The temperature decreases 5°F every hour
Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1
It would be take upto 999 revolutions.
<em>Let try to solve it,</em>
Let n represent number of revolutions.
We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.
1 mile = 63360 inches.
We will use circumference of circle formula to solve our given problem.
Circumference = pi*d , where, D represents diameter of circle.
Now, we will set the product of n and circumference of circle equal to 63360 inches as:
pi*22*n= 63360
n= 63360*7/ 22*22
n= 443520/444
n= 998.91
Therefore It would be take upto 999 revolutions.
Learn more about Circumference of circle on:
brainly.com/question/18571680
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It’s the last one. And the first one... It’s negative on the interval (3,co) and positive on (-co,-5)
2y=-6x+8
First, the slope of any equation, is always the coefficient with the variable "x".
So, the slope for this line, is -6x.
To get rid of the coefficient with y, we need to divide 2, from both sides of the equal sign.
<u>2y=-6x+8</u>
2
y=-3+4
Now that we have our new equation, we can see that the slope of our line has also changed, from -6x to-3x. Because -6÷2=-3.
And to find the perpendicular slope, you change the reciprocal of the slope so from -3 to 1/-3 and then you change the sign of the slope so from 1/-3 to 1/3. That is your final answer.
The answer is 2) 1/3.
