Answer:
2932.4
Step-by-step explanation:
(y-k)²/a² + (x-h)²/b² = 1
Vertices being : A(0,1) & B(0, - 9), means that h=0
Let's calculate k: Af₁ + Af₂ = |2+8| = 2a = 10 → a=5 (f₁ and f₂ = focii)
1) a = 10 (WRONG) since a =5
2) h=3 (WRONG) since h =0
3) k =0 (WRONG) since k =5
4) b = 4 RIGHT; PROOF:
we know that : c² = a² - b²
c= 3 & a = 5 then → 3² = 5² - b²
9 = 25 - b²
b² = 25-9 = 16 and b = 4
Answer:
the probability is 0.4642 (46.42%)
Step-by-step explanation:
for the events E and F such that
N(E ∩ F) = 250 and N(E) = 560
where N represents the number of elements in that set , we can use the theorem of Bayes for conditional probability .Then representing N total =N(E∪F) , we have that the probability is
P( F|E ) = P (E ∩ F)/ P(E) = [N(E ∩ F) / N total]/ [N(E) / N total ] = N(E ∩ F)/ N(E) = 250/560 = 0.4642 (46.42%)
Hi
(6-d)(d²-5+3d) = 6d²-30+18d-d³+5d-3d² = -d³+6d²-3d²+18d+5d-30
(6-d)(d²-5+3d) = -d³+3d²+23d-30
Answer: -d³+3d²+23d-30
You take 12 * 6 = 72, then divide by two. 72 / 2 = 36 in squared