Answer the question.Without multiplying by the least common denominator and solving, explain why the rational equation  has no solution. (Hint: Examine both numerators and denominators carefully.)

What will be an ideal response?


Since the denominators are the same, the numerators must be the same. Then x = 3; but this value of x makes the denominators 0, so the equation has no solution.

Mathematics

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Solve the inequality and graph the solution on the real number line. ? ?

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Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.Find sin A when a = 4 and b = 5.

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Mathematics

Solve the problem.A store has a sale on workout gear. Mark bought three pairs of shorts and three T-shirts for $70.35 (before tax). Later, he went back and bought two more pairs of shorts and four more T-shirts for $63.90 (before tax). How much did the shorts and T-shirts cost?

A. shorts: $8.50; T-shirts: $14..95 B. shorts: $8.45; T-shirts: $15.05 C. shorts: $14.95; T-shirts: $8.50 D. shorts: $15.05; T-shirts: $8.45

Mathematics

Solve the absolute value equation.|3x + 9| + 7 = 3

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Mathematics