This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2
ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2 ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2 ft by nine
so
Total length = 9 × 2
we convert the mixed fraction to improper fraction
2 = 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft
Answer:
The answer to your question is the letter B. 5y³ - 18y² + 29y - 12
Step-by-step explanation:
Data
(y² - 3y + 4)(5y - 3)
Process
1.- Multiply the first terms by 5y
(y² - 3y + 4)(5y) = 5y³ - 15y² + 20y
2.- Multiply the first terms by -3
(y² - 3y + 4)(- 3) = -3y² + 9y - 12
3.- Simplify like terms
5y³ - 15y² + 20y -3y² + 9y - 12 = 5y³ + (-15y² - 3y²) + (20y + 9y) -12
4.- Result
= 5y³ - 18y² + 29y - 12
Answer:
114
Step-by-step explanation:
456 devided by 4 equals 114
i) The given function is
The domain is
ii) For vertical asymptotes, we simplify the function to get;
The vertical asymptote occurs at
iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.
iv) To find the y-intercept, we substitute 
into the reduced fraction.
v) The horizontal asymptote is given by;
The horizontal asymptote is 
.
vi) The function has a hole at 
.
Thus at 
.
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
ASA RULE
Step-by-step explanation:
As 2 angles are given and RV is common in both trianlges hence TVR is congruent to SRV by ASA rule
