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
Answer: <span>-x2 + 120x = 1,800
</span><span>
She plans on using the side of the barn as one side of her paddock so it has 3 sides. Since the width is shorter, it will be more efficient to have 2 widths (1 lengths and 2 widths). Because J</span><span>ill has 120 feet of fencing to use, you can get this equation:
120ft= 1L +2W
</span>1L= 120-2W
If you insert it into area formula it would be:
area= L*W
area= (120-2W) *W
area= 120W- 2W^2
-2W^2+120W= area
<span>Since x represent the width of the paddock and the area is 1800 the equation become
</span>-2X^2+120X= 1,800
Answer:
Option A) y = -2x + 15
Step-by-step explanation:
step 1
Find the slope of the line perpendicular to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The equation of the given line is

so
The slope of the given line is 
therefore
The slope of the line perpendicular to the given line is

step 2
Find the equation of the perpendicular line in point slope form

we have


substitute
---> equation in point slope form
Convert to slope intercept form




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