Answer:
The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D
Step-by-step explanation:
Given equation as :
x² - 8 x + 41 = 0
For quadratic equation ax² + b x + c = 0
The value of x =
∴ For equation x² - 8 x + 41 = 0
Or, x =
Or, x =
Or, x =
∴ x = ( 4 + 2 i ) , ( 4 - 2 i )
Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D Answer
The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
<h3>What is triangle inequality theorem?</h3>
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.
Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.
As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,
For the sides 24 ft and c ft,
Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
Learn more about the triangle inequality theorem here;
Answer: The function is .
Explanation:
It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.
It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.
So, the initial point is (10,2) and the other point is (60,2).
The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).
The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.
So, the function is maximum at x=35. Hence the vertex is (35,30)
The standard form of the parabola is,
Where (h,k) is vertex and a is scale factor.
Since vertex is (35,30).
The initial point is (10,2).
So the function of height is.
The graph of the function is shown below.
