Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
Answer:
C
Step-by-step explanation:
Geometrically: if we set a circle at the point of origin and it's radius is one of the points (I used L), then we simple rotate the point 180 degrees around the circle and discover our new coordinate.
doing this for all three points yields C.
Hello.
Firstly, we need to simplify the function:
![\mathsf{f(x) = (3x - 5) \times (x + 9)} \\ \\ \mathsf{f(x) = 3x^{2} - 5x + 27x - 45} \\ \\ \mathsf{f(x) = 3x^{2} + 22x - 45}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29%20%3D%20%283x%20-%205%29%20%5Ctimes%20%28x%20%2B%209%29%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bf%28x%29%20%3D%203x%5E%7B2%7D%20-%205x%20%2B%2027x%20-%2045%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bf%28x%29%20%3D%203x%5E%7B2%7D%20%2B%2022x%20-%2045%7D)
The graph crosses the 'x' axis when y = 0. Ergo:
![\mathsf{3x^{2} + 22x - 45 = 0} \\ \\ \\ \mathsf{\triangle = b^{2} - 4ac} \\ \\ \mathsf{\triangle = 484 - 4 \times 3 \times (-45)} \\ \\ \mathsf{\triangle = 484 + 540} \\ \\ \mathsf{\triangle = 1024} \\ \\ \\ \mathsf{x = \dfrac{-b \pm \sqrt{\triangle}}{2a}} \\ \\ \\ \mathsf{x_{1} = \dfrac{-22 + 32}{6} = \dfrac{10}{6} = \dfrac{5}{3}} \\ \\ \\ \mathsf{x_{2} = \dfrac{-22 - 32}{6} = \dfrac{-54}{6} = -9}](https://tex.z-dn.net/?f=%5Cmathsf%7B3x%5E%7B2%7D%20%2B%2022x%20-%2045%20%3D%200%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20b%5E%7B2%7D%20-%204ac%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20484%20-%204%20%5Ctimes%203%20%5Ctimes%20%28-45%29%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%20484%20%2B%20540%7D%20%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Ctriangle%20%3D%201024%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx%20%3D%20%5Cdfrac%7B-b%20%5Cpm%20%5Csqrt%7B%5Ctriangle%7D%7D%7B2a%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx_%7B1%7D%20%3D%20%5Cdfrac%7B-22%20%2B%2032%7D%7B6%7D%20%3D%20%5Cdfrac%7B10%7D%7B6%7D%20%3D%20%5Cdfrac%7B5%7D%7B3%7D%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cmathsf%7Bx_%7B2%7D%20%3D%20%5Cdfrac%7B-22%20-%2032%7D%7B6%7D%20%3D%20%5Cdfrac%7B-54%7D%7B6%7D%20%3D%20-9%7D)
Therefore, the graph crosses the x axis when x = -9 and 5/3.
Hope I helped.
It is located in Europe. 2nd longest river in Europe.
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).