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You'll have to tell us the length of the tree's shadow

then tree height will equal

          5.58/10.25  * tree shadow = tree height

Would it be 11.67

Note that  we have two right triangles  formed  by  AK

One is  triangle BAK  and the other is CAK

BC  = BK + CK  =15

Usinfg the Pythagorean Theorem

BA   = sqrt ( BK^2 + AK^2)  =  sqrt  ( 8^2  + 6^2)  = sqrt ( 100)   =  10

And

CA  =sqrt ( CK^2  + AK^2)  =  sqrt ( 7^2 + 6^2)  =  sqrt (85)

So....the   perimeter is  BC + BA  + CA  =  15 + 10 sqrt (85)  =  15 + 10 sqrt (85)

In the right triangle, ABC, M, and N are midpoints of legs AB and BC, respectively. Leg AB is 6 units long, and leg BC is 12 units long. How many square units are in the area of triangle APC?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[AMP] ≅ [CPM]

[NBMP] ≅ [APC]

[AMP] : [CPM] : [NBMP] : [APC] = 1 : 1 : 2 : 2

[APC] = 1/3 [ABC] = 36 / 3

We have a triangle ABC and a point K on segment BC such that AK is an altitude to triangle ABC. If AK = 6, BK = 8, and CK = 7, and then what is the perimeter of the triangle?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Perimeter   P = √(6² + 8²) + 15 + √(6² + 7²)

In triangle ABC,  angle bisectors  AD,CF and BE meet at I. If DI=3, BD=4, and BI=5, then compute the area of triangle ABC.

Hello EinsteinBrain29!

To solve your question, I need the following information:

Point D is the intersection of the bisector AD with the side BC,

or

point D is the point of contact of the inner circle with side BC? Then ID would be the radius of the inner circle.

I ask for a information.

  !

She needs the dimensions of the room    length x width = ........   ft²

 THEN she needs the amount of square feet that a gallon (or a quart) of paint covers......

Use the Quadratic formula to find the roots

a=2       b =-3      c = 27  

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)       then    x = 3/4 +- 3/4 * i sqrt23  

         squaring them results in    9/16 +18/16 sqrt23 i - 9/ 16 * 23       and    9/16 - 18/16 sqrt23 i - 9/16*23

                                            then  adding them =  - 198/8 = -99/4 

6/3000 x 100% =  0.2 % had rxn

nvm, I found it out. it was 60%

Why do you need help so quickly?

Are you doing a test?

Have you left your homework till the last minute and need someone else to do it for you?

Thanks Tiggsy,

At least I know where the numbers come from now.    

This table helped.

PEDMAS is the order of which to do mathematical calculations...the hierarchy so-to-speak:

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

if you count the lines the dots are conected to, and times the numbers together, you will get something like this:

3x3x2x2x2

which equals to 72

so 72 is the answer. 

So I think that since there is just 2 domains we can substitute it in the function, so I(x)=f(-1-1)/(-1-3))= 1/2, and I(x)=f(1-1)/(1-3))=0, so the 2 possible domains for I is 1/2 and 0. Not sure if this is correct or not.

Let  the roots  be  m  and  n

By Vieta

m + n  =  -3/5

mn = 4/5

So

a + b  =   1/m   +  1 /n  =        ( m + n)  / (mn)    =    (-3/5) / ( 4/5)   =   -3/4 

Thanks... I have never heard of Pemdas, but thats probbly becuase im not doing this yet, LOL!

                  -Abi

Simplifying   by distributing the  5  the understood -1 and  the  -4

-15x -10  - x  + 3   =  -16x  -20  +  13  combine like terms

-16x - 7    =   -16x - 7

Note  that   any  x   makes this true.....so....the "solution"  is all real numbers

............so ANY value of 'x' will 'solve' the equation.....

Remember:  PEDMAS

= -15x -10 -x+3   = -16x-20 + 13

  = -16x -7             = -16x -7    

                                                well there it is....both sides are equal !

Rewrite the second polynomial as

-4x^2 + 6x  + 3

So we have

2x^2  + 5x  - 7

-4x^2 + 6x + 3

____________

Can you finish it  ????

Just gather the 'like ' terms   (or 'alike' terms)

2x^2 - 4x^2     +      5x + 6x     +    -7+3

     -2x²              +         11x               - 4

I just want to say I think the other guest is correct but I believe it is 92, since 23*4 = 92 :)

Using   synthetic division

1  [  1      a        b                  c  ]

               1      a + 1        a + b + 1

     _________________________

       1   a + 1   a + b + 1     a + b + c + 1      = 14  

Which  means that

a + b + c     = 13

And

-1  [  1      a         b                    c    ]

               -1      1 - a           a - b - 1

     ____________________________

       1   a  -1   -a + b + 1   a - b + c - 1  = 0

Which means  that

a - b + c   = 1

And

-2 [  1       a         b                     c  ]

              -2       -2a + 4         4a -2b -8

     _____________________________

       1    a -2    -2a + b + 4    4a  - 2b + c - 8  = -18

Which means that

4a  - 2b  + c  = -10

So  we have this system

a + b + c   =13

a - b  + c   =  1

4a - 2b + c  = -10

Subtract  the second equation  from the first

2b  =  12

b  = 6

So the last two equations become

a - 6  + c   = 1   ⇒   a + c    =  7          ( 1)

4a  - 2(6)  + c  = -10  ⇒   4a + c    =  2   ⇒   -4a - c   =  -2     (2)

Add (1)  and (2)  and we get that

-3a  =  5

a  = -5/3  

And

-5/3  + c  =  21/3

c = 26/3

See the graph here  :   https://www.desmos.com/calculator/5x7foeorus