We're trying to evaluate a fractional expression here:
The first thing to do, is factor everything we can. The quadratic factors to (x + 1)(x+5) and the expression above that factors to 3(x - 4). 2x + 2 factors to 2(x + 1).
It looks a little complicated now, but if we combine the two we can cancel some stuff.
Still looking complicated, but look, we have (x+1) and (x+4) on the top and the bottom, that means they don't matter and we can get rid of them:
Tada! The area is 6/(x+5). We'd need to know x to go any further!
Need any more explanation?
Answer: f(a-2) = 2a² - 14a + 28
Step-by-step explanation:
f(x) = 2x² - 6x + 8
you can take a-2 and substitute it for each x, which would look like this:
f(a-2) = 2(a-2)² - 6(a-2) + 8
then distribute those in ( )
f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8
combine like terms
f(a-2) = 2a² - 14a + 28
Answer:
Step-by-step explanation:
Here we are given two coordinates and we are required to fin d the distance between them not by using the distance formula but by using Pythagoras theorem.
Let us see how we do that.
We will take the help of graph in this. We draw a line parallel to x axis passing through H (-2,-3) and a vertical line passing through I(3,2)
Let us assume that these two lines intersect at point J whose coordinates will be (-3,-3)
Now using scale of the graph we can see that Distance HJ = 5 units and IJ= 5 units and ΔHIJ makes and Right angle triangle where ∠IJH = 90°
Hence we can apply Pythagoras theorem in this.
Please refer to graph in attachment for further clarification.
If 10% of songs represents 6 songs,
then 100% of songs represents (100 * 6) / 10 = 60 songs
The playlist has a total of 60 songs.