Answer:
1000 m of fence can make a 3-sided enclosure of 125,000 m²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the perpendicular dimension is ...
width = (1000 -x)/2
and the enclosed area is ...
area = length×width = (x)(1000 -x)/2
This describes a downward-opening parabola with zeros at x=0 and x=1000. The vertex (maximum) is halfway between, at x=500.
Then the maximum area is ...
area = (500)(1000 -500)/2 = 125,000 . . . . square meters
The answer is 73567374 so even
Answer:
13.
parallel: y = 1/3x -3
perpendicular: y = -3x - 3
14.
parallel: y = 4x - 1/2
perpendicular: y = -1/4x - 1/2
15.
parallel: y = -2x + 4
perpendicular: y= 1/2x + 4
16.
parallel: y = -2x-2
perpendicular: y= 1/2x-2
17.
parallel: y = -2x+8
perpendicular: y= 1/2x + 8
Step-by-step explanation:
A perpendicular has a negative reciprocal slope and a parallel has the same slope
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠A ∠B = 90 ← substitute values
5x - 27 + 4x - 27 = 90, that is
9x - 54 = 90 ( add 54 to both sides )
9x = 144 ( divide both sides by 9 )
x = 16
Hence
∠A = 5x - 27 = (5 × 16) - 27 = 80 - 27 = 53°
∠B = 4x - 27 = (4 × 16) - 27 = 64 - 27 = 37°
Answer:
It should be C
Step-by-step explanation:
