Melody

Are you the Joker, or the Penguin or the Riddler, or maybe Cat Woman ?

$$90yX^4 -300 yX$$

Convert makes no sense but I can factoris it for you.

$$30*y*XXXX - 30*10*y*X$$

Well you can take the facor 30 our of both terms.

And you can take X out of both terms, And you can take a y out of both terms

so you end up with

$$\\30Xy(XXX - 10)\\\\
=10Xy(X^3-10)$$

ln 4260=x/3

x=3*ln4260

$${\mathtt{3}}{\mathtt{\,\times\,}}{{log}}_{{\mathtt{e}}}{\left({\mathtt{4\,260}}\right)} = {\mathtt{25.071\: \!073\: \!317\: \!790\: \!248}}$$

Yes, 2 is congruent to 4 because they are vertically opposite anges

And YES  1 and 2 are adjacent supplementary angles.

They are adjacent because they share  a commone vertex and a common arm.

adjacent is just a normal English word.  You house is on your property and the adjacent property is the one that shares a fence line with yours. :)

Supplementary means add to 180 degrees

Complementary means add to 90 degrees

You never need to muddle these up because 1 S is mad of 2 C's  .  (one is back to front and on top of the other)   

Do you understand what I mean?  

Draw your triangle first.  put the angle of elevation and the shadow length in the right places.

Marke the opp, hypotenuse and adjacent sides.

Put a circle around the 2 you are going to use.     Which 2 are they? 

Which trig ratio will you use?

Can you do it now?

.125x - 3(x - 7) = 5.125x - 3

There are always lots of ways to do these.

I recognise 0.125 as beint 1/8 so the first thing I would do is multiply everything by 8

$$\\8[.125x - 3(x - 7)] =8[ 5.125x - 3]\\
x-24(x-7) = 41x-24\\$$

Now it is really important to remember the -sign belongs to the 24

-24(x-7) = -24x - - 168 = -24x+128

so

$$\\x-24(x-7) = 41x-24\\
x-24x+168=41x-24\\
-23x+168=41x-24$$

Can you finish it now? 

Make sure you have had plenty of water to drink - that is the main one :)

Rest you eyes and you mind - get off the computer.  Go lay down and listen to some nice music.  

NOT too loud.  LOL

I hope that you feel better soon :)

Add 8 to both sides  

then

divide both sides by 10

You have talk about India to us Rosala.

You have told us of its great depth of history and the wonderful architecture that it boasts.

You have spoken and shown us pictures of its wonderful natural heritage.

Most of all you have spoken of the rich culture of which you are a part.  

The constant festivals and street life that colours your world.  

Many of us are not a part of a World that is like that.  I barely know my neighbours.  We have no street activity.

 I can go out of my way and go into Sydney central district to see some wonderful special events but it does not flow into my quiet well-ordered little suburb.  

Sometimes I have envied you the culture of which you are a part.

Your country is going ahead in leaps and bounds.  You as an Indian citizen have good reason to be proud of the financial and technological advances that have been made.  Not to mention your country's sporting acheivements. :)

I think of Indians as Intelligent, industrious people.  Those that I have met have always been polite and friendly.

Yes India has its problems.  All countries do.  Yes some reforms are worth fighting for.  Not just in India but everywhere.

I see India as a proud, developing country full of history and culture.

Add   12x   to both sides.

subtract 3 from both sides.

then think about what to do next :)