Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is
The slope of line AB is 
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD =
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line CD is , it means the line must be of the form
Coefficient of x is only in option a.
Therefore, the correct option is a.
Answer:
x = 2, y = 9 or (2,9)
Step-by-step explanation:
Hello!
The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1
We can plug in the first equation into the second like this:
2x + y = 13 (we know y so we can plug it in)
2x + (5x - 1) = 13
2x + 5x - 1 = 13
7x - 1 = 13
Now we add 1 to both sides
7x - 1 + 1 = 13 + 1
7x = 14
x = 2
Now we plug in x to find y:
y = 5x - 1
y = 5(2) - 1
y = 10 - 1
y = 9
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Answer:
35.113 km per hour is the correct answer
