Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
Multiply 1st equation by 5
-5x + 10y = -20
now you have
-5x + 10y = -20
5x - 10y = 20
---------------------add
0 + 0 = 0
0 = 0
answer
C. the system has infinitely many solutions
Answer:
3.4
Step-by-step explanation:
I think that you mean "How do you estimate the square root of 12."
1. √12 is between √9 and √16, which are 3 and 4
2. We know that the square root of 12 is between 3 and 4, and we can estimate to the tenth, getting 3.4
One way is to solve (it's easier)
x-9>29
add 9
x+9-9>29+9
x+0>38
x>38
just pick the numbers bigger than 38 as answer
47 is only number (38>38 is false)
answer is A
