Answer:
4,00 pounds
Step-by-step explanation:
When written in the
form, the slope of a line is given by the coefficient
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope
of a line and one of its points
, the equation of the line can be derived from the following formula:

Which in your case becomes

Expand the right hand side and solve for y:

The equation of a circle uses the following formula:

The center of the circle is given by (h,k). Therefore, h = -2, and k = -5. r = 1, so we can find the equation from the information given to us.
Plug in your values.


The equation of this circle is as follows:
Hey there!
The difference of a number, w, and 5 will be represented by (w – 5). Twice this would simply multiply this expression by 2, making it 2(w – 5). Finally, just set this expression equal to 2. Your equation is 2(w – 5) = 2.
To solve this, expand the two to the terms in parentheses. Then, solve the rest of the way as you would normally, using addition, subtraction, multiplication, or division to cancel out and move around terms. Remember, what you do on one side must be done to the other!
2(w – 5) = 2
(2*w – 2*5) = 2
(2w – 10) + 10 = (2) + 10
(2w) ÷ 2 = (12) ÷ 2
w = 6
Hope this helped you out! :-)
Answer:
37.7 yd
Step-by-step explanation:
The circumference of a circle can be found using the formula ...
C = 2πr
For a radius of 6 yd, the circumference is ...
C = 2π(6 yd) = 12π yd ≈ 37.7 yd
The length of the circular border was 37.7 yards.