It is a rational number because it is a terminated decimal and can be expressed as a fraction.
how come you need help? It is super easy. Just combine Like Terms.
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/v/combining-like-terms-1
That is a website for help!
Answer:
<h3><u>Part (a)</u></h3>
From inspection of the diagram, the pattern is:
Step 1: 1² + 1
Step 2: 2² + 2
Step 3: 3² + 3
Let x = step number
Let y = total number of squares
Therefore, the equation that represents the relationship is:
y = x² + x
<h3><u>Part (b)</u></h3>
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x² relates to the large square made up of small squares (top part of the image of each step)
x relates to the rectangle of small squares (bottom part of the image of each step)
y is the total number of small squares in the image of each step.
Answer:
-1.5, -1/2, 2.9, 15/4, 4.6