Captain Two-Pegs is going to load his pirate ship with cannons. He has room for 10 cannons. He has allotted for 111 pounds of ca
2 answers:
Answer:
C.
Step-by-step explanation:
Let us assume that,
n is the number of 9-pound cannons and,
t is the number of 12-pound canons.
As captain Two-Pegs has room for 10 cannons, so
---------------------------1
He has allotted for 111 pounds of cannon on his ship, so
-------------------2
i.e
Therefore, option 3 is the equations that would be a constraint to Captain Two-Pegs maximizing his cannon load.
You might be interested in
Answer:
The equation represents in R^2 c) a line
The equation represents in R^3 a) a plane
The equation represents in R^3 a) a plane
The equation represents d) a plane
The pair of equations represents a) a line
Step-by-step explanation:
Let's start by studying each question :
1)
In R^2 , with
∈ IR is the equation of all vertical lines
In this case, the only free variable is the variable ''y''
R^2 has two dimensions (x and y) so if we set we will have only one free variable in R^2 (which is a line in R^2). Therefore,
represents a line in R^2
Now, in R^3 we have three dimensions (x, y and z) so if we set we will have only two free variables (y and z) and
will represent a plane (which have two dimensions) in R^3.
2) The equation in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.
The equation in R^3 (given that we have two free variables) represents a plane.
Using the same reasoning, the equation represents a plane (given that it has two free variables : ''y'' and ''x'')
Finally, the pair of equations set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.
The final answer is a) a line.