Answer:
x^2+1/x^2
(x+1/x)^2 = x^2+1/x^2 +2
(5)^2 = x^2+1/x^2 + 2
25 = x^2+1/x^2 + 2
25-2 = x^2+1/x^2
23 = x^2+1/x^2
Step-by-step explanation:
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
180-30
=150
Step-by-step explanation:
subtract whole area with degree given
Percent means parts out of 100
70%=70/100=7/10
7/10 of x=28
'of' means multiply
7/10 x=28
multiply both sides by 10/7 to get rid of fraciton
x=40
the number is 40