Answer:
Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is 
We expand to get:
We expand further to get:\
Answer:
x=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x=5x+22
Step 1: Subtract 5x from both sides.
−6x−5x=5x+22−5x
−11x=22
Step 2: Divide both sides by -11.
−11x
−11
=
22
−11
x=−2
Answer:
S = 38.4 centimeters.
Step-by-step explanation:
<u>Given the following data;</u>
- Radius, r = 12 cm
- Angle = 3.2 rads
To find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
- S is the length of the arc.
- A is the angle measured in radians.
Substituting into the formula, we have;
S = 12 * 3.2
<em>S = 38.4 centimeters.</em>
The answer is: [D]: " 24 + 2w " .
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Explanation:
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Given: The formula for the Perimeter of a rectangle:
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P = 2L + 2w ;
in which:
P = perimeter ;
L = length = 12 units (given);
w = width = unknown;
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Find the perimeter, "P", in terms of "w" ; since "w" (width) is unknown; and considering the answer choices given; along with the information provided in the problem, we only have enough information to solve for the perimeter, "P", in terms of "w" ;
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So, given the formula/equation for the perimeter, "P" :
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P = 2L + 2w ; we know that: " L = 12 units " ;
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P = 2*12 + 2w = 24 + 2w ; which is: "Answer choice: [D]" .
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