Q. Incorrect10]Use the Distributive Property to expand this expression.z(−6.4−3.5x)A. −6.4z−3.5xB. z−6.4−3.5xC. −6.4z−3.5xzD. −6.4xz−3.5xz
Apply Distributive Property: Apply the Distributive Property to the expression.The Distributive Property states that a(b+c)=ab+ac. We will apply this property to the expression z(−6.4−3.5x).
Multiply by Terms Inside: Multiply z by each term inside the parentheses.First, multiply z by −6.4 to get −6.4z.Then, multiply z by −3.5x to get −3.5xz.
Combine Results: Combine the results from Step 2 to write the expanded expression.The expanded expression is −6.4z−3.5xz.
Match with Answer Choice: Match the expanded expression with the correct answer choice.The correct answer choice that matches our expanded expression is C. −6.4z−3.5xz.
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