The equation to find the length of the longer piece is
x- 12 = 55
Step-by-step explanation:
- A carpenter had two pieces of lumber that totaled in length = 55 feet
- The shorter piece than the longer piece has length of which is = 12 feet
- The longer piece is denoted as= x
- Find x = ?
- The equation can be formed to find the value of x as,
- Longer piece (x) ₋ shorter piece (12) = total length (55)
- Therefore, x ₋ 12 = 55
- the above equation states that
- if you subtract the shorter piece from the total length of the you will get the length of the longer piece.
- therefore,
- if you shift the value of shorter length on the right hand side, you can find the value of x
- so, x= 55 ₋ 12
- value of x = 43
- therefore, the length of the longer piece is 43 feet long.
The domain is {-9,-4,3,9}
The range is {2}
Answer: Its D :)
Step-by-step explanation:
Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,
Using distance formula,

(we'll not consider the negative value since distances can't be negative)
Applying this again on 2nd and 3rd coordinates,

(we'll not consider the negative value since distances can't be negative)
Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units
Hence width is 1 unit shorter than length.
Note: Unit used is "unit/s"
Answer:
82
Step-by-step explanation:
f(x) = 5x - 3
g(x) = 2x + 9
f(g(x)) = 5 (2x + 9) - 3 ..... replace x with g(x)
f(g(4)) = 5 * (2 * 4 + 9) -3 = 85 - 3 = 82