Question

directions: use this information to answer parts a and b.
complete the statements. explain how you figured out the answer.
part a
enter the correct answers in the boxes.
show hints
-2(-5 + 9) = -2(-5) + (-2(9))
-2(4) = square + (-18) this means that -2(-5) = square.
-8 = -8

Explanation:

Step1: Calculate left - hand side of the first equation

First, calculate \(-2(-5 + 9)\). Since \(-5+9 = 4\), then \(-2\times4=-8\).

Step2: Analyze the right - hand side of the equation \(-8=\square+(-18)\)

Let the unknown number be \(x\). We have the equation \(x-18=-8\). Using the addition property of equality (add 18 to both sides of the equation \(x-18=-8\)), we get \(x=-8 + 18\).

Step3: Calculate the value of \(x\)

\(x = 10\). And since \(x=-2(-5)\) (from the right - hand side of the original distributive property equation \(-2(-5 + 9)=-2(-5)+(-2\times9)\)), we know that \(-2(-5)=10\).

Answer:

The first box is \(10\) and the second box is \(10\).