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Thanks Electric Pavlov!

Area = pi x r^2

area/pi = r^2

sqrt(area/pi) = radius

As before ...anywhere the denomintor = 0 the fxn is undefined

denominator =  (x+3)(x-1)      so when x = -3  or +1   the function is undefined.

True about that.

Here's the weblink Melody

- http://web2.0calc.com/questions/applications-of-trigonometry

I did say in my original 1 tht i did'nt understand. But no one answered. Could u check my feedback in the org one? I hv said wut i did'nt understand based on CPhil's answers. Thanks a lot!

P is the distance from the bottom of the tower to the point, P, on the ground.

The height of the tower is P * tan30º because:

In every right triangle, tan θ = side opposite / side adjacent .

so

tan 30 = tower / P

P * tan 30 = tower

Lol i really wish i could. But im just a child. 

(x^2 + 10x + 21) / ( x^2 + 4x + 21)

The domain will be undefined for any "x" that makes the denominator = 0

But

x^2 + 4x  + 21  = 0      has no real 0's

So....this rational function is defined everywhere ....  (-inf, inf)

See the graph, here : https://www.desmos.com/calculator/t3utixb7ot

Here is a lesson on powers of a negative number:

It's the same thing as positives, except you have to consider the negatives.

SO:

-2^1 = -2, because -2 * 1 = -2,

-2^2 = 4, because the negatives cancel out,

-2^3 = -8, because you are multiplying 4 from the previous one by -2,

-2^4 = 16, because the negatives cancel out again.

So (-2)^4 = 16

And 16 * 5 as you hopefully know

= 80

I know... you bake 11 pies and secretly eat half of one, and you tell everyone that you only made 10 1/2 to start with!

....Excellent question Chris.....I hope some forum member with an advanced baking degree can answer it !   LOL

Anything divided by 0 is undefined or infinity. So for your homework you can just put undefined 

If you wanted to send money to me....I'll make sure that the other members get a percentage....

You are welcome SA....this question has been answered THREE times now....I hope you have looked at it by now !

G'Day !

Thanks so much guys!

(x-3)                                    (x-3)/[(x-3)(x+10)]     =  1 /(x+10)  

_____                  =  

x^2 +7x-30  

So as x approaches -10  you will have an asymtope there at -10      One asymtope at x = -10

Vertical asymptotes occur when y is undefined.

Y is undefined when the denominator is = 0.

So set the denominator = 0 to find which x values make y undefined.

x² + 7x - 30 = 0

x² + 7x + 49/4 = 169/4

x + 7/2 = ±13/2 - 7/2

x = 3 and x = -10

SO there are 2 values that make y undefined.

But from looking at a graph (or by taking the limit as x approaches 3) you can see that at x = 3 there is only a point discontinuity, not an asymptote.

So there is only 1 veertical asymptote at x = -10.

Because you waste your time browsing the internet instead of studying

Find a+b+c if the graph of the equation is a parabola with vertex (5,3) , vertical axis of symmetry, and contains the point (2,0).

\(f(x)=y=ax^2+bx+c\)

\(c=3\)

\(x_1=2\)

\(x_2=8\)

\(a \ is \ negative\)

\(2 = {-b + \sqrt{b^2-12a} \over 2a}\)                \(8 = {-b- \sqrt{b^2-12a} \over 2a}\)

\(16a = {-b - \sqrt{b^2-12a} }\)

.         plus

  \(4a = {-b + \sqrt{b^2-12a} }\)

\(20a=-2b\)

b=-10a

\(4a = {10a - \sqrt{100a^2-12a} }\)

\(-6a= - \sqrt{100a^2-12a}\)

\(36a^2=100a^2-12a\)

\(64a^2=12a\)

\(a=\frac{3}{16}\)  Error. CPhill was too fast.

\(\frac{3x^2+2x+1}{x-1}=3x+1\)

Multiply both sides by (x - 1).

3x² + 2x + 1 = (3x + 1)(x - 1)

Multiply out the left side.

3x² + 2x + 1 = 3x² - 3x + x - 1

Combine like terms.

3x² + 2x + 1 = 3x² - 2x - 1

Subtract 3x² from both sides.

2x + 1 = -2x - 1

Add 2x to both sides.

4x + 1 = -1

Subtract 1 from both sides.

4x = -2

Divide both sides by 4.

x = -2/4

x = -1/2

Math is not hard  if you try.

4c - 5 + 14c = 64

18c - 5 = 64

18c = 69

c = 69 / 18

c = 3.84

One question.....how do you make (63/6)  = 10 + 1/2 pies ????

7(y-4)-7 = 0

7y -28 -7 = 0

7y - 35 = 0

7y = 35

y = 5