if 12v=3w and v is not equal 0 then which of the following is equivalent to 2w-8v ?
a 0
b 4w
c -6w
d 2v
d -2v
its A
zero
12v - 3w = 0
3(4v - w) = 0
4v - w = 0
2w - 8v = 2(w - 4v)
Because 4v - w = 0, 2(w - 4v) also must equal 0.
Well, we can start by solving the equation 12v = 3w for v:
12v = 3w
If we divide both sides of the equation by 12, we get:
v = (3/12)w = (1/4)w
Now let's substitute this value of v into the expression 2w - 8v:
2w - 8v = 2w - 8(1/4)w
Simplifying further, we have:
2w - 2w = 2w(1 - 1/4)
2w - 2w = 2w(3/4)
0 = (3/4)(2w)
So, the answer is (a) 0.
To answer this question, we can use the given information that 12v = 3w. Let's solve for v:
Dividing both sides of the equation by 12, we get v = 3w/12.
Simplifying further, v = w/4.
Now, let's substitute this value of v into the expression 2w - 8v:
2w - 8v = 2w - 8(w/4).
Multiplying 8(w/4) can be simplified as 2w:
2w - 2w = 0.
Therefore, the correct answer is (a) 0.
By substituting the expression for v into the given equation and simplifying, we were able to determine that 2w - 8v is equal to 0.