Complete the coordinate table for the given equation xy=12

The values that we need for x and y must be the factors of 12. therefore, assigning values for x will solve the values of y and vice versa.

Our general equation is xy=12

if x=-1 then,
(-1)y=12
y=12/(-1)
y=-12            ans. (-1,-12)
--
if x=-2 then,
(-2)y=12
y=12/(-2)
y=-6               ans. (-2,-6)
--
if x=-3 then, 
(-3)y=12
y=12/(-3)
y=-4                ans. (-3,-4)
--
if x=1 then,
(1)y=12
y=12/1
y=12               ans. (1,12)
--
if x=2 then,
2(y)=12
y=12/2
y=6               ans.   (2,6)
--
if x=3 then, 
3(y)=12
y=12/3
y=4               ans.   (3,4)

filling up the table
| x |  -3  |  -2  |  -1  |  1  |  2  |  3  |
| y |  -4  |  -6  | -12 | 12 |  6  |  4  |

you can add values on the coordinate table by assigning values for x and you will determine the values of y 

 

step-by-step explanation:

the base of the pyramid has a square base with an edge length of 2 cm, thus a right triangle is formed by half of the length of the base, the height of the pyramid and the slant height.

therefore, using the trigonometry, we have

⇒

⇒

now volume of the pyramid is given by:

v= where ab is the area of the base and h is the height.

v=

v=

since, the answer is close to , therefore option b is correct.