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alazayavila123
20.04.2020 •
Mathematics
What is the volume of each rectangular prism
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Ответ:
B. 48m3
C. 288m3
D. 162m3
E. 1200m3
F. 15m3
G. 189m3
H. 72m3
I. 160m3
J. 120m3
K. 297m3
L. 245m3
Ответ:
B
Step-by-step explanation:
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side =
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side =
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B