For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
Answer: 11 down and 9 right
<u>Step-by-step explanation:</u>
Slope IS rise over run where the top number of the fraction (numerator) determines the vertical distance --> positive is up, negative is down
and the bottom number of the fraction (denominator) determines the horizontal distance --> positive is right, negative is left.
Given slope = -11/9
the numerator is -11 so the "rise" is DOWN 11 units
the denominator is 9 so the "run" is RIGHT 9 units
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
A=2(LW+LH+WH)
A=2((7/8)(1/3)+(7/8)(2/5)+(1/3)(2/5))
A=2(7/24+14/40+2/15)
A=14/24+28/40+4/15
A=7/14+7/10+4/15 210
A=(105+147+56)/210
A=308/210
A=(210+98)/210
A=1 98/210
A=1 7/15
Answer:
-6
Step-by-step explanation:
7k − 5k + 8 = −4
2k+8=-4
-8 -8
2k=-12
/2 /2
k=-6
<u><em>Check!</em></u>
7(-6)-5(-6)+8
-4=-4
