can someone please help with the following:
1. The sides of a cuboid measure 1 cm, a cm and b cm. Its volume is 12cm^3 and its surface area is 38 cm^2.
Find a and b
2. Show that y=x+c is a tangent to x^2 + y^2=4 if, and only if, c^2=8. (Show that if y=x+c is a tangent then c^2=8, and also that if c^2 = 8 then y= x+c is a tangent)
with the second one ive got as far as
i know the discriminant must equal 0 and the quadratic is 2x^2 +2cx +(c^2-4)=0,
and from the first statment 4c^2-8(c^2-4)=0
thanks pickslides, for some reason i had drawn a net and written the area as:
then tried elimination to solve and got wrong answer
if i solve the quadratic in your answer, ie b^2-7b+12=0 then all is well
i need to compare the net with your forumula.