Rewrite then factor as a difference of cubes:
1 - 64<em>x</em>³ = 1³ - (4<em>x</em>)³
= (1 - 4<em>x</em>) (1² + 4<em>x</em> + (4<em>x</em>)²)
= (1 - 4<em>x</em>) (1 + 4<em>x</em> + 16<em>x</em>²)
So all sides together are 42 meters.
Two of the sides are 6 meters.
So 42-(2*6) = 30 is left for the other two sides, that's 15 meters per side.
1. x intercept is (10,0)
y intercept is (0,6)
2. x intercept is (4,0)
y intercept is (0, -1)
3. x intercept is ( 4,0)
y intercept is (0,8)
hope this helps :) !
First we have to find the diagonal of the card. We do this by using the Pythagoras theorem: A^2 = b^2 + c^2
= 6^2 + 4^2
=36 + 16
= 52
A^2= 52
Sqrt A^2 = sqrt 52
A = 7.2
Since the envelopes diagonal is 7.2 inches and the card’s diagonal is 8 inches and 7.2<8. Your answer is c)
