Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
<h3>Zeros of a function</h3>
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
<h3>This case</h3>
The quadratic function is f(x) = x² + 4x +9
Being:
the zeros or roots are calculated as:
and
If the content of the root is negative, the root will have no solution within the set of real numbers. Then has no solution.
Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
Learn more about the zeros of a quadratic function:
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Answer:
M>3.50
Step-by-step explanation:
14×.25=3.5
As she bought more, M>3.50 is appropriate.
Answer:
$11
Step-by-step explanation:
Let Ben has b,
sean has s
alexis has a
samantha has s
Money.
We need to write the words into equations and solve as we can.
b + s + a + s = 47
b + s = 27
b + a = 25
b + s = 23
We need to find a.
Let's put 2nd equation in first, to get:
27 + a + s = 47
a + s = 20 ---------- 5th equation
Now let's solve 4th equation for b and put it into 3rd equation:
b + s = 23
b = 23 - s
Putting in 3rd equation:
23 - s + a = 25
a - s = 2 ---------------6th equation
Now, add up 5th and 6th equation to get a:
a + s = 20
a - s = 2
-------------
2a = 22
a = 22/2 = 11
Alexis got $11