The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Sarah spent $1,083 because $57*38=$2,166 and $2,166/2=$1083
Answer:
A
Step-by-step explanation:
Smallest to Largest
Natural numbers
Whole numbers
Integers
Rational numbers
Answer:
First member-> 1 -> "1 one"
Second member-> 11 -> "2 ones"
Third member-> 21 -> "1 two, 1 one"
Fourth member -> 1211 -> "1ones, 1 two, 2 ones"
Fifth member-> 111221 -> "3 ones, 2 twos, 1 ones"
Sixth member-> 312211 -> "1three, 1 one, 2 twos, 2 ones"
Seventh member-> 13112221 ->" 1 one, 1 three, 2 ones, 3 twos, 1 one"
Step-by-step explanation: