Answer:
Step-by-step explanation:
Required
The equation of the circle
The equation of a circle is:
Where:
From the graph, we have
So:
becomes
What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?
1 answer:
Answer:
Step-by-step explanation:
<h2><u>Lesson : Finding vertex from quadratic functions ,</u></h2><h2><u /></h2>Given:
f(x) = (x - 3)(x - 2)
"Vertex"
Find the x intercepts by using the zero product property,
(x - 3) (x - 2) = 0
x = 3 x = 2
X-int = (3,0) , (2,0)
Now find the y intercepts by factoring the equation ,
(x - 3)(x - 2)
x * x
x^2
x * -2
x^2 -2x
-3 * x
x^2 -2x -3x
-3 * -2
x^2 -2x -3x + 6
Combining like terms:
x^2 -5x + 6
Replace x with zero,
0^2 -5(0) + 6
6
y intercept = (0,6)
Now graph :
Graph shown
Find vertex -
You might be interested in
Answer:
It will be an equilateral triangle and the area is 1924.5 sq. meters.
Step-by-step explanation:
If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.
Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.
So, the equilateral triangle with a perimeter of 200 meters will have side lengths of meters.
Now, the area of an equilateral triangle with sides a units is given by sq. units.
So, the area of the above equilateral triangle will be = sq. meters. (Answer)