The area of the rectangle is given as (32x+48)square inches
The question is asking us to factor this expression.The common factor of the two expression is 16.Taking 16 as the common factor we have:
(32x+48)= 16(2x+3)
The next part of the question is asking us to Write an expression for the width when length of the rectangle is 16 inches.
Area of rectangle = length x width
Let w represent the width of the rectangle.
16 (w) =16(2x+3)
Dividing both sides by 16.
w= 2x+3.
It will reach 80 feet for the second time after 5 seconds.
We set the equation equal to 80 feet:
80= -16t² + 96t
When solving quadratics, we want it equal to 0, so we subtract 80 from both sides:
80-80= -16t² + 96t - 80
0= -16t² + 96t - 80
We use the quadratic formula to solve:
Answer:
The greatest number of rectangles that can be cut from the piece of metal = 12
Explanation:
The dimension of the piece of metal = 16cm x 20cm
That is:
Length of the piece of metal = 20 cm
Width of the piece of metal = 16 cm
The dimension of the rectangle = 6cm x 4cm
Length of the rectangle = 6cm
Width of the rectangle = 4cm
The diagram below illustrates how the rectangles can be cut from the piece of metal
Considering the diagrams drawn above, and counting the rectangles formed, we can conclude that the greatest number of rectangles will be cut using the approach on the left, hence the greatest number of rectangles that can be cut is 12