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You are very welcome

150 degrees - 12.50 degrees = 137.50 degrees.

Yes! Every 7th term after the first 13 is a multiple of 13...... ad infinitum!

Tere aren't any.....sorry

What about the 4-digit ones?

thank you 

Try here (and see explanation of equation in lower R)

https://owlcalculator.com/Geometry/Area/Trapezoid-Area/By-lateral-sides-and-bases

That is much more difficult  EP than simply using the perpendicular distance formula.

Thanks for info Melody., I shall try that.

Put the equation into   y = mx + b form:

y = -2x +1      now you hve slope, m      m = -2   the perpindicular slope will be  - 1/m = -1/-2 = 1/2

Now you have a point (3,4 ) and the slope....   can you find the equation of the line with slope = 1/2   and point 3,4  ?

     draw that line..... then you can find the radius of your circle quite easily.....

Remember the equation of a circle?   (x-h)^2 + (y-k)^2 = r^2  ????       (h,k) is the center of the circle......

  Let us know what you find for an answer.....     

Yes, now it is spot on!    

(x-4)²+(y-4)²=16

is it right now ? 

thanks 

You need to use the perpendicular distance formula to find the distance between the line and the point (3,4)

That will be your radius.

Then it is the same as the last question.

Have a go.

Here is the formula with an example of how to use it.

I write click on the object to select it.

Then i wright click and select 'settings'

Go into settings and have a play.   

OR

If you just want to change the colour and not twig other properies, you can click on the triangle to select it and 

a box will appear in the top write corner where you can change the colour.

It took me a long time to be comfortable using Geogebra. Even now I occasionally discover new features.

I think it is a lot of fun to use.

almost

the formula is 

\((x-h)^2+(y-k)^2=r^2\qquad \text{where the centre is (h,k) and the radius is r}\\ \text{so can you spot your error?}\)

thanks ...... i solve yhe question 

(x-4)²+(y-4)²=4

is it right ?

Hi Melody

I've made a start on learning how to draw things with GeoGebra.

In your diagram, I know how to get those rt angle and other angles thingy's, but could you tell me 

how you colour areas ?

How did you make the triangle area AHK yellow, for example ?

I have hidden your other 2 questions for the moment.

Learn from this one and then try the others by yourself.

I will help you if you are prepared to help yourself.

Have you drawn that diagram jet?

Have you drawn this on a rough graph?  That is always a good place to start?

Have you done anything towards finding a solution?

Yes, Andre Massow created this site for us.

His name is at the bottom of the page.

I, for one, am very appreciative.

We do our best to tick off questions and to tick off trolls - sometimes anyway LOL

6!  +  4!

_______        Not  as hard as it seems.....we can split this up as.....

     5!   

6!           4!

__   +   ___    =

5!           5!

6 * 5 * 4 * 3 * 2 * 1            4 * 3* 2 * 1

_______________  +     ____________   =

5 * 4 * 3 * 2 * 1                5* 4 * 3 * 2 * 1

              1

 6   +     __

              5 

thank you!

Just as in your other question  with distiguishable balls and identical boxes, we have

S₂ (5, 1)  +  S₂ (5, 2)  + S₂ (5, 3)   =

     1        +     15         +      25      =

                     41   ways