Answer:
x²+(y-5)²=25
Step-by-step explanation:
To convert polar into rectagular
also, y=rsin θ => sin θ=y/r
r= 10sinθ
r= => r²=10y
therefore, x²+y²-10y=0
By completing the squares on y²-10y gives
x²+(y-5)²=25
which is the equation of the circle.
This is the Cartesian equation of a circle with center (
0,
5)
and radius, r=5
Answer:
It should be option a 4.5
Answer:
t=0.93 seconds or t=0.07 seconds
Step-by-step explanation:
If
The time when the projectile lands on the ground is when its height, h=0.
Using Factoring by Perfect Squares
Divide all through by the coefficient of
Next, divide the coefficient of t by 2, square it and add it to both sides.
Taking square roots of both sides
Therefore:
Answer:
f(g)x))= x^2 -6x +4
Step-by-step explanation:
first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5
then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5
when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5
finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4
note: x^2 is x squared or exponent of 2