Claire gets there in 3 hours
Megan stil has 3 miles to go
the two of them will cover those 3 miles (and meet) in 3 miles/ (6+ 5 m/hr)= 3/11 hr
at 6 m/hr claire will have travelled back from outpost : 6 m/hr * 3/11 hr = 18 /11 miles = 1 7/11 miles
(x-3+sqrt3)(x-3-sqrt3) = x^2 -6x -2
multiply thru bu -2
-2x^2 + 12x + 4 = 0 vertex ''x'' = - b/2a = 3 (right between the roots)
use this value of 'x' in the equation to calculate ''y'' of the vertex
painted surface 3 x 5 x 2 + 5 x 8 x 2 + 8x 3 x 2 = 158 cm2 = 158 painted surfaces
total cubes 3 x 5 x 8
total surfaces 3x 5 x 8 x 6 =720 sufaces
unpainted = 720- 158 = 562 unpainted = 562 cm2
First half losses = 84/2 * 3/7 = 18
Second half losses 84/2 * 5/14 = 15 add them together.......
Yep....typo ! D'Oh ! Thanx for fixin' it CTG.....
Squares between 100 200 inclusive 100 121 144 169 196
101 197 add them together ! *** edited ***
Find the hypotenuse (which is the side length of the square) via the pythagorean theorem
a2 + b2 = c2
5^2 +8^2 = c^2 c = sqrt (89)
Area of square = side^2 sqrt(89)2 = 89 units 2
Thanx !
Agree with CTG .... strong work !
or did you mean 316 = sqrt(99856) ?
For one solution thie discriminant of the quadratic = 0 b^2 - 4ac = 0
64 - 4 ac = 0
so another equation relating a and c 64 - 4 ac = ac = 16 and given c = 12-a
a (12-a) = 16
-a^2 + 12a - 16 = 0 quadratic formula shows a = 6 - 2sqrt 5
and c = 6 + 2 sqrt 5
