation is equal to (-2,7). The answer is the last choice.
She had 18 to start with because when you multiply 4 by 2 it’s 8, so then you add 8 to 10 which is 18.
Vertical angles because there vertical to each other
