Answer:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
hope that it helped you
Given:
The equation of a line is:
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
It can be rewritten as
...(ii)
On comparing (i) and (ii), we get
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
Therefore, the equation of the required parallel line is .
Answer:
176 feet per minute
Step-by-step explanation:
Answer:
36 cm
43.27 cm
Step-by-step explanation:
= Radius of bucket = 18 cm
= Height of bucket = 32 cm
= Radius of cone
= Height of cone = 24 cm
The volume of the cylindrical bucket and the conical heap of sand is equal so
The radius of the heap is 36 cm.
Slant height is given by
The slant height of the heap is 43.27 cm.
Answer:
- 5/48, 3/16, .5, .75, 13
- 1/5, .35, 12/25, .5, 4/5
- -3/4, -7/10, 3/40, 8/10
- -.65, -3/8, 5/16, 2/4
Step-by-step explanation:
- 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
- 1/5 = .2 | 12/25 = .48 | 4/5 = .8
- -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
- -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5