Have a lawn at the front of my house and one at the back. Both lawns are rectangular, with all edges a whole number of metres, and each has an area of 120m², so it takes me the same amount of time to mow both of them. However, the perimeter of the back lawn is 12m greater than the perimeter of the front lawn, so it takes me longer to trim the edges of the back lawn than the front lawn.

What is the difference between the length and the width of the back lawn?

full solution is needed!

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).

the answer is -1 for this question

step-by-step explanation: