well if you want straight answers.
#1 = Prism
#2 = Sphere
#3 = Pyramid
#4 = Prism
#5 = Pyramid
#6 = Cylinder
I don't know if you can use the same answer twice but if you can here you go!
Answer:
x > -6
Step-by-step explanation:
Here in this question, we have to solve for x from the given inequality
-6 > -30- 4x.
We can solve the inequality equation by using the properties of inequality.
We have, -6 > -30 -4x
⇒ -6+30 > -4x
{The summation and subtraction rules of the inequality equation is similar to that of ordinary equations}
⇒24 > -4x
Dividing both sides by -1, we get,
⇒-24 < 4x
{In case of division of both the sides of an inequality by a negative number, the inequality sign changes from > to < and vice-versa}
⇒4x > -24
Dividing both the sides by 4, we get
⇒ x > -6 {There is same rule as equality equation for division both sides by a positive number} (Answer)
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
