"For any three consecutive numbers": x,y,z:
x
y=x+1
z=x+2
"prove algebraically that the largest number and the smallest number are factors"
x*z=
"of the number that is one less than the square of the middle number"
=y²-1
x*z=y²-1
x*(x+2)=(x+1)²-1
x²+2x=x²+2x+1-1
x²+2x=x²+2x
both sides of the equation are the same, so the statement is correct
<u>Answer</u>
= 10
<u>Explanation</u>
EG is one of the diagonals of the rhombus and the other diagonal is FH.
EG = 16 and FH = 12
The diagonals of a rhombus meet at 90°
From this information we can form a right triangle with legs (16/2)=8 and (12/2)=6
The hypotenuse of this triangle is the side of the rhombus.
Using the pythagorean theorem;
L² = 6²+8²
Where L is the length of the rhombus.
L² = 6²+8²
L = √36+64
= √100
= 10
well, a negative plus a negative always will be a negative
example:
-1+-1=-2
