Answered

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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Good Evening Can Someone Please Answer This Ill Give You Brainliest And Your Earning 50 Points Would Be Very Appreciated class=

Sagot :

semsee45

Answer:

Part (a)

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

Part (b)

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.

The pattern is

  • 1+1
  • 4+2
  • 9+3

More simply

  • 1²+1
  • 2²+2
  • 3²+3

So for an integer n

  • y=n²+n

#b

n² is pair of boxes at top side

n is boxes underneath

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