You're welcome !
1/37= .027 027 027 027.... every multiple of 3 is a 7 291 is a multiple of 3 the 291st digit is 7
g(x) = ?
h(x) =x^8 = g(x)^4 g(x) is degree 2 then raised to the fourth power by f(x) makes h(x) degree eight.
( k+1)^3 - k ^3 = 1801
k^3 + 3k^2 +3k+1 - k^3 = 1801
3k^2 + 3k -1800 = 0
k^2 + k -600 = 0 Qudratic formula shows k= 24 (the positive answer) then k+1 = 25
Depth can be 2.05 m width can then be 4.10 m and length can be 6.15 m volume = 51.691 m3 max
Slope,m, between the points = -6/3 = -2
point slope form (using point (-3,-5) <====== you could use the other point instead....same result)
(y+5)= -2(x+3) re-arrange
2x + y = -11 you can finish, I hope !
= sqrt (x^4 * 60 * 12*63*42)
= x^2 sqrt ( 4 * 15 * 4 * 3 * 3 * 3*7* 3 * 14)
= 4 *3 *3 x^2 sqrt ( 3*5* 7* 7*2)
= 7* 36 x^2 sqrt(3 *5 *2)
=252 x^2 sqrt (30)
Here is one way slope , m , betweent the points is 9/-4 = - 9/4
point slope form of the line
y-7 = - 9/4 ( x - -1) put in -6 for 'x' to find y
y - 7 = - 9/4(-5)
y = 45/4 + 7
y = 18 1/4
We need to have the x^4 terms 'cancel out' to end with a degree 3 polynomial
c * 5x^4 + 19x^4 = 0
c = - 19/5
so the polynomial could be anything with -19/5 x^4 in it ( and no higher degree term in it...and also, don't 'cancel out the x^3 terms)
- 19/5 x^4 + x^3 - x^2 + 4 x + 10 would be an example....
5+9+15 = 29 5 revs = 9 revs of 2nd 9 revs of 2nd = 15 revs of third
2nd gear has 5/9 as many teeth as 1st 3rd has 9/15 asmany as second = 9/15 * 5/9 as first
x + 5/9x + 9/15*5/9 x = 85
x = 45 then second has 25 and third has 15 teeth
