To solve this problem you must apply the proccedure shown below:
1. You have the following standard form for the hyperbola given in the problem above: <span> (x-2)^2/36 - (y+1)^2/64=1
</span> 2. Therefore, you can calculate the lengtn of the transverse axis as following:
Length of transverse axis=2a
a^2=36
a=√36
a=6
Length of transverse axis=2(6)=12
Then, the answer is:12
Y-intercept: (0, -6)
x-intercept: (-8, 0)
Answer:
<h2> Amount in liters is 47.9 liters</h2>
Step-by-step explanation:
The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer
Step one:
Given data
Taryn Bought 12.6gallons of gasoline
1 gallon of gasoline is 3.8 liters
We want to convert from gallons to liters
Step two:
----if 1 gallon has 3.8 liters
then 12.6 gallons will have x liters
cross multiply we have
x= 12.6*3.8
x=47.88 liters
Hence the estimated amount in liters is 47.9 liters
Answer:
hypotenuse is 22.47 m
Step-by-step explanation:
The length of both legs of a right angle triangle are 8m and 21 m
We need to find the hypotenuse
To find hypotenuse we use Pythagorean theorem
Hypotenuse is AC and other two legs are AB and BC

Hypotenuse ^2 = 8^2 + 21^2
hypotenuse = 
= 
= 
= 22.47
So the length of the hypotenuse is 22.47 m