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a)  We  have the  tangent-secant theorem  that says that

TU^2  =   ST  ( ST + RS)  =  ST (RT)

b) 

TU^2   =  4 ( 16)

TU^2   =  64

TU  =  sqrt (64)  =  8

1. First cut must be at the 3-rd link. Then Samir has this 3-rd link cut as a single link; he has also the block of 2 links (the 1-st and the 2-nd links connected together); and then he has 3 links as the union ((1st + 2nd together) U 3rd).

2. Next cut must be at the 8-th link. Then, in addition to the set (A), Samir has - this 8-th link cut; - the block of 4 links (4th+5th+6th+7th all connected together), and then it is clear that combining this block of 4 links with what he just has in the set (A), he is able to have a) 4 links; b) 5=4+1 links; c) 6=4+2 links; d) 7=4+3 links; and e) 8=4+3+1(8th) links.

3. By continuing with this pattern, it is clear that (C) the next, third cut must be at the 8 + 8 + 1 = 17-th link.

4. The next (and the last), fourth cut must be at the 17 + 3 = 20-th link. Then it is OBVIOUS that having the sets (A), (B), (C) and additional 2 connected segments (18,19) and (21,22,23) and 1 cut link (20th) Samir will be able to present a) 18 = 17 +1; b) 19 = 17+2; c) 20 = 17+2+1; d) 21=17+3+1; e) 22=17+2+3; and, finally, all 23 links as well.

So, the problem is just solved and the ANSWER is: The cuts should be made at 3-rd; 8-th; 17-th; and 20-th links.

Hope this helped!

( ﾟдﾟ)つ Bye

thanks

each season is 3 months long 

Summer Fall Winter spring

     +3        +3         +3    +3

It will be winter

Here, you can copy and paste this one if that's what you mean: ÷  

Hope this helped!

( ﾟдﾟ)つ Bye

Hey there, Guest!

You want to find the equation for a line that passes through the point (-3,9) and has a slope of 0.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 0. So you can right away fill in the equation for a line somewhat to read:

y=0x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-3,9). When x of the line is -3, y of the line must be 9.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-3,9).

So, why not plug in for x the number -3 and for y the number 9? This will allow us to solve for b for the particular line that passes through the point you gave!

• (-3,9). y=mx+b or 9=0 × -3+b, or solving for b: b=9-(0)(-3). b=9.

The equation of the line that passes through the point (-3,9) with a slope of 0

is

y=+9

Hope this helped!

( ﾟдﾟ)つ Bye

Hey there Guest!

As you probably know, pi centers around circles. It's the ratio of the circumference of a circle to its diametera.

The constant π helps us understand our universe with greater clarity.

Hope this helped!

( ﾟдﾟ)つ Bye

Please don't edit/change your question after it has been answered....   post another Q if you have a different one...

50 * x  = 4500    divide both sides by 50

x = 4500/50

x = 90

y = 9      that's it....

'pi' is th ratio of a circle's circumference to its diameter

pi = circ / dia

That isn't what I'm learning.

y=k(x+14)(x-10)+10

Sub in (20,7) to find k

From which end?

18C5  *  (3x)^5  *  z^13

or

18C5  *  (3x)^13  *  z^5

HERE it is

Here is the diagram, and I have introduced a new point, E

BX and BY are both tangents to the circle, Hence they are the same length.

So  triangle EYB and triangle EXB are congruent.

So angle YEB = 90 degrees.

So angle EYB = 180-90-30 = 60 degrees

So angle AYX = the supplement of 60 degrees,  180-60 = 120 degrees

Use Pascals Triangle to expand (x+4y)^5

I'll leave you to simplify further.

The hypotenuse of an isosceles right triangle is 14. What is the area of the triangle?

Area = 7²

Hint, the opposite of multiply is divide.

$2\times 3=6\\ so\\ 6 \div 3 =2$

Angle AYX = 120 degrees

Angle AYX = 120 degrees

T = number of T-shirts, P = number of pants

2T + 4P = 67.9                    (1)

5T + 9P = 160.25                (2)

Multiply (1) by 5 and (2) by 2

10T + 20P = 5*67.9           (3)

10T + 18P = 2*160.25       (4)

Subtract (4) FROM (3)

2P = 5*67.9 - 2*160.25

Divide by 2

P = 2.5*67.9 - 160.25

Hence  P = 9.5

Substitute this back into (1) or (2) and rearrange to find T.

$n= 1+4*8 + d*8^2 + 1*8^3$   (base 10)    where   d is and integer and   $0\le d \le7$

n= 1 + 32 +68d + 512

you can take it from there.