Answer:
2
Step-by-step explanation:
Answer:
Sin 5/13
Cos 12/13
Tan 5/12
Csc 13/5
Sec 13/12
Cot 12/5
Step-by-step explanation:
Equation of a line that is perpendicular to given line is
.
Equation of a line that is parallel to given line is
.
Solution:
Given line
.
Slope of this line,
= ![\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D)
![$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }](https://tex.z-dn.net/?f=%24%5Ctext%7BSlope%20of%20perpendicular%20line%7D%20%3D%20%5Cfrac%7B-1%7D%7B%5Ctext%7BSlope%20of%20the%20given%20line%7D%20%7D)
![$m_2=\frac{-1}{m_1}](https://tex.z-dn.net/?f=%24m_2%3D%5Cfrac%7B-1%7D%7Bm_1%7D)
![$=\frac{-1}{\frac{4}{7} }](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B-1%7D%7B%5Cfrac%7B4%7D%7B7%7D%20%7D)
Slope of perpendicular line, ![m_2=\frac{-7}{4}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B-7%7D%7B4%7D)
Passes through the point (–7, 5). Here
.
Point-slope formula:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![$y-(-7)=\frac{-7}{4} (x-5)](https://tex.z-dn.net/?f=%24y-%28-7%29%3D%5Cfrac%7B-7%7D%7B4%7D%20%28x-5%29)
![$y+7=\frac{-7}{4} x+\frac{35}{4}](https://tex.z-dn.net/?f=%24y%2B7%3D%5Cfrac%7B-7%7D%7B4%7D%20x%2B%5Cfrac%7B35%7D%7B4%7D)
Subtract 7 from both sides, we get
![$y=\frac{-7}{4} x+\frac{7}{4}](https://tex.z-dn.net/?f=%24y%3D%5Cfrac%7B-7%7D%7B4%7D%20x%2B%5Cfrac%7B7%7D%7B4%7D)
Equation of a line that is perpendicular to given line is
.
To find the parallel line:
Slopes of parallel lines are equal.
![m_1=m_3](https://tex.z-dn.net/?f=m_1%3Dm_3)
![$m_3=\frac{4}{7}](https://tex.z-dn.net/?f=%24m_3%3D%5Cfrac%7B4%7D%7B7%7D)
Passes through the point (–7, 5). Here
.
Point-slope formula:
![$y-(-7)=\frac{4}{7} (x-5)](https://tex.z-dn.net/?f=%24y-%28-7%29%3D%5Cfrac%7B4%7D%7B7%7D%20%28x-5%29)
![$y+7=\frac{4}{7} x-\frac{20}{7}](https://tex.z-dn.net/?f=%24y%2B7%3D%5Cfrac%7B4%7D%7B7%7D%20x-%5Cfrac%7B20%7D%7B7%7D)
Subtract 7 from both sides,
![$y=\frac{4}{7} x-\frac{69}{7}](https://tex.z-dn.net/?f=%24y%3D%5Cfrac%7B4%7D%7B7%7D%20x-%5Cfrac%7B69%7D%7B7%7D)
Equation of a line that is parallel to given line is
.
The line which rises to the left has slope of -1/3 and y intercept of 2 so we have
y = -1/3x + 2
3y = -x + 6
x + 3y = 6
Shading is below and the line is solid so the inequality is
x + 3y ≤ 6
The other line has equation
y = 3x - 1
and inequality is
y ≥ 3x - 1
The answer is B
360° = 120° + 10x + 4x + y
360° = 120°<span> + 14x + y
</span>240° = <span>14x + y
</span>240° - <span>14x = y
</span>
That's all I can do