Answer:
StartFraction uppercase V squared minus v squared Over 2 s EndFraction = a
Step-by-step explanation:
Answer:
The x-intercepts are the points (-4,0). (2,0) and (9,0)
The location of the x-intercepts in the attached figure
Step-by-step explanation:
we know that
The x-intercepts of a function are the values of x when the value of the function is equal to zero
we have
using a graphing tool
The x-intercepts are the points (-4,0). (2,0) and (9,0)
see the attached figure
Answer:
c=-24
Step-by-step explanation:
You should perform the inverse of addition and multiplication
The inverse of addition is subtraction so we subtract 4 on both sides:
4-4-c=26-4
Which will be
-c=24
Divide by -1 since the inverse of multiplication is division
-c/-1=24/-1
So the answer will be:
c=-24
Answer:
14,062.5ft^2
Step-by-step explanation:
A farmer has a given length of fencing. Since this fencing is used to enclose a rectangular area, before it is then divided it into four pens using the same provided fencing material. This will definitely lead to five lengths of fencing which come along one side of the rectangle to form four pens.
Let us assume that the length of the each of the five sides be xft.
Then let the length of each of the two sides in the be yft.
Since the total length of fencing available is 750 feet.
Then we can have an equation of such:
5x+2y=750
Making y the subject
2y = 750-5x
y = 750-5x/2. ........1
The area of the rectangular region is given by:
A = xy. ......... 2
Combining (1) in (2) to find the area
A(x)= x. (750−5x)/2
=750x−5x^2/2 ........... (*)
Going by the means of first diffential calculus.
A(x)=750x−5x^2/2
A'(x) = 750-10x/2
Setting A'(x) = 0
750-10x/2 = 0
750-10x = 2×0
750-10x = 0
750= 10x
x = 750/10
x = 75
Now that we have x = 75
We can now substitute into equation (*)
A(x) = 750×75-5×75^2/2
= (56250-28125)/2
= 28126/2
= 14062.5
Hence the rectangular region of maximum area is
14062.5ft^2
Y=cd-8
Add 8 to each side giving you
y+8=cd
Divide by d on each side giving you
C=(y+8)/d
