5x2 - 2y2 Answer:
Step-by-step explanation:
3.1 Factoring: 5x2-2y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 5 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
It has no solution because it is not factorable
Answer
C. 14
Explanation
The area of triangle = 1/2(base)(height)
The height:
the height is the distance from point (2,-3) perpendicular to the base intersecting it at point (2,1)
the height is then the distance between the 2 points = 4
The base:
the base is the distance between points (7,1)and (0,1) = 7
The area:
the area = 1/2 x 4 x 7 = 28/2 = 14 units²
