The vertex of the given quadratic polynomial function is (6, 8)
A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.
Given polynomial function x² - 12x + 44
Now, x = (-b/2a)
x = (12/2)
=> x = 6
Now, y = 6² - 12×6 + 44
y = 36 - 72 + 44
=> y = 8
Therefore, Vertex = (6, 8)
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Answer:
28.3
Step-by-step explanation:
Use the Pythagorean Theorem to solve for the answer. 10^2 + x^2 = 30^2
This is a word problem signifying an algebraic expression.
Translating this to mathematics:
add 4 to both sides.
divide 16 to both sides.
this is:
