Answer:
C. (40 × 60 × 10) + (30 × 60 × 10) = V
Step-by-step explanation:
Picture of the cake can be found in the attachment below :
To solve, we resolve the cake into two distinct boxes :
The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)
And the other which sits vertically ;
Volume = (length * width * height) = (10 * 60 * 40)
Then, we add;
Overall volume:
(60 * 30 * 10) + (10 * 60 * 40)
Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
=
← in factored form
