Answer:
1 hour
Step-by-step explanation:
Lea's speed = 22km/hr
Trevon's speed = 43km/hr in a direction opposite Lea's
How long does Trevon needs to drive before they are 65km apart.
Note : both took at the same time and in opposite direction.
Recall : speed = distance / time
Distance = speed * time
Distance between them = 65km
Let Trevon's distance = D2 = 43 * t
Lea's distance = D1 = 22 * t
t is the same since they both left at the same time.
D2 + D1 = 65
43t + 22t = 65
65t = 65
t = 65/65
t = 1 hour
Answer:
X product of powers
Quotient of powers
Power of a power
X power of a product
Negative exponent
X zero exponent
Hope this helps ʕ•ᴥ•ʔ
The polar equation of an ellipse is
.
The vertices of ellipse are (−1,0) and (3,0).
The polar equation of an ellipse can be represented as
![r=\frac{ep}{1+ecos\theta}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bep%7D%7B1%2Becos%5Ctheta%7D)
where e is the eccentricity.
Eccentricity, e = ![\frac{c}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Ba%7D)
c is the distance from the center to the focus and a is the distance from the center to the vertex
![c=\frac{3-(-1)}{2}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B3-%28-1%29%7D%7B2%7D)
⇒ ![c=\frac{4}{2}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B4%7D%7B2%7D)
⇒ c = 2
![a=\frac{3+(-1)}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B3%2B%28-1%29%7D%7B2%7D)
⇒ ![a=\frac{2}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B2%7D%7B2%7D)
⇒ a = 1
Then, e = ![\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D)
⇒ e = 2
Now, the polar equation of an ellipse becomes as,
⇒
------- (1)
Now plug in a vertex point such as (-1,0) and solve for p,
⇒ ![-1=\frac{2p}{1+2cos0}](https://tex.z-dn.net/?f=-1%3D%5Cfrac%7B2p%7D%7B1%2B2cos0%7D)
⇒
[∵ cos 0 = 1]
⇒ ![-1=\frac{2p}{3}](https://tex.z-dn.net/?f=-1%3D%5Cfrac%7B2p%7D%7B3%7D)
⇒ ![-3=2p](https://tex.z-dn.net/?f=-3%3D2p)
⇒ ![p=-\frac{3}{2}](https://tex.z-dn.net/?f=p%3D-%5Cfrac%7B3%7D%7B2%7D)
Thus the polar equation of an ellipse (1) becomes as,
⇒ ![r=\frac{2(-\frac{3}{2} )}{1+2cos\theta}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B2%28-%5Cfrac%7B3%7D%7B2%7D%20%29%7D%7B1%2B2cos%5Ctheta%7D)
⇒ ![r=-\frac{3}{1+2cos\theta}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B3%7D%7B1%2B2cos%5Ctheta%7D)
Hence we can conclude that the polar equation of an ellipse is
.
Learn more about polar equation of an ellipse here
brainly.com/question/17571182
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Answer:
The ratio of the diameter to the circumference is the same for both sides.
Step-by-step explanation:
Their the same