You can do this without drawing even. Let's say the coordinates are
A, B and C, respectively, and we're looking for D.
If the other vertex is opposite A(2,1), it will be at B+C-A = (8, 11)
If the other vertex is opposite B, it will be at A+C-B = (4, -1)
If the other vertex is opposite C, it will be at A+B-C = (0, 3)
Explanation: think of one of the vertexes as a corner of the parallelogram and you want to travel to the opposite corner. That means you must add both vectors that represent the sides. So from A to D, you'd have to add (B-A) and (C-A). That gives us A+(B-A)+(C-A) simplifies to B+C-A.
what is
?
all you gotta do is substitute the value of
in the equation:

now solve for
:

so the value of

Ten hundredths: 10/100 = 1/10
Simplifies to: 0.1 (one-tenth)
Answer:
106.68 cm long
Step-by-step explanation:
Let's use a ratio:
inch : centimeters
16 : 40.64
1 : 2.54
42 : 106.68
The ribbon would be 106.68 cm long.
The y-intercept of f(x) = 5x - 45 would be -45, as that is what is represented in the equation. The way to find the x-intercept would be to solve the equation when f(x) = 0.
0 = 5x - 45
+ 45 + 45
45 = 5x
/5 /5
9 = x
And there we have it.
The intercepts of f(x) = 5x - 45 are as follows:
y-intercept = -45
x-intercept = 9
Hope that helped =)