Answer:
Explanation:When dividing fractions, we change the division into multiplication and flip the second fraction.
This means that for the given:
![\frac{3}{j} / \frac{9}{j} = \frac{3}{j} * \frac{j}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bj%7D%20%2F%20%20%5Cfrac%7B9%7D%7Bj%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7Bj%7D%20%2A%20%20%5Cfrac%7Bj%7D%7B9%7D%20)
Now, when multiplying fractions, we multiply the numerators together and the denominators together.
Therefore:
![\frac{3}{j} * \frac{j}{9} = \frac{3j}{9j}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bj%7D%20%2A%20%20%5Cfrac%7Bj%7D%7B9%7D%20%3D%20%20%5Cfrac%7B3j%7D%7B9j%7D%20)
Simplifying the product, we would end up with
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
Hope this helps :)
In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
The equation of a perpendicular line to another, is the
negative reciprocal of the other, or each other, so hmm let's see what's the slope of 3x -5y = -4 then
![\bf 3x-5y=-4\implies 3x+4=5y\implies \cfrac{3x+4}{5}=y\implies \stackrel{slope}{\cfrac{3}{5}}x+\stackrel{}{\cfrac{4}{5}}=y](https://tex.z-dn.net/?f=%5Cbf%203x-5y%3D-4%5Cimplies%203x%2B4%3D5y%5Cimplies%20%5Ccfrac%7B3x%2B4%7D%7B5%7D%3Dy%5Cimplies%20%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B3%7D%7B5%7D%7Dx%2B%5Cstackrel%7B%7D%7B%5Ccfrac%7B4%7D%7B5%7D%7D%3Dy)
so, what is the slope of a line perpendicular to that one then?
1. distributive property
2. commutative property (the order of 8x and -24 is swapped)
3. reflexive property ((8-24) = -16; -16 is substituted for 8-24. I prefer "substitution property".)
4. commutative property (the order of 8x and -16 is swapped)
5. distributive property
The length of the diameter is:
16 metres