Answer:
See below
Step-by-step explanation:
You will need a calculator for this
tan^-1 (-5.25) = -79.215 degrees
or 280.784 degrees
or 100.784 degrees
Answer:
![y=\frac{2}{3}x-\frac{16}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B16%7D%7B3%7D)
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
we have
(-2,5) and (-4,8)
substitute the values in the formula
![m=\frac{8-5}{-4+2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B8-5%7D%7B-4%2B2%7D)
![m=\frac{3}{-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B-2%7D)
![m=-\frac{3}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B2%7D)
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
![m_1*m_2=-1](https://tex.z-dn.net/?f=m_1%2Am_2%3D-1)
----> slope of the given line
therefore
---> slope of the perpendicular line to the given line
step 2
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
![point\ (-1,-6)](https://tex.z-dn.net/?f=point%5C%20%28-1%2C-6%29)
substitute
![y+6=\frac{2}{3}(x+1)](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B2%7D%7B3%7D%28x%2B1%29)
step 3
Convert to slope intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
isolate the variable y
![y+6=\frac{2}{3}x+\frac{2}{3}](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B3%7D)
![y=\frac{2}{3}x+\frac{2}{3}-6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B2%7D%7B3%7D-6)
![y=\frac{2}{3}x-\frac{16}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B16%7D%7B3%7D)
Answer:
72 ounces of water
Step-by-step explanation:
96 divided by 4 = 24
24 x 3 = 72
A Triangle has the same amount of points and sides, 3.
Put the equation in y=mx+b format
Y=-4x-3y
Y+3y=-4x
4y=-4x
Y=-4/4x
Y=-x
The slope is -1
Hope this helps!