Answer:
C. f (x) = x^3-3x^2-4x-2
Step-by-step explanation:
we know that
The conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
In this problem we have that
The polynomial has roots 1 and (1+i)
so
by the conjugate root theorem
(1-i) is also a root of the polynomial
therefore
The lowest degree of the polynomial is 3
so
Remember that
The leading coefficient is 1
so
a=1
Answer:
Perimeter ratio = 2:1
Area ratio = 4:1
Step-by-step explanation:
<u>Perimeter</u>
Perimeter of the smaller photo =
inches
Perimeter of larger photo =
inches
Ratio:
Perimeter of larger photo : perimeter of smaller photo =
<u>Area</u>
Area of smaller photo =
inches²
Area of larger photo =
inches ²
Ratio
Area of larger photo : area of smaller photo =
∴The ratio of the perimeters = 2:1, and the ratio of the areas = 4:1
Hope this helps :)
Answer: It is about 23 feet.
Step-by-step explanation:
1. Let's call <em>x</em> the height of the mast.
2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.
3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:
≈
Answer:
1. 2m^2-2n^2
Step-by-step explanation:
1. (m-n)(m^2+mn+n^2)
m^2=m
n^2=n
=(m-n)(m+mn+n)=(m-n)(2m2n)
Multiple
=2m^2-2n^2