The population of the Wallingfried neighborhood has been growing steadily since 1981. In 1985, the population was 28000 people.
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The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.
The length of a rectangle is 5 more than the width. The area is 126 square feet.
We need to find the length and width of the rectangle.
<h3>What is the area of a rectangle?</h3>The area of a rectangle is calculated by multiplying the rectangle's length by its width.
Let the width of the rectangle be x, then the length of the rectangle be x+5.
We know that the area of the rectangle = Length×Width
Now, the area of the rectangle = (x+5)×x=126 square feet.
⇒
⇒
⇒
⇒.
Since length cannot be a negative integer.
So, Width=9 feet and Length=9+5=14 feet.
Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.
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The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>Suppose that there is a line segment such that a point P(x,y) lying on that line segment
divides the line segment
in m:n, then, the coordinates of the point P is given by:
where we have:
- the coordinate of A is
- and the coordinate of B is
We're given that:
- Coordinate of A is
= (-7,2)
- Coordinate of B is
= (9.-6)
- The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)
Let the coordinate of P be (x,y), then we get the values of x and y as:
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
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