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Isosceles triangle so      angle U = angle S = 54^o

the triangle's interior angles sum to 180

T = 180 - 54 - 54 = 72 degrees

I AM NOT  totally  sure  about this one, TGO,  but it's an interesting problem......here's  my best attempt

Look at  the image  below  :

Note  that  any point lying  within  triangles  ADE  and  BCF   will be CLOSER  to  a side of  6  than to  a side of 25

Each of  these triangles has  a base of 6  and a height of  3

So....their total  area is  6 * 3   =18

And the total area of  the rectangle  = 25 * 6  =150

So....the  region  that a point  could fall into and  be  closer to a  side of 25  than a side of 6 has an area of :  150   -18 =   132

So....  p  / q   =  132   /150   =  22 /  25

So..... p + q  =   22 + 25  = 47

3 + sqrt 3

        6

I didn't think I could type all of this in clearly.....here is the deriviation:

sqrt 3      *     sqrt 5            =     sqrt 15

sqrt5       *   sqrt 5                          5

Triangle bisector theorem

3 is to 2.25    as 4 is to x

3/2.25 = 4/x

x = 3 units

Hello?i need help :,) my parents wont help me

All of the sides are equal because the 2 angles are the same.

7x+19=11x-89

7x+108=11x

108=18x

x=9

Yay!

The  third  side  must  be > 6cm     and   <  14 cm

So

6 cm < x  < 14cm

We're missing  something  in your question.....

Find the largest value of c  such that  ????  is in the range of f(x) = x^2 - 8x + c.

We  know  an angle , the hypotenuse   and  we  are lookng for the opposite  side to  the  angle.....the  sine is what we  need to find  x

sin 24°  = x /  9

9 * sin( 24° )  =  x   ≈  3.66

Oh ok! That makes much more sense!

Also thanks for not just telling the answer :D I should of specified that earlier I wanted hints not answers

1  True......a polynomial  can have an  even degree  but  not  be symmetrical to the  y axis (ex : 4x^2 - 3x ) 

This polynomial has to be  of an even degree because  both endpoint behaviors are "up"

2  False...the polynomial  has an even degree....if  the polynomial had a  leading negative coefficient,  both endpoint behaviors would  be "down" 

3.  True

4  Also True

(11x-28)+(7x-8)=180

11x-28+7x-8

18x-36=180

18x=216

18x/18=216/18

x=12

Yay!

Using ASA, we can deduce that the triangles sides are:

4.00706 (which is x)

and

9.85173

Yay!

3, 16, 17 is a pythagorean triple

That makes it a right triangle.

Yay!

1. You just need to add up the x^3 terms, which is just x^3+5x^3 = 6x^3, which means the answer is 6.

2. Since both of the polynomials are of degree 4, the largest possible value of the degree of f(x)+a*g(x) is still 4, since multiplying a polynomial by a constant doesn't change its degree.

3. To find the smallest possible degree, try to cancel out the x^4 term. To do that, set b = -1/2. That will make the x^4 term of g(x) equal to -1, which cancels out with the x^4 term of f(x), but notice that the x^2 terms also cancel out. That means the smallest possible degree is 1. 

4. since both of the polynomials are of degree 4, the degree of f(x)*g(x) is just 4+4=8.

5. very similar to question 2, the answer is 11.

6. hint: this is the same question as solving this equation:

28-5+2t=0

f(x)  = x/2  +  1               g(x)  =  3x + 2

a)  f(1)  + g(2)   =  

1/2 + 1  +  3 (2) + 2  =

9 + 1/2   =    19 / 2

b )  We  can solve  this

3x + 2  =  11

3x  = 9

x = 3   =    g^-1 (11)

In other words  (3,11)  is on g(x)   so  (11 , 3)  is on g^-1 (x)

c) We already know g^-1(11)

So   we  can solve  this

x/2  +  1  =  3

x/2   =  2

x =  4   =  f^-1(3)

So     g^-1(11)  - f^-1(3)   =   3  - 4    =    -1

follow up?

1. False, because it is not symmetrical across the y axis.

2. Can't tell, because although it seems like it's false, it could be true if you zoom out enough.

3. True, because the graph goes down and then up at 2 points.

4. Can't tell, because although it seems like it's false, it could be true if you zoom out enough (similar to statement 2).

formula for volume of sphere: v = 4/3 * pi * r^3

r = 6

solving gives us the volume = 288 pi

Two  tangents  drawn to a circle  from  a point outside the circle  have equal lengths.....therefore

    XW   =       XY

7x  - 29  =    2x  + 16

7x - 2x  =  16 + 29

5x  =  45

x  = 45  /  5   =  9

WX =  7(9)  - 29   =  63  - 29  =    34

The circumference  of each circle  =   36 cm

The  radius  of  each   can  be found as

36  =2pi r

r = 36/ (2pi)  = 18/pi

The  combined area  is

2 *  pi  ( r)^2   =

2 *  pi  *  ( 18 / pi) ^2  =

648 / pi   cm^2

Note  that  the  uncut wire would  form a circle   with an area  of  : pi  (36/pi)^2  =  2592/pi cm^2    !!!

thank you!

b_1/b_2 = 4/9.