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.
Number 1 is 32 and the second one is 85
Using elimination method to find y
3x - 4y = -15 (multiply 4)
4x + 3y = 5 (multiply 3)
------------------------------------
12x - 16y = -60
12x + 9y = 15
--------------------- - (substract)
-25y = -75
y = 3
Using subtitution method to find x
3x - 4y = -15
3x - 4(3) = -15
3x - 12 = -15
3x = -3
x = -1
The solution (-1,3)
Answer:
1 7/10
Step-by-step explanation:
First, you would convert the first mixed number into an improper fraction. In this case, it would be 17/4.
The next step would be to multiply the two fractions. To re elaborate, we would be multiplying 17/4 * 2/5. If you don't know how to do that, ask me.
The product is 34/20. It says to simplify the answer into a mixed number, so that would be 1 14/20, simplified to 1 7/10.
Hope this helps! :)
