Answer:
DE = 4 units.
Step-by-step explanation:
By the chord intersection theorem:
BE * CE = DE * FE
But FE = DE + 5 so:
BE * CE = DE * (DE + 5)
6 * 6 = DE^2 + 5DE
DE^2 + 5DE - 36 = 0
(DE + 9)(DE - 4) = 0
So DE = -9 or 4
It can't be negative so DE = 4.
If this is a perfect square trinomial, you want to look at your constant--36. the square root of 36 is 6, so your factors would be:
(x + 6)(x + 6) ... foil this, and see what your middle value is.
x² + 12x + 36 is your result. 12 is your middle term.
Answer:
X-int.: (4,0)
Y-int.: (0,2)
Step-by-step explanation:
