For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Hello there,
Okay so the question is asking us to subtract the two mixed numbers, 6 3/5 - 2 4/5, from each other...
The first step would be to change the mixed numbers to improper fractions:
- 6 3/5 as improper fraction would be 33/5
- 2 4/5 as improper fraction would be 14/5
Now we need to make sure that the denominators are the same and in this case they are.
Simply subtract 14 from 33 and you would get 19 and the denominator stays the same so you would get 19/5.
- Now turn 19/5 into a mixed number and you would get 3 4/5
The answer to the 6 3/5 - 2 4/5 would be 3 4/5.
Hope I helped,
Amna
Answer:
2 hours
Step-by-step explanation:
First we need to know the distance Liam travelled using the bike.
If his speed was 8 mph and he travelled 3 hours, the distance travelled by bike is:
d = 8 * 3 = 24 miles
The total distance is 30 miles, so the remaining is:
30 - 24 = 6 miles
He travelled 6 miles with the speed of 3 mph, so the time walking is:
time = 6 / 3 = 2 hours
In slope intercept form it is y=2/3x-4
In point slope form it is 2/3x-y-4 :)
