Answer:
Hey! The answer to your problem is 68!
Step-by-step explanation:
The Absolute value of any negative number is itself so |-4| would be 4
Hope this helped :)
Given:
There are given the statement, shape of the cross-section that is parallel to the base of the cone.
Explanation:
If the base of the cone that parallels to tye cross-section.
So,
The shape of the cross-section is
The area of a regular hexagon is
... A = (3√3)/2×s² . . . . . where s is the side length
Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.
... s = (48 in)/6 = 8 in
... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
Second option: 
Third option: 
Fifth option: 
Step-by-step explanation:
By definition, a perfect square trinomial can be obtained by squaring binomials.
Then:
Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.
Therefore, the products result in a perfect square trinomial are:
