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:
27.44
Step-by-step explanation:
area of the half sircle = 12.56
area of the rectangle = 40
area of the shaded protion = 40 -12.56
=27.44 square yards
Answer:
2x + 4
Step-by-step explanation:
Let R = Ralph's age
and x = Sarah's age
Then Ralph's age in 4 years = R + 4
and Sarah's age in four years = x + 4
Thus, R + 4 = 2(x + 4)
Distribute the 2 R + 4 = 2x + 8
Subtract 4 from each side R = 2x + 4
Ralph's age is 2x + 4.
" · " - times
" + " - sum
n - a number
0.5n - half a number
10 · (0.5n + 6) = 8 |use distributive property
(10)(0.5n) + (10)(6) = 8
5n + 60 = 8 |substract 60 from both sides
5n = -52 |divide both sides by 5
n = -10.4
Answer:
84 dollars, A
Step-by-step explanation:
420/5 = 84
