Answer
It’s the first one I guess
Since it’s obviously given in the sequence
Hope it’s correct
Sorry if wrong :’(
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
Answer:
y = -3.71x + 147.25
Step-by-step explanation:
I think the rule has something to do with adding. I noticed that when the input was at 0 the output was 20, When the input was 15 the output was 5, when the input was 8 the output was 12, and so on. I think the rule is, no matter what number is in the input or the output, it must equal 20.
Hope This Helps!
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
