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The multiples of 6 are  6 x 1,  6 x 2,  6 x 3,  6 x 4, ...

also:                             6 x 0

and                               6 x -1,  6 x -2,  6 x - 3,  6 x -4, ...

Calculate!

Multiply the number of Euopean countries times the number of Asian countries times the number of North American countries times the number of African countries ...

Notice that f(x) has these four corner points:  A(-4, 4)   B(-1, 0)   C(0, 2)   D(4, -4).

Parts (a) and (b) refer to the function  y =  2f(x)  --  this means that the y-values are multiplied by 2,

so that the new graph will contain these four corner points:  A(-4, 8)   B(-1, 0)   C(0, 2)   D(4, -8).

Take out a piece of graph paper and graph these points and connect them with straight line segments.

Now you can answer parts (a) and (b).

Parts (c) and (d) refer to the function f(2x - 8)  --  this means that the y-values are each 8 less than

the y-values from the graph that you have just drawn; for example, the new coordinates for A are (-4, 0).

Find the other three new points and graph them and connect them with straight line segments.

Then try to answer parts (c) and (d).

Use the Law of Cosines:  A  =  cos^-1[ ( b² + c² - a² ) / ( 2·b·c ) ]

                                             =  cos^-1[ ( 6² + 14² - 9² ) / ( 2·6·14 ) ]

Slope of given line = +2    perpindicular   =   - 1/2

point slope form      (y-g)= -1/2 (x-f)

Guess I did too many steps in my head and lost ya

15 = k 4^r =  k * (2^2)^r    =   k *  2^2r

3 = k 2^r       and 15 = k 2^2r

Multiply first equation by 5

5 k 2^r  = k 2^2r     divide out k

5 * 2^r = 2^2r

log 5 + r log 2   = 2r log 2

log 5 = r (2log2 - log2)

log5 / log 2 = r   = 2.321928095             (and k = 3/5)

3 = k 2^r       and 15 = k 2^2r

Multiply first equation by 5    and equate the two equations

     NOTE:   k 4^2  =  k  (2^2)^r   =  k 2^2r

5 k 2^r  = k 2^2r     divide out k

5 * 2^r = 2^2r             take log of both sides

log 5 + r log 2   = 2r log 2

log 5 = r (2log2 - log2)

log5 / log 2 = r   = 2.321928095             (and k = 3/5)

The geometric "power of a point" theorem states that, for this figure:

     GH · GU  =  GF · GE     --->     (x - 2)(x - 2 + 15)  =  (x - 3)(x - 3 + 19)

                                                           (x - 2)(x + 13)  =  (x - 3)(x + 16)     

Can you finish?

Let's say that there are 10,000 persons in the city.

Since 15% of the citizens are greater than 70 years old: 

   15% of 10,000  =  0.15 x 10,000  =  1500 persons are older than 70

                                           and            8500 persons are younger than 70.

Since 85% of the persons older than 70 are healthy:

   85% of 1500  =  0.85 x 1500  =  1275 persons older than 70 are healthy

                                         and         225 persons older than 70 are not healthy.

Since 20% of the heathy person are greater than 70, this means that 80% of the healthy persons are younger

than 70.  Since 80% is 4 times as great as 20%, there are 4 times as many healthly persons younger than

70 than those older than 70:

   4 x 1275  =  5100 persons younger than 70 who are healthy.

Total number of healthy persons:  1275 + 5100  =  6375

Total number of persons:  10,000.

Probability of selecting a healthy person at random:  6375 / 10000  =  0.6375

x+12 <=  j          j <= 2(x-3)    sub in for 'j'

x+12 <= 2 (x-3)

Since the triangles are similar, that means the ratio between each of the sides will be same.

You can find that the ratio between sides is 2:7 (by comparing AB to XY and BC to YZ).

Since we're tryna find N, you need to divide AC by two (to get 1.5) then multiply by 7.

The answer is 10.5

3 is to 2       as     n is to 7

3/2 = n/ 7

7 *  3/2  = n = .......

If someones reports it then it's hidden for normal users but you and the moderators and admin can still see it is what I mean

Yeah if theres an image then post it otherwise complete the question

If a what?

I think a part of your question got cutoff! 

Please fix it so that we can answer!

The second equation tells you the value of 'x' in terms of 'y'

Use this 'x' in the first equation:     13 (y+6) - 6y = 22     solve for 'y'

    then use this value of 'y' in one of the equations (the second is the easiest) to find the coresponding value of 'x'     Done !

Interior and exterior angles sum to 180

each interior angle is    180 - 360/n

each exterior angle    is    180 - 180   + 360/n   = 360/n

SO the question asks     180 - 360/n  <  360/n

                                        180 < 720 / n

                                           n < 720/180

                                            n < 4                          

The angle bisector theorem states that if C is the angle bisector, then this formula applies:

   AX / XB  =  AC / BC     --->     AX / 30  =  21 / 45     --->     AX  =  30 · 21 / 45  =  14.

thanks electric parlov

₃₄C₃₄  =  34! / ( 34! · 0! )

What fifth term?