As always, the "unit rate" can be written two ways. You have not specified which one you want.
.. (30 lb)/(1/3 ac) = 90 lb/ac
.. (1/3 ac)/(30 lb) = (1/90) ac/lb
Answer with Step-by-step explanation:
We are given that
and
are linearly independent.
By definition of linear independent there exits three scalar
and
such that

Where 

We have to prove that
and
are linearly independent.
Let
and
such that





...(1)

..(2)

..(3)
Because
and
are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)


From equation (1) and (2)

Hence,
and
area linearly independent.
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.
Answer:
67.5cm^2
Step-by-step explanation:
area of a triangle is 0.5xaxb