Answer:
-3/4
Step-by-step explanation:
To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!
Answer:
x = 5.4
Step-by-step explanation:
The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:
Cos = Adjacent/Hypotenuse
cos(19°) = 5.1/x
x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)
x ≈ 5.4
Answer:
A. ![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,
![\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B8%7D%5Ccdot%20m%3D-1%5C%5C%20%5C%5Cm%3D-%5Cdfrac%7B8%7D%7B7%7D)
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
![2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}](https://tex.z-dn.net/?f=2%3D-%5Cdfrac%7B8%7D%7B7%7D%5Ccdot%20%28-4%29%2Bb%5C%5C%20%5C%5Cb%3D2-%5Cdfrac%7B32%7D%7B7%7D%3D-%5Cdfrac%7B18%7D%7B7%7D)
Therefore, the equation of the line is
![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Answer:
The socks are 40% off, and it is decreased to 60%.
Step-by-step explanation:
:))