Answer:
The y-intercept of the line is 32
Step -by -step explanation :
The general form of equation of a line that will pass through the three points is:
y=mx+c
where m is the gradient and c is the y-intercept
Now, find the gradient.
Take,
By substitution,
we now put the values of m, x and y into the general equation to find the c
Hence the y-intercept of the line is 32
Answer:
5.85 m
Step-by-step explanation:
The width of the sand road can be calculated knowing its area and the dimensions of the rectangular garden as follows:
<u>Where:</u>
Ag: is the area of the rectangular garden
a: is the length of the rectangular garden = 50 cm = 0.5 m
b: is the width of the rectangular garden = 34 m
<u>Where</u>:
As: is the area of the sand road
The relation between the area of the sand road and the area of the rectangular garden is the following:
By solving the above equation for x we have two solutions:
x₁ = -23.10 m
x₂ = 5.85 m
Taking the positive value, we have that the width of the sand road is 5.85 m.
I hope it helps you!