Mathematics
Mathematics, 06.10.2019 13:30, icantdomath4910

Determine the last 3 digits of 999^999

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Answers: 1

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The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap
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Mathematics, 22.06.2019 01:10, hellicuh
Evaluate 8x2 + 9x โˆ’ 1 2x3 + 3x2 โˆ’ 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 โˆ’ 2x = x(2x2 + 3x โˆ’ 2) = x(2x โˆ’ 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formโ€  8x2 + 9x โˆ’ 1 x(2x โˆ’ 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x โˆ’ 1)(x + 2), obtaining 8x2 + 9x โˆ’ 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x โˆ’ 1).
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