Answer:
y = - 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = =
=
= - 0.5
The line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - 0.5x + 0 . that is
y = - 0.5x
Answer:
Kira takes 35 minutes to get ready for school.
Step-by-step explanation:
The time taken by Jared to get ready for school is, 60 minutes.
Time taken by Kira to get ready for school is times as much as Jared needs.
Compute the time taken by Kira as follows:
Time taken by Kira
Thus, Kira takes 35 minutes to get ready for school.
If expression is like this :
_______________________
If expression is like this :
Answer:
Minimum dimensions are r=3cm, h=9cm
Minimum Cost=$254.47
Step-by-step explanation:
Volume of a Cylinder=πr²h
Volume of the Open Top Cylinder=81π cm³.
Therefore:
πr²h=81π
The bottom costs $3 per cm² and the side costs $1 per cm².
Total Surface Area of the open top Cylinder= πr²+2πrh
Cost, C=3πr²+2πrh
As the Volume is fixed.
πr²h=81π
r²h=81
h=81/r²
Modifying C,
We differentiate C with respect to r
C'=
At the minimum cost, C'=0.
Next we solve C'=0 for r
6πr³-162π=0
6πr³=162π
r³=27
r=3
The dimensions of the cylinder at minimum cost are therefore:
r=3 cm
h=81/9=9cm
The minimum cost of the Cylinder
C=3πr²+2πrh
=(3XπX3²)+(2XπX3X9)
=$254.47