Answer:
see explanation
Step-by-step explanation:
The zeros of the graph are x = - 4 and x = 2 , then the factors are
(x + 4)(x - 2) and
y = a(x + 4)(x - 2) ← a is a multiplier
To find a use any other point on the graph and substitute into the equation
Using (0, - 8 ) , then
- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )
1 = a
y = (x + 4)(x - 2) = x² + 2x - 8
with b = 2 and c = - 8
The graph is increasing from the turning point ( vertex) to the right
vertex = (- 1, - 9 )
Increasing in the interval [- 1, ∞ )
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
The solutions of given equation are -3, -1 and 3.
You would multiply both sides by 3 to cancel out the divide 3.
z÷3=8
z=24
Answer:jjjexhnjkhjjn 677
Step-by-step explanation: