Answer:
Vertical is straight up and down line or object
Perpendicular is more at an angle of 90 degrees to a line, plane, or surface ect
Answer:
y=-6x+8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
We know a point (2,-4) and a slope -6.
We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.
-4=-6(2)+b
multiply
-4=-12+b
add 12 to both sides
8=b
the y intercept is (0,8)
Now we know what b is, so we know what the full equation is:
y=-6x+8
hope this helps!
Answer: 2500 grams
Step-by-step explanation: 2.5 x 1000 = 2500
The rational root theorem is used to determine the possible roots of a polynomial
The possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
The leading coefficient (p) is given as:
![p = -8](https://tex.z-dn.net/?f=p%20%3D%20%20-8)
The constant term (q) is given as:
![q= -3](https://tex.z-dn.net/?f=q%3D%20-3)
Using rational root theorem, the possible roots are:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
The roots of p and q are:
![-8 = \pm 1, \pm 2, \pm 4, \pm 8](https://tex.z-dn.net/?f=-8%20%3D%20%5Cpm%201%2C%20%5Cpm%202%2C%20%5Cpm%204%2C%20%5Cpm%208)
![-3 = \pm 1, \pm 3](https://tex.z-dn.net/?f=-3%20%3D%20%5Cpm%201%2C%20%5Cpm%203)
So, we have:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
Substitute known values
![Roots = \pm\frac{1,3}{1,2,4,8}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7B1%2C3%7D%7B1%2C2%2C4%2C8%7D)
Divide
![Roots = \pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Hence, the possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Read more about rational root theorem at:
brainly.com/question/10937559