Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
The answer to this would be 27 inches. Hope this helped !
Answer: volume = 309.4 cubic meter
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
h represents the height of the cylinder.
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Height = 2.1 meters
Diameter of circular base = 13.7 meters.
Radius = diameter/2 = 13.7/2 = 6.85
Therefore,
Volume = 3.14 × 6.85² × 2.1 =
309.4 cubic meter to the nearest tenth
Answer:
b) -2
Step-by-step explanation:
The equation is in the form
y= mx+b where m is the slope and b is the y intercept
y = -x-2
The slope is -1 and the y intercept is -2