Match the following vector fields with the verbal descriptions of the level curves or level surfaces to which they are perpendicular by putting the letter of the verbal description. number of the vector field. 1. F=2xi+yj+zk
2. F=2i+j
3. F=xi−yj
4. F=xi+yj−zk
5. F=xi+yj−k
6. F=2i+j+k
7. F=xi+yj+zk
8. F=xi+yj
9. F=−yi+xj
10. F=2xi+yj
11. F=yi+x

a. paraboloids
b. hyperboloids
c. ellipsoids
d. spheres
e. planes
f. circles
g. lines
h. hyperbolas
i. ellipses

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer: x=60

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870