Answer:
Step-by-step explanation:
Given:
- One rope is 4 out of 8 yard =
=
=
- The other rope is 1 out of 2 yard =
They have the same length
If the rectangular field has notional sides X and y then it has area
A(x) =xy { =6•10^6 sq ft }
The length of fencing required, if
x
is the letter that was arbitrarily assigned to the side to which the dividing fence runs parallel, is:l (x) = 3x +2y
It matters not that the farmer wishes to divide the area into 2 exact smaller areas.
Assuming the cost of the fencing is proportional to the length of fencing required, then
C(x)=a L (x)
To optimise cost, using the Lagrange Multiplier
λ
, with the area constraint :
So the farmer minimises the cost by fencing-off in the ratio 2:3, either-way
Answer:
1. -5
2. -24
3. 0
Step-by-step explanation:
Sum means addition.
Product means multiplication.
A negative times a negative will give you a positive.
Anything times zero is zero.
1. -2 + 5 + (-8) = -5
2. -1 * -4 * -6 = -24
3. 10 * 0 *-9 = 0
The first bus stop is 4 miles from the school. 1 mile is 1760 yards. Multiply 1,760 by 4 to get 7,040 yards. The first bus stop is 7,040 yards from the school.
The require degenerative circle is (x - 5)² + (y - 1)² = 0. Option C is correct.
Given that,
The equation for the degenerative circle is to be determined.
<h3>What is a circle?</h3>
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.
Thus, the required degenerative circle is (x - 5)² + (y - 1)² = 0.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1