What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
2 answers:
Answer:
x-2 and x+5 side lengths should be used to model a rectangle.
Step-by-step explanation:
Area of a rectangle A is given by:
....[1]
where, l is the length and w is the width of the rectangle.
As per the statement:
Given the area of rectangle:
square units
Factorize this equation:
⇒
⇒
On comparing with [1] we get;
l = x-2 unit and w = x+5 unit or l = x+5 units and w = x-2 unit
Therefore, x-2 and x+5 side lengths should be used to model a rectangle.
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Answer:
The Number is 8.
Step-by-step explanation:
Let the number be x.
Given:
1/2 is subtracted from four times the reciprocal of a number, the result is 0.
Hence the equation will become like;
Now Solving the equation we get.
Now the we can see the number is 8, when 1/2 is subtracted from 4 times the reciprocal of number means 4/8 which becomes 1/2 and hence when 1/2 is subtracted from 1/2 it equals to 0.
Hence the number is 8.