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thx soooo much

n + n+1 + n+ 2= 70

3n + 3 = 70

3n = 70 - 3

3n = 67

n =67/3 =22 1/3. There is no such thing as "three consecutive integers that sum to 70". It must be either 72 or 69 or some other number that is divisible by 3.

i got it thx

You have two sides   and the total of the THREE sides....just subtract the two sides from the total to find the remaining side length.

21 - 9 - 5 = 7" = AC

You are both doing better than me.

I have absolutely no idea what is being asked   

Thanks , EP

Another rule

6%  ...... =  [ 6. ] %

Move the decimal two places to the left and drop the % sign  =   .06

Degree 5

Zeros    9  ,  -i , -4 + i

Note...the other two zeros  are  i  and  - 4 - i

So we have

(x - 9) ( x - i) ( x + i) ( x - [ -4 + i ] ) ( x - [ -4 - i ] )  =

(x - 9) (x^2 - i^2) ( x + (4 - i) )  ( x +  (4 + i )  =

( x - 9) ( x^2 - [ -1] ) [ x^2 + x(4 + i) + x (4 - i)  + (16 - i^2 ) ]

(x - 9) ( x^2 + 1) (x^2 + 8x + 16 - (-1) )

( x - 9) (x^2 + 1) ( x^2 + 8x + 17)

( x^3 - 9x^2 + x - 9) ( x^2 + 8x + 17)

x^5 - x^4 - 54 x^3 - 154 x^2 - 55 x - 153

1800 miles  /  300 miles/day  = 6 days

Because 6% = 6/100 = .06    

   I added 4 instead of r   because that is what your posted question asked. 

Thank you so much, Electric Pavlov!

(I checked your work and saw r = 7, but when you added A, B, C, and r, you put r as 4. I think you meant to put r as 7, so the answer was supposed to be 21.) Thank you anyways, I really appreciate the response. 

Sorry,  I just realized that I typed my question wrong! :) But thank you anyways!

λ=3/7 χ1=14,y1=0 

\(y-y1=λ(x-x1)<=>y=λx-λx1+y1<=> y=\frac{3}{7}x-\frac{3}{7}14+0<=> y=\frac{3}{7}x-6\)

Hope this helps!

Thanks so much for the walkthrough. But the result is wrong, the answer was 30.

question,why is the 6 .06, why not .6?

Cirle formula  

    (x-h)^2   + (y-k)^2 = r^2       center = h,k

                   ( x+5)^2 + (y-2)^2 =r^2

                   x^2 + 10x   + 25   + y^2 -4y   + 4 = r^2

                  x^2  + y^2 + 10x -4y  = r^2 -29                 Multiply both sides by 2 to get the 2y^2

                 2 x^2 + 2y^2 + 20x - 8y = 2r^2 - 58         and 2^r^2 - 58 = 40     2r^2 = 98   r^2 = 49     r= 7

A+B + C +4 = 2 + 20 + (-8) + 4  = 18

IF you meant    A+B+C+r     then  =   2+20+(-8) +  7 = 21

You're welcome!

We have the following identity :

sin ( - θ)  =  -sin ( θ)

So

-sin ( θ)  =   1/5

So

sin ( θ)  = - 1/5

So

tan  θ  =   sin  θ  / cos  θ

cos  θ  =   sin  θ  / tan  θ

cos  θ    =  (-1/5)  /  [ √6 / 12 ]   =  -12 / [ 5 √6]  =  -12√6 / 30  =  -2√6/ 5  

6% x = .48

x = .48/.06 = 8.00       Price = $ 8 

I understand it now. Thanks for helping me.

It's 32 and especially this :

3  6 9 12 15 18 24 27 30 36  45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240

No its :

\(x - (-9) = -74 <=>x +9 = -74 \) we remove from both parts the 9 so \(x +9 -9 = -74 - 9 <=> x=-83\)

Now you understand it?