3. Write each number as a product of its prime factors:
1 answer:
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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:
c) A rectangle with width of 9 mm and length of 45 cm.
d) A rectangle with width of 10 cm and length of 44 cm.
Step-by-step explanation:
Given:
Length of the rectangle = 32 in.
Width of the rectangle = 8 in.
First we will find the ratio of length by width.
Now we need to find from the given Option which rectangles are not similar to Carl's Rectangle.
So we will check for each.
a) A rectangle with width of 23 cm and length of 92 cm.
we will find the ratio of length by width.
By Definition of Similar rectangles which states that;
"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is similar to Carl's rectangle.
b) A rectangle with width of 2.5 inch and length of 10 inch.
we will find the ratio of length by width.
By Definition of Similar rectangles which states that;
"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is similar to Carl's rectangle.
c) A rectangle with width of 9 mm and length of 45 cm.
we will find the ratio of length by width.
By Definition of Similar rectangles which states that;
"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is not similar to Carl's rectangle.
d) A rectangle with width of 10 cm and length of 44 cm.
we will find the ratio of length by width.
By Definition of Similar rectangles which states that;
"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is not similar to Carl's rectangle.