Provide an appropriate response.Explain how completing the square enables us to solve equations we could not otherwise have solved.
What will be an ideal response?
Given an equation that cannot be solved using the principle of zero products or the principle of square roots, completing the square enables us to express the equation in a form that can be solved using the principle of square roots.
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Find the midpoint of the line segment joining the given points. Select the correct answer.
Determine whether the vectors v and w are parallel.v = , w =
A. Parallel B. Not parallel
Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 18 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 58 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.
A. y = 5x + 47
B. y = -5x + 33
C. y = x +
D. y = 5x + 3
Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x + 5)(x - 5)
A. x2 - 10 B. x2 + 10x - 25 C. x2 - 25 D. x2 - 10x - 25