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gabetrojanowski1936
22.06.2020 •
Mathematics
The value for n using quadratics
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Ответ:
n = 10
Step-by-step explanation:
Given width = n + 6 and height is 13 less than width, then
height = n + 6 - 13 = n - 7
The area (A) of a triangle is calculated as
A =
wh ( w is the width and h the height )
Here A = 24, w = n + 6 and h = n - 7 , thus
(n + 6)(n - 7) = 48 ← expand left side using FOIL
n² - n - 42 = 48 ( subtract 48 from both sides )
n² - n - 90 = 0 ← in standard form
(n - 10)(n + 9) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 9 = 0 ⇒ n = - 9
However, n > 0, thus n = 10
Ответ:
3
Step-by-step explanation: