The side of one square is 2 cm longer than the side of the second square. If the sum of the areas is 100 cm², find the length of the side of each square.

The small square has a 6cm side; the larger square has a 8cm side.

Step-by-step explanation:

Set up an equation that uses the given facts and common knowledge:

The area of a square is the length of the side times itself, that is "squared"!

You have 2 different squares; their total area is 100.

Use x to be the side of Square 1, and x+2 for the square that has 2cm longer sides. Here's the equation:  

  Expand then recombine

  becomes divide by 2 to simplify and then=0

   Now factor that.

(x+8)(x-6) = 0  Set each factor to equal zero and solve for x.

x + 8 = 0    x - 6 = 0

x= -8     x= 6     Squares don't have negative sides, so use the +6.

Back to square 1 ! !        

now 6+2 for square 2:  

36 + 64 = 100  TRUE!  

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

step-by-step explanation:

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