Provide an appropriate response.Explain in your own words a sequence of steps that can be used to solve any quadratic equation in the most efficient way.

What will be an ideal response?


1) If the quadratic equation is of the type x2 = k, use the principle of square roots.
2) If the quadratic equation is of the type ax2 + bx + c = 0, b ? 0, use the principle of zero products, if possible.
3) If the quadratic equation is of the type ax2 + bx + c = 0, b ? 0, and factoring is difficult or impossible, use the quadratic formula.

Mathematics

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Estimate the slope of the tangent line to the curve at the given point.

A. 2 B. -1 C. 1 D. 1/2

Mathematics

Solve. Express the answer in scientific notation to two decimals unless requested otherwise.If the speed of light is 3.00 × 108 m/sec, how long does it take light to travel 2.29 × 1011 m, the distance from the sun to Mars? Round to one decimal place.

A. 7.6 × 103 sec B. 76 sec C. 7.6 × 102 sec D. 7.6 × 102 min

Mathematics

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 tan B when a = 48 and c = 50.

A.
B.
C.
D.

Mathematics

Perform the indicated operation and write the answer in the form  where a and b are real numbers.(4 - 8i)2

A. 16 - 64i B. -48 - 64i C. 80 - 64i D. 16 + 64i

Mathematics