9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
Answer:

Step-by-step explanation:
From the graph, the x-intercepts are;



These are root of the polynomial function represented by the given graph.
By the remainder theorem;

According to the factor theorem, if
is a factor of
, then 
This implies that;
are factors of the required function.
Hence; 
We expand using difference of two squares to obtain;

We expand using the distributive property to get;

Rewrite in standard form to obtain;

Answer:
Rx)=1/3x^2
Step-by-step explanation:
A horizontal stretch is simply making the parabola of the parent function wider, it's kind of like changing the slope of a line to make it less steep.
In the graph, the red line is the parent function and the blue line is the horizontally stretched function. See how the blue line appears to be stretched (horizontally).
Perímetro del rectángulo = 74 pulgadas
Deje que el ancho del rectángulo sea 'x'.
Entonces, la longitud de este rectángulo = x + 5
We know that :

Lo que significa :







Por lo tanto, el ancho de este rectángulo = 16 pulgadas
Entonces, la longitud de este rectángulo :



La longitud de este rectángulo = 21 pulgadas
<h2>Por lo tanto :</h2>
● Longitud del rectángulo = <em>21 pulgadas</em>
● Ancho del rectángulo = <em>16 pulgadas</em>
512.50/125%=410
100% is the dealers cost
25% is the markup
$410 is the dealer's price before markup
410×25%=102.5. 410+102.5=512.5