What is the solution to the equation: 5 = 2/5a A: 2 B: 4 2/3 C: 12 1/2 D: 25
1 answer:
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The measure of the central angle is 4 radians
<h3><u>Solution:</u></h3>Given that central angle of a circle intercepts an arc of length 28 centimeters
The radius of the circle is 7 centimeters
<em><u>To find: measure of the central angle in radians</u></em>
The arc length of circle when is measured in radians is given as:
Where "s" is the arc length
"r" is the radius of circle
is the central angle in radians
Substituting the values in formula,
Thus the measure of the central angle is 4 radians
Answer and Explanation:
Given : The quadratic function
To find : Determine the following ?
Solution :
The x -intercept are where f(x)=0,
So,
Applying middle term split,
The x-intercepts are (4,0) and (-3,0).
The smallest x-intercept is x=-3
The largest x-intercept is x=4
The y -intercept are where x=0,
So,
The y-intercept is y=12.
The quadratic function is in the form,
On comparing, a=-1 , b=1 and c=1 2
The vertex of the graph is denote by (h,k) and the formula to find the vertex is
For h, The x-coordinate of the vertex is given by,
For k, The y-coordinate of the vertex is given by,
The vertex of the function is
The x-coordinate of the vertex i.e. is the axis of symmetry,
So, (solved above)
The axis of symmetry is .