Hello!
To be perpendicular to x = 4, the line must be y = something. This eliminates answer choices #2 and #4. Also, to pass through the point (.5, 7), the line must be y = 7.
So answer choice #3.
Hope this helps!! Let me know if you have ANY questions.
Answer:
a system of government by the whole population or all the eligible members of a state, typically through elected representatives. The United States is one of the world's developed democracies where third parties have the least political influence. The federal entity created by the U.S. Constitution is the dominant feature of the American governmental system.
Step-by-step explanation:
We know that:
There is also an interesting property that relates the sine and the cosine of an angle:
We can find the cosine of theta using this equation:
![\begin{gathered} \cos ^2(\theta_1)=1-\sin ^2(\theta_1) \\ \cos (\theta_1)=\sqrt{1-\sin^2(\theta_1)} \\ \cos (\theta_1)=\sqrt[]{1-(-\frac{12}{13})^2} \\ \lvert\cos (\theta_1)\rvert=\sqrt[]{1-\frac{144}{169}}=\sqrt[]{\frac{25}{169}} \\ \lvert\cos (\theta_1)\rvert=\frac{5}{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20%5E2%28%5Ctheta_1%29%3D1-%5Csin%20%5E2%28%5Ctheta_1%29%20%5C%5C%20%5Ccos%20%28%5Ctheta_1%29%3D%5Csqrt%7B1-%5Csin%5E2%28%5Ctheta_1%29%7D%20%5C%5C%20%5Ccos%20%28%5Ctheta_1%29%3D%5Csqrt%5B%5D%7B1-%28-%5Cfrac%7B12%7D%7B13%7D%29%5E2%7D%20%5C%5C%20%5Clvert%5Ccos%20%28%5Ctheta_1%29%5Crvert%3D%5Csqrt%5B%5D%7B1-%5Cfrac%7B144%7D%7B169%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B25%7D%7B169%7D%7D%20%5C%5C%20%5Clvert%5Ccos%20%28%5Ctheta_1%29%5Crvert%3D%5Cfrac%7B5%7D%7B13%7D%20%5Cend%7Bgathered%7D)
Since theta is in the third quadrant then its cosine must be a negative number so:
Answer:
Step-by-step explanation:
Answer:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 equal to 5 dimes or a half of dollar.
Step-by-step explanation:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 = 0.50 (half of a dollar)
