Answer:
x=0
Step-by-step explanation:
-3x+6(5x-2)=-12
-3x+30x-12=-12
-3x+30x=0
27x=0
x=0
The polynomial is: 
Step-by-step explanation:
We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4
Since zeros are at 3,-5 and 4
So, x=3, x=-5 and x=4
or:
x-3=0, x+5=0 and x-4=0
Multiplying all factors to find the polynomial:
So, the polynomial is:
keywords: Factors and zeros of polynomial
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Answer:
You will obtain a complex number rotated by an angle of 45 degrees (counterclockwise) with a modulus scaled by √2
Step-by-step explanation:
In order to see the effect of multiplying z by 1 + i, you can use the representation of complex numbers in the <em>Polar Form</em>. This representation gives you the angle formed by the complex number and the real axis and the distance from the origin to the point.
Let z=a+ib represent a complex number.<em> The Polar</em> Form is:
z = |z| (Cosα + iSinα)
Where |z| is the modulus of the complex number and α is the angle formed with the real axis.
|z| = √a²+b²
α= arctan (b/a)
The multiplication in<em> Polar Form</em> is:
Let Z0 and Z1 represent two complex numbers
Z0= |Z0| (Cosα + iSinα)
z1= |z1|(Cosβ + iSinβ)
The multiplication is:
Z0.Z1 = |Z0||Z1| [Cos(α+β) + i Sin(α+β)]
Notice that when you multiply complex numbers, you are adding angles and multiplying modulus. The addition of angles can be seen as a rotation of the complex number on the plane and the multiplication of modulus can be seen as changing the modulus of the complex number.
The given number 1+i in the Polar Form is:
z = |z| (Cosα + i Sinα)
|z| = √1²+1² = √2
α = arctan(1/1) = 45°
Therefore, you will obtain a complex number rotated by an angle of 45 degrees with a modulus scaled by √2
Answer: ∠ACB ≅ ∠E'C'D'; translate point D' to point B
Step-by-step explanation:
That is just my best guess.
Answer:
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
Step-by-step explanation:
