4/5
It is 0.8
5/9
is 0.555....
The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
Answer:
n = 20 or n = -2
Step-by-step explanation:
Solve for n over the real numbers:
n^2 = 18 n + 40
Subtract 18 n + 40 from both sides:
n^2 - 18 n - 40 = 0
The left hand side factors into a product with two terms:
(n - 20) (n + 2) = 0
Split into two equations:
n - 20 = 0 or n + 2 = 0
Add 20 to both sides:
n = 20 or n + 2 = 0
Subtract 2 from both sides:
Answer: n = 20 or n = -2
We are required to find the total sum of money given the fraction
The total sum of money is $9
let
<em>Total sum of money</em> = x
<em>8 1/3 of x = $75</em>
8 1/3 × x = $75
25/3 × x = 75
25/3x = 75
Divide both sides by 25/3
x = 75 ÷ 25/3
x = 75 × 3/25
x = (75 × 3) / 25
x = 225 / 25
x = 9
Therefore, the total sum of money is $9
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