Answer:
Option A is correct.
The constant of variation is, 
Step-by-step explanation:
The Direct variation says that:
if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.
Given: if y varies directly as x.
By definition of direct Variation:
y = kx where is the constant of variation.
It is also given that: y = -3 and x =2
Solve for k;
-3 = 2k
Divide both sides by 2 we have;
Therefore, the constant of variation is,
Answer:
m = 12.728 or 18/root (2)/2, n = 9
Step-by-step explanation:
To find m, we can use sin(45) and cos(45).
Since sin(45) = root (2)/2 and this equals 9/m.
We set the equation root (2)/2 = 9/m and solve for m.
9 divided by root (2)/2 would give us 18/root (2), or 12.728.
m is 12.728.
Same process for n but we are using cosine this time.
cos(45) = root (2)/2 and this equals n/12.728.
Solving for n would give us root (2)/2 times 12.728.
This gives us that n is 9.
Check the attachment below. Answer: 5/2
2.) 
--> 
So y = -4.
3.) 
Combine like terms:
--> 
Isolate x ---> 
----> 
So x = -2
4.) 
--> 
Combine like terms ---> 
This equation has many possible solutions.
5.) 
--> 
Combine like terms ---> 
----> 
-----> 
So x = -1.
6.) 
Distribute ---> 
This equation has many possible solutions.
Answer:
729 m^3
Step-by-step explanation:
Volume of cube = a^3
a= 9m
a^3= 9^3
hence volume = 729m^3
