Area of a rectangle is n^2 -4n -5, where n is a positive number. If one side has length n+1, give the second side in terms of n. Working pls?
回答 (8)
2018-07-25 10:29 am
✔ 最佳答案
Area of the rectangle = (Length of the first side) × (Length of the second side)Length of the second side
= (Area of the rectangle) / (Length of the first side)
= (n² - 4n - 5) / (n + 1)
= (n + 1)(n - 5) / (n + 1)
= n - 5
2018-07-30 1:48 pm
n^2 -4n -5 = n^2 +n -5n -5 = n(n+1)-5(n+1) = (n-5)(n+1)
The other side is n-5.
The other side is n-5.
2018-07-26 2:37 am
n + 1 = n - (- 1)
Using synthetic division :-
- 1 I 1_______- 4______-5
__ I________- 1_______5
__I 1_______ - 5______0
n - 5 is length of second side
Check
[ n - 5 ] [ n + 1 ] = n² - 4n - 5
Using synthetic division :-
- 1 I 1_______- 4______-5
__ I________- 1_______5
__I 1_______ - 5______0
n - 5 is length of second side
Check
[ n - 5 ] [ n + 1 ] = n² - 4n - 5
2018-07-25 9:11 pm
2nd side is: n^2 -4n -5/n+1 = n-5
Check for area: (n+1)(n-5) = n^2 -4n -5
Check for area: (n+1)(n-5) = n^2 -4n -5
2018-07-25 9:07 pm
ℓ: length of the rectangle → (n + 1)
ω: width of the rectangle
The area of a rectangle is
area = ℓ * ω → given that it’s: n² - 4n - 5
ℓ * ω = n² - 4n - 5 → given that: ℓ = n + 1
(n + 1) * ω = n² - 4n - 5 → suppose that: ω = n + a
(n + 1).(n + a) = n² - 4n - 5 → you expand
n² + an + n + a = n² - 4n - 5
n² + n.(a + 1) + a = n² - 4n - 5 → you compare both sides
a = - 5
a + 1 = - 4 → a = - 5 of course because above
Recall: ω = n + a
→ ω = n - 5
ω: width of the rectangle
The area of a rectangle is
area = ℓ * ω → given that it’s: n² - 4n - 5
ℓ * ω = n² - 4n - 5 → given that: ℓ = n + 1
(n + 1) * ω = n² - 4n - 5 → suppose that: ω = n + a
(n + 1).(n + a) = n² - 4n - 5 → you expand
n² + an + n + a = n² - 4n - 5
n² + n.(a + 1) + a = n² - 4n - 5 → you compare both sides
a = - 5
a + 1 = - 4 → a = - 5 of course because above
Recall: ω = n + a
→ ω = n - 5
2018-07-25 3:28 pm
Area of a rectangle:
LW = n^2 - 4n - 5
L = n + 1
W = n - 5
LW = n^2 - 4n - 5
L = n + 1
W = n - 5
2018-07-25 11:58 am
A = LW
= n² - 4n - 5
= (n-5)(n+1)
If L = n+1, then W = n-5
Ans: n-5
= n² - 4n - 5
= (n-5)(n+1)
If L = n+1, then W = n-5
Ans: n-5
2018-07-25 11:17 am
n-5
收錄日期: 2021-04-24 01:08:25
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