Answer:
111 pieces of soda
Step-by-step explanation:
step 1
Find the area of the rectangular backyard
The area of the rectangular backyard is equal to

where


substitute


step 2
Find the area of one piece of sod
The area of the rectangular piece of sod is

where


substitute

step 3
Find the pieces of sod needed
To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda
so

Round up
111 pieces of soda
Answer:

Step-by-step explanation:

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.
Thus, gradient of given line=
.
The product of the gradients of perpendicular lines is -1.
(Gradient of line)(-3/2)= -1
Gradient of line

Substitute m=
into y=mx+c:

To find the value of c, substitute a pair of coordinates.
When x= -6, y= 8,

Thus, the equation of the line is
.
Answer:
dy/dx= cos(ln(x))/x
Step-by-step explanation:
y=sin(ln(x)) given
We have to use chain rule to differentiate!
Let u=ln(x) then du/dx=1/x
So we have
if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x
where again u=ln(x) so
dy/dx=cos(ln(x)) *1/x
dy/dx=cos(ln(x))/x
I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .
The answer would be, y=-x+2