Answer:
Let the length of shorter piece be x ft.
so '' '' '' '' '' '' = 2 x + 3
A/Q, x + 2 x + 3 = 27
3 x = 24
x = 8
Length of shorter piece = x = 8 ft.
'' '' longer '' = 2 x + 3 = 16 +3 = 19 ft.
Step-by-step explanation:
let x and y be the length of the longer and the shorter pieces of the hose respectively.
By question,
x + y = 27 --- (1)
and,
x - 2y = 3 --- (2)
subtracting (1) by (2), we get,
y-(-2y) = 27-3
=> 3y = 24
=> y = 24/3
=> y = 8
putting y = 8 in (1)
x + 8 = 27
=> x = 27-8
=> x = 19
Therefore, the length of the shorter piece is 8 ft and the length of the longer piece is 19 ft
182.4 miles/ 3 hours=
60.8 miles per hour is your answer.
<span>In general when a point is rotated through 90° counterclockwise about the origin, first notice in which quadrant the image of the point is located. Suppose the image of point P</span> (h, k). When you rotate it through 90° counterclockwise it takes the image M' (k, -h)
In the example M(-1,5) : it's located in the 2nd quadrant & if you rotate it through 90° counterclockwise M' will be located in the third quadrant where both h & k are negative. So M'(-5,-1)
-3x^2(6x^2 + 2x - 3) = -18x^4 - 6x^3 + 9x^2