Answer:
54 x 1; 27 x 2; 18 x 3; 9 x 6
Step-by-step explanation:
Find all the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
A rectangle with area 54 can have the dimensions:
54, 1
27, 2
18, 3
9, 6
Answer:
- A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
The first step to factor it is to extract common factor 4x:
The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
- x is the desired (unknown) length
- 4x is 4 times the desired length
- x - 10 is 10 less than the desired length
- x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
Answer:
Step-by-step explanation:
n+8+6
Answer:
sum of angles = 40 + (8x + 4) + (3x + 4) = 180
Collecting all similar terms, the equation above becomes
11x + 8 = 140 ---> x = 12
Therefore. angle S = 3x + 4 = 3(12) + 4 = 40