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amm1812
3 years ago
15

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

a. Find the longest possible length of the side of one of the squares. (Hint: use prime factorization)
Mathematics
1 answer:
Ivahew [28]3 years ago
8 0
The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
 5670 | 2
 2835 | 5
  567  | 3
  189 | 3
    63 | 3
    21 | 3
      7 | 7
      1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).
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Solve this system of equations. y = 5x +20 and y = -2x -8
Thepotemich [5.8K]

Answer:

y = 0

x = -4

( x, y ) = ( -4 , 0 )

Step-by-step explanation:

y = 5x + 20

y = -2x - 8

Substitute

5x + 20 = -2x - 8

Add 8 on both sides

5x + 20 + 8 = -2x - 8 + 8

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Subtract 5x on both sides

5x - 5x + 28 = -2x - 5x

28 = -7x

Divide by -7 on both sides

28/-7 = -7x/-7

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Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

y = 5x + 20

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Point form = ( -4, 0 )

Hope this helped

3 0
3 years ago
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