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no I'm not ,

It is just because my level in english is bad

that's why my communication with people is it as you see

sorry Melody 

What are the coordinates of the image of the point (-6,-2) after a dilation by a scale factor of 3 with the origin as the center of dilation, followed by a translation over the y-axis?

Multiply the co-ordinates by 3 and you get   (-18, -6)

Now should that be a REFLECTION over the y axis?  because translation makes no sense.

If I reflect it I get across the y axis I ger       (+18,-6)

A circle with center at (12,-1) passes through (0,-1) . Find the circumference
and area of the circle in terms of p.

Well this distance between those points is 12 so that is the radius.

Now you can fing the circumference and area easily just use the formulas :)

I think that p is supposed to be pi.

1/0 is not defined since if a*b = 0 , over a field , a = 0 , or b = 0 . but if 1/0 is defined , 0 * a = 1 => a = 1/0 , but a isnt possible , since 0 * m = 0:

a * 0 = a(0+0)  

a * 0 = a*0 + a*0 / -(a*0)

0 = a*0

3. How many 4-digit numbers have the last digit eequal to the sum of the first two digits?

Possibilities

11*2     10             10

20*2      10            20

12*3      20            40

30*3      10            50

13*4      20            70

22*4       10           80

40*4        10          90

14*5       20          110

23*5      20           130

50*5      10           140

15*6     20            160

24*6      20            180

33*6      10            190

60*6      10            200

16*7       20           220

25*7      20            240

43*7      20            260

70*7      10            270

17*8      20            290

26*8      20            310

35*8      20            330

44*8      10             340

80*8      10             350

18*9      20            370

27*9      20            390

36*9     20             410

45*9     20              430

90*9     10              440

There you go  -  I get 440

Thank You . 

Why not?

Are you the person who asked the question?

@above  i don't know what you are talking about

2(n-1) + 4n = 2(3n-1)     simplify

2n - 2 + 4n  = 6n - 2      combine like terms

6n - 2   =  6n - 2     since both sides are exactly the same.......any real number for n will solve the problem

1.How many license plates can be formed if every license plate has 2 different letters followed by 2 different digits?

26*25*10*9

2.How many 3-digit numbers have the property that the first digit is twice the second digit?

21*        10

42*         10

63*         10

84*          10

There is a start anyway 

√x + y  = 7      →   √x =   7 -  y     square both sides   x  =  y^2 - 14y + 49   (1)

√y + x  = 11    (2)

Substitute  (1) into (2)

√y + y^2 - 14y + 49  = 11

√y = 11 - (7 - y)^2        square both sides

y  = 121 - 22(7 - y)^2   + (7 - y)^4     simplify

y = 121 - 22 [ y^2  - 14y + 49]  + y^4-28 y^3+294 y^2-1372 y+2401

y = 121 - 22y^2 + 308y - 1078 + y^4 - 28y^3 + 294y^2 - 1372y + 2401

y^4- 28y^3+272 y^2-1065 y + 1444 = 0

The only integer solution to this  is y = 4

And using (2) we have that √4 + x  = 11   →  2 + x  = 11  →   x = 9

So.....the solution is (x,y)  = (9,4)

Here's a graph of the intersection point of both equations :

https://www.desmos.com/calculator/ciw2xypsx4 

FIND X,Y IF sqrt(x)+y=7 sqrt(y)+x=11

FIRST:     sqrtx and sqrt y are both real numbers so x and y are both equal or greater than 0

\(\)

\(\sqrt{x}+y=7\)

Lets think about this.  

x muxt be a perfect square because otherwise the sum will be irrational.

If x=0 y=7

As x gets bigger y gets smaller,

When x=49   y=0

So this is an ever decreasing curve  (The gradient is always negative)

Now look at

\(\sqrt{y}+x=11\)

When y=121 x=0  

as y decreases, x will increase  until when x=11 y = 0

Again this is a monotonically decreasing curve.

This means that the 2 curves will only cross at one point.

With a little thought  I can see that

 sqrt(9)+4=7

  sqrt(4)+9 =11

So the point of intersection is  (9,4)

Here is a graph to confirm and help explain what I have told you :)

Very nice, Melody.......I liked this one.......

To create a rectangular playground with a perimeter of 100 metres and an area of 616 square metres:

Call the length:  l

Call the width:   w

Since the perimeter is 100:  2l + 2w  =  100     --->     l + w  =  50

Since the area is 616:               l · w  =  616

Solve  l + w  =  50  for  l:     l  =  50 - w

Replace this into the area equation:  l · w  =  616     --->     (50 - w) · w  =  616     --->     50w - w²  =  616

                                                                                 --->     0  =  w² - 50w + 616    --->     w² - 50x + 616  =  0

Factoring:     (w - 22)(w - 28)  =  0

So:  either  w = 22  or  w = 28

If  w = 22,  then  l = 28     or     if  w = 28,  then  l = 22.

In either case, the dimensions of the playground are:  22 metres x 28 metres.

  40

     C

      6

= (40x39x38x37x36x35) / (6!)

=(40x39x38x37x36x35) / (6x5x4x3x2x1)

(-5-5\sqrt{3})/6i

Is the 6i meant to be in brackets?

Do you mean the imaginary i ?

Do you want me to simplify?

\(\frac{(-5-5\sqrt{3})}{6i}\\ \frac{(-5-5\sqrt{3})}{6i}\times \frac{i}{i}\\ \frac{(-5-5\sqrt{3})i}{6*-1}\\ \frac{(-5-5\sqrt{3})i}{-6}\\ \frac{(5+5\sqrt{3})i}{6}\\\)

Why is this question causing you a problem.  I am sure you can do some, if not all, of it yourself!

The logic in my answer wis completely correct.

My oversight was that I was dealing with a denominator which can never be 0 therefore the equal part of my inequality answers are invalid.   

This is a minor oversight.

4sqrt(16)-18sqrt(343)+90sqrt(243)-sqrt(196)

4*4         -18sqrt(343)+90sqrt(243)- 14

\(2 -18\sqrt{7^3}+90\sqrt{3^5}\\ 2 -18\sqrt{7^2}\sqrt7+90\sqrt{3^4}\sqrt3\\ 2 -18*7\sqrt7+90*9\sqrt3\\ 2 -126\sqrt7+810\sqrt3\\\)

multiply first equation by 2 to get           4x  + 6y  = 20

second equation                      is            4x  + 6y = 5

these two simutaneous equations do not have a solution,so the lines do not intersect.

(the expressions on the left hand side are the same,so they can't have two different values)

81 is the answer

"Write x / (x2-1) - (x + 1) / (x - 1) as a single fraction in simplest form."

.