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2. The length of a diagonal of a square is 24 sqrt 2 millimeters. Find the perimeter of the square. If the answer is not a whole number, please leave it in simplified radical form.
And if possible, explain procedure.
yes, it does!
Basically log3(-5) is saying, what number will equal -5 when it is set as the power of three. As you are then doing 3 to the power of this number it will simply equal -5.
I hope this made sense?
for every odd value of x we will have y=-1 and for every even x we will get y=1 such that the graph will literally be the same two points again and again as x increases! As one is a minus number and the other positive it will intercept the x axis everytime x increases by 1! As x will go on to infinity(also it will go to negative infinity at the other side) there will be an infinite amount of x-intercepts (: Hope this helped!
here’s the graph if you’re interested > http://www.wolframalpha.com/input/?i=y%3D%28-1%29%5Ex
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It really depends, but I am pretty sure you’ll be allowed a calculator :) Anyway, if you want to stop struggling, there is an excellent visualization method to make easy calculations even easier. Just picture 20 in two different colors (e.g. I use blue for the units, red for the tens, and green for the hundreds, but you can choose your own), so it should become 0 blue and 2 red. Now picture 34 the same way, like, 4 blue and 3 red. Now if you add the colors it should be much more immediate to do the calculation, because it will be more “descriptive”. Same goes for subtractions, multiplications and divisions, you’ll end up working more with colors and less with numbers, until it will become way easier!
Otherwise, if this wasn’t to work, you can always try picturing stuff with the numbers attached to them (plushes, pool balls, sheep, whatever comes to mind) and then just to the calculations you need! Of course, perhaps you have to make your own “tricks”, but these are the one who generally work for me!
If someone else has ideas, comments, tricks or hints please do feel free to share them!
First lets try putting x=-3 into the equation.
If you work all this out you get 0 on both the top and the bottom, that’s not ideal for us! so we’re gonna have to find a different way to get the limit. Luckily we just figured out that (x + 3) is a factor of both the numerator and denominator!
Dividing top and bottom by (x+3) we get
which if we put x=-3 into again we get:
So it’s limit is two :D Hope this helps!
Lets take an example complex number of: 5-4i
The complex conjugate is when the number’s root is the opposite sign to what it is now.
E.g. 5-4i has a complex conjugate of 5+4i
More examples: 6i has a complex conjugate of -6i
22i - 5 has a complex conjugate of -22i -5
Hope this helps!
Just set it like this:
1/2x+1/6x =12 (supposing that they are fractions of the same number)
You find a first grade equation with one (or possibly two, if the numbers are different) incognitas.
so we know that 4/6x=12 -> 2/3x=12 -> x= 18.
Then you have to write down a fraction that is made by (18+8)/18 [have I understood correctly your question?]
So you have 26/18 -> 13/9