X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.
Answer:
The plans will cost the same for $260 minutes of calling. These minutes will cost $52.20
Step-by-step explanation:
Plan A: $8 + ($0.17/min)t
Plan B: $21 + ($0.12/min)t
Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:
($0.17/min)t - ($0.12/min)t = $13, or
($0.05/min)t = $13 , so t = 260 minutes. The plans will cost the same for $260 minutes of calling.
Find the cost in this situation: It is $21 + ($0.12/min)(260 min), or $52.20
Answer:
9
inches
or
12.728 inches
Step-by-step explanation:
Use Phytagorean Theorem

Since both all sides of a square are equal, this means that
and
are equal.
So that leaves us with:

Simplify

Divide both sides by 2

Simplify

Find the square root of both sides

a = 9
(or if you want the decimal, rounded to the 3rd decimal place: 12.728)
Carats, known as ct, is a measure of weight used for gemstones.One carat is equal to 1/5 of a gram (200 milligrams). Stones are measured to the nearest hundredth of a carat. So, the equation would be as follows:
m = c x 200
where m is the mass in units of milligrams and c is the weight in units of carats.
Hope this helped. Have a nice day.