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>
Answer
Everything will increase.
Step-by-step explanation:
According to the question, the chair rises every 4 seconds 14 feet high. Therefore, the relationship between the chair and time is: the chair rises every 4 seconds.
Feel free to copy it I don't mind :)
3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3
-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2
x=2
y=1.5
Multiples of 5 end in 5 or 0 this would mean
5,10,15,20,25,30,35,40 are all multiples of 5
X=number of years after 2000.
y=percentage of residents (still) reads newspapers for information
initial value (= y-intercept) = percentage in 2000 = 54%
slope = increase each year = -1.7% (because it is a decrease)
the slope intercept form of the equation is therefore:
y=slope(x)+initial value, or
y=-1.7x+54 (in %)
