What is the slope of a line that passes through the points (1 , 5) and (-1 , 3)?
1 answer:
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Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. . So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is
. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
Answer:
If Length is decreased by 10% then it would become a square.
Step-by-step explanation:
Given:
Area of Rectangular field = 1440 sq. m
Perimeter = 152 m.
We need to find which one needs to be decreased by what percentage to make it a square.
Solution:
Let length be denoted by 'l'.
Also Let width be denoted by 'w'.
Now we know that Area of rectangular field is given by Length times width.
framing in equation form we get;
Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.
framing in equation form we get;
Now Substituting equation 2 in equation 1 we get;
Now we will find the root by factorizing the same we get;
Now solving for each to find the value of 'w' we get;
So We can say that;
Width = 36 m and Length = 40 m
Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.
We know that square has all sides same.
So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.
So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.
framing in equation form we get;
percentage decreased =
Hence If Length is decreased by 10% then it would become a square.