Solve the problem.The equation of a line passing through two distinct points (x1, y1) and (x2, y2) is given by  = 0. Use the determinant to write an equation for the line passing through  and . Express the line's equation in standard form.

A. 5x - 4y + 10 = 0
B. -10x + 2y - 30 = 0
C. -5x - 2y - 20 = 0
D. 10x - 2y - 30 = 0


Answer: B

Mathematics

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A. 420 cm B. 140 cm C. 210 cm D. 280 cm

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Rewrite the quadratic equation in the form ax2 + bx + c = 0, then identify a, b, and c. 2x2 + 11 = 0

A. a = 2, b = 0, c = -11 B. a = 0, b = 2, c = 11 C. a = 2, b = 0, c = 11 D. a = 2, b = 11, c = 0

Mathematics

Convert to an exponential equation.log3  = -3

A. 33 = 
B. 31/27 = 3
C.  3 = 3
D. 3-3 = 

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Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

A) –12.354 B) 0.089 C) 0.039 D) –0.098 E) –0.081

Mathematics