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daniellecraig77
07.04.2021 •
Mathematics
A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
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Ответ:
4cm, 11cm, 21cm
Step-by-step explanation:
4(x + 1)(x + 11)
4(x ^ 2 + 12x + 44)
x ^ 2 + 12x + 11 = 231
x ^ 2 + 12x + 11 - 231 = 0
x ^ 2 + 12x - 220 = 0
(x - 10)(x + 22) = 0
x = 10 and x = - 22
4cm , 11cm , 21cm
Hope it helps you xx
Ответ:
Dimensions = 4cm, 11cm and 21 cm.
Step-by-step explanation:
x2 + 12x - 220 = 0
x2 + 22x - 10x - 220
= x(x+22) -10(x+22)
=(x+22)(x-10)
x + 22= 0
-22 -22
x = -22 (x cant be negative so this is wrong)
x-10 = 0
+10 +10
x = 10 (positive so its correct)
4 , (10+1), (10+11)
= 4, 11, 21 cm.
Ответ: