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5% of  300 000   =    5/100  x  300 000   =   .05 x 300 000 = .......

15 is to 17      as    DF is to 8

15/17 = DF/8

DF =  15/17  *  8 =..........  units

constant of proportionality is y/x so the constant of proportionality is 7

we know that i^2=-1 so we can have the equation -i+1+i+-1+-i which simplifies to  -i+1+i-1-i where i and -1 cancel and the 1 and -1 cancel to get -i

so this equation simplifies to -i

\(-i\)

Use cosine Law

r^2 = 15^2 + 11^2  - 2 (15)(11)cos(36)         solve for r

This happend a lot to me 

Yeah we have the same answer so that means were correct

We all know that you're in the leaderboard

And negative answers

And don't get reported

A={'Chapman': '90 100 85 66 80 55', 'Cleese': '80 90 85 88', 'Gilliam': '78 82 80 80 75 77', Idle: 91, 'Jones': '68 90 22 100 0 80 85', 'Palin': '80 90 80 90'}

print(A)

Yeah

We distribute to get −a^2x+ax^2−ay^2+xy^2 or \(−a^2x+ax^2−ay^2+xy^2\)

we have the graph 

There is some simple circle geometry formula for this.

I am pretty sure I have seen Heureka use it.

You need to find another side first using the Sine rule.

then use the are of a triangle formula    A=1/2 ab sinC

Is that the whole question?

I think some things are missing.

expand it out

then rearrange the pairs  

Then factor again. 

Hint:

One both the factors will be (x-a)

S=1!2!3! .... 100!

S=1*100 * 2*99 * 3*98 * ..... 100*1

S= 100!*100!

If you divide by 1!  then you have a perfect square.    

Logic tells me that no other K will work but that is not a proof.

Anyway, one such number is  k=1

I have drawn this in GeoGebra and got the geometric solution of approx  9.4 (2 decimal places)

This does agree with guests answer.

Here is my pic.

You can click on the grab point G to change the size of the circle an you will see that the answer does not change (while the circle actually exists)

The link works for me too.

EP has answered you.

The range is the set of all possible y values.