You install 618 feet of fencing along the perimeter of a regular yard. The width of the yard is 152 feet. What is the length of the yard?

The length of the yard is 157ft.

Step-by-step explanation:

We are being given the perimeter and the width. We know that the perimeter (in this specific problem) is equal to the length times two plus the width times two, so in order to find the length of the yard this is the process:

152 x 2 = 204

Now we subtract this from the perimeter, leaving us with a number that we know is twice the length

618 - 204 = 314

Now we divide by two, in order to get the length.

314/2 = 157

So our final answer would be 157ft.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9