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
(4ab^2-5ba-2ba^2+a^2+4b^3+a^3)(2b+a)/ a-4b^2
Three hundred ten million, seven hundred sixty three thousand, one hundred thirty six
Answer:
Figure RST is congruent is R´S´T´
Step-by-step explanation:
Given that R´S´T is a reflection of RST, we know that is a rigid transformation, so it is congruent (the same size & shape).
Answer:
12 inches in 1 foot
Step-by-step explanation:
In this problem, we need to find an example that is a scale.
There must be a relation between two units.
There are many types of units of lengths. These can be metre, cm, mm, foot, inches.
The relation between inch and foot is given by :
1 foot = 12 inch
So, we can say there are 12 inches in 1 foot.
<u>Hence, the correct option is (c).</u>
