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A rectangle's width is 6 feet less than its length Write a quadratic function that expresses the rectangle's area in terms of its length?
Let the length of the rectangle be represented by ( l ). Then, the width can be expressed as ( w = l - 6 ). The area ( A ) of the rectangle is given by the product of its length and width, so ( A = l \times w = l \times (l - 6) ). This simplifies to the quadratic function ( A(l) = l^2 - 6l ).
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A rectangles width is 5 feet less than its length If the area of the rectangle is 546 square feet what is its length in feet?
Let the length of the rectangle be ( L ) feet. Then the width is ( L - 5 ) feet. The area of the rectangle can be expressed as ( L \times (L - 5) = 546 ). Solving the equation ( L^2 - 5L - 546 = 0 ) using the quadratic formula gives ( L = 27 ) feet (the positive solution). Thus, the length of the rectangle is 27 feet.
What does the relationship between the length and the width of rectangles with the same area mean?
The relationship between the length and width of rectangles with the same area means that if you decrease one dimension, you must increase the other to maintain the same area. This relationship is described by the formula for the area of a rectangle: Area = length x width. Changing the length and width proportionally maintains the overall area constant.
What is the membrane of a nerve cell is comprised of?
Its main function is to propagate the action potential (the 'impulse') along the length of the axon.
The ability of smooth muscle to function over a wide range of lengths is called what?
The ability of smooth muscle to function over a wide range of lengths is called plasticity or length-tension relationship. This allows smooth muscle to contract effectively regardless of changes in its length or stretch.
How long are polysaccharide chains?
Polysaccharide chains can vary in length, usually containing hundreds to thousands of monosaccharide units. The length of a polysaccharide chain is dependent on the specific type of polysaccharide and its biological function.
A rectangles width is 5 feet less than its length Write a quadratic function that expresses the rectangles area in terms of its length?
A(l)=l2-5l
Does the formula for the area of the square with the side represent a quadratic function?
Yes, the formula for the area of a square, given by ( A = s^2 ) (where ( s ) is the length of a side), represents a quadratic function. The relationship between the area and the side length is quadratic because the highest exponent of the variable ( s ) is 2. This means that as the side length increases, the area increases at an increasing rate, characteristic of a quadratic function.
How many rectangles have whole number as length and width?
There are infinitely many such rectangles.
How do you get rectangles from a list of factor pairs?
The factor pairs are the length and width of the rectangles.
How do you determine if rectangles are Simular?
If the 'ratio' (length/width) of one rectangle is the same number as (length/width) of the other one, then the two rectangles are similar.
Are the diagonals of rectangles equal in length?
Yes.
Do some rectangles have 4 sides the same length?
Yes, they are called squares. Squares are a subset of rectangles.
How do you find the areas of the rectangles?
multiply the length with the breadth.
What are three rectangles with the length and width of 24cm?
The answer is 576cm.
What are the rectangles found by the greek that have the same perimeter and length?
No rectangle can have equal perimeter and length.
What has 6 congruent rectangles?
A larger rectangle whose width is twice as long as one of the smaller rectangles and whose length is three times that of one of the smaller rectangles.
Why is rectangle not a square?
All squares are rectangles but not all rectangles are squares. A square has all sides the same length and all internal angles 90 degrees. A rectangle has opposite sides the same length and internal angles of 90 degrees.
