Answer:
Step-by-step explanation:
The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)
This parabola must open downwards due to the position of the directrix and has equation of the form:
where (h,k) is the vertex.
This implies that:
and
The value of p is the distance from the vertex to the focus:
We substitute all the values into the formula to get:
Or
Divide total length by 3.
=17 1/2 ÷ 3
convert to improper fraction
= 35/2 ÷ 3
multiply by reciprocal of 3
= 35/2 * 1/3
= 35/6
= 5 5/6
ANSWER:
Each piece should be 5 5/6 inches.
Hope this helps! :)
Answer:
- 8x² + 36xy - 36y²
Step-by-step explanation:
Given
(- 2x + 6y)(4x - 6y)
Each term in the second factor is multiplied by each term in the first factor, that is
- 2x(4x - 6y) + 6y(4x - 6y) ← distribute each parenthesis
= - 8x² + 12xy + 24xy - 36y² ← collect like terms
= - 8x² + 36xy - 36y²
8/8 or 1 from 2/4 converting to 4/8 plus 4/8