Answer:
The answer is a= 128.95 and b = 14.75
Step-by-step explanation:
Solution
Given
let the equation of the hyperbola be denoted as x2/a2 - y2/b2 = 1 here, we will consider the foci on the x-axis. All units are considered to be in mm.
From question stated, with x and y coordinates represents height and radius respectively,
Then,
When x = 83 + a, y is = 45/2 = 22.5 and
At x = 180 + a, y is = 57/2 = 28.5
It is important to know that, the height is estimated from the focus so we a a is included to the heights.
Thus,
(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1
By using a calculator we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
Answer:
cowefficients
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mo<u>oo</u>nomial
Step-by-step explanation:
i'm just making some really cheesy answers here
Jenna's age Jessica's age
today x x + 5
in 5 years x+5
5 years ago x + 5 - 5
Equality x + 5 = x + 5 - 5
=> x + 5 = x
The equation is x + 5 = x
That equation has not any solution, because it reduces to 5 = 0, which is an absurd.
So, the conclusion is that information given by Jenna is wrong.
It is logical: if the difference of the ages is 5, in five years Jenna will have 10 years more than what her sister had 5 years ago, no 5 as she told Jessica.
The initial population is
P₀ = 94 million in 1993
The growth formula is

where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.
Because P(5) = 99 million (in 1999),

In the year 2005, t = 12 years, and

Answer: 106 million (nearest million)
The error.....Kelvin just figured the 60% markdown cost...not the final price
the final price would be : 30.65 - 0.60(30.65) = 30.65 - 18.39 = 12.26
so 12.26 is the final price
or another way to do this is : if it is marked down 60%, then u r actually paying 40%......0.40(30.65) = 12.26