2x^3y+18xy-10x^2y-90y
= 2xy(x^2 + 9)- 10y(x^2 + 9)
= (x^2 + 9)(2xy - 10y)
= (x^2 + 9) 2y(x - 5)
= 2y (x^2 + 9) (x - 5)
Answer: The triangle is a obtuse triangle. Because two angles are less than 90 and 110 is a obtuse angle.
Hope it helps
<h3>
Answer: 1/25</h3>
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Work Shown:
A = event of landing on a number greater than 8
P(A) = 1/5
We have 1 number that is greater than 8 (which is the space "9") out of 5 total
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B = event of landing on a divisor of 81
B = event of landing on 9, since 9 is a divisor of 81 (no other numbers listed are a divisor of 81)
P(B) = 1/5 for identical reasoning as above
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P(A and B) = P(A)*P(B)
P(A and B) = (1/5)*(1/5)
P(A and B) = 1/25