Combine the like terms, which would give you -y-1
Answer:
(- 3, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
Adding the 2 equations will eliminate the y- term, that is
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (- 3, 1 )
Since it's a right triangle, we know that we can use SOHCAHTOA for this.
To find a, we know it's the side adjacent to the angle, and our other given value is the opposite side, 18. We can use TOA, (Tangent of 15) x 18, or 18tan15
this is 15.1, so you can now use this concept to find b (hypotenuse), then add that all up to get the perimiter!
Let me know if this helps!
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
The vertex is where g(x) = 0
i.e. where 8(x^3)^2-7 is equal to x
who wrote this question, there aRE OBVIOUS errors.
