Answer:
yes to both
Step-by-step explanation:
(1) For y=1, and x=a, ...
a² + 1² ≤ 3
-√2 ≤ a ≤ √2 . . . . . subtract 1 and take the square root
All values of "a" are less than 2 inside the circle.
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(2) For y=4 and x=a, ...
2·4 +4·a = 10
4a = 2 . . . . . . . subtract 8
a = 1/2 . . . . . . .divide by 4
The value of "a" for point (a, 4) on the line is less than 2.
NO.2 answer is 5088.052869
The total cost of the least expensive fence would be $800.
To minimize perimeter and maximize area we take factors that are as close to equal as possible. In this case, the closest whole number factors are 200 and 100. Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.
100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.
200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides
$400 + $400 = $800
Answer:
A. Unit rate.
Step-by-step explanation:
We have been given a statement and we are supposed to choose the correct option for our given statement.
Statement:
A constant of proportionality can also be considered a(n) <u> </u> .
Since we know that constant of proportionality represents the amount by which two proportional quantities vary.
Two quantities are directly proportional, when they are in form
, where k represents the constant of proportionality.
We can represent this proportion also as: 
Since k represents the quotient of y and x, so the value of k represents the unit rate for two quantities y and x, therefore, a constant of proportionality can also be considered an unit rate.