Answer:
(3x + 5)(9x^2 - 15x + 25)
Step-by-step explanation:
27x^3 + 125
= (3x)^3 + 5^3
= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)
= (3x + 5)(9x^2 - 15x + 25)
FYI: a³ + b³ = (a + b)(a² – ab + b²)
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±
)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation:
Answer:
Step-by-step explanation:
v=3p(w-r)
v=3pw-3pr
v+3pr=3pw
(v+3pr)/3p=w
Answer:
15 (I think)
Step-by-step explanation
6 x 25 = 150
20% of 150 = 30
10% of 150 = 15
30 - 15 = 15
<em>Sorry if this is wrong.</em>
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Answer:
3.113, 4.507
Step-by-step explanation:
From the given values:
Mean = 3.81
Standard deviation = 1.74
Therefore
M = √(1.72/18) = 0.4
μ = M ± t(sM)
μ = 3.81 ± 1.74*0.4
μ = 3.81 ± 0.697
Recall that the mean is estimated at 90% confidence level,
Hence,
= 90% CI [3.113, 4.507]