Answer: The last expression shows the result of 3 so it models the distance between x and y.
Step-by-step explanation:
First you will have to find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .
-4 - (-1) = -3
-5 - ( -5) = 0
-3^2 + 0^2 = d^2 where d is the distance
9 = d^2
d= 3
The distance is 3 units
Now evaluate which expression have a solution as 3.
The last expression is the answer
the absolute value for -4 is 4 , and the absolute value for -1 is 1 and 4 minus 1 is 3.
2/5 as a decimal is 0.4
4*0.1=0.4
meaning x is 0.1
Here see the attachment....:)
By the way, it's pi, not pie. just wanted you to know as you may lose marks in tests for spelling (but i may be wrong)
we know circumference is pi multiplied by the diameter.
the diameter is 2x the radius
we can re-arrange the first fact to get:
diameter (or 2x radius) = circumference divided by pi.
since the circumference is 24pi we can cancel off pi from the circumference (24pi) and pi.
now we have the diameter = 24
since the diameter is 2x the radius you divide both sides by 2 and get:
radius=12cm
Answer:
Step-by-step explanation:
We have the quadratic equation 
i.e. 
As, the roots of the quadratic equation 
are given by 
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in , we get,
i.e. 
i.e. 
i.e. 
i.e. 
and 
i.e. 
and 
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be
