$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }~~~i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=5+i\implies &x-5-i=0\\
x=5-i\implies &x-5+i=0
\end{cases}
\\\\\\
(x-5-i)(x-5+i)=\stackrel{\textit{original polynomial}}{0}
\\\\\\\
[(x-5)~~-~~i]~[(x-5)~~+~~i]=0\implies [(x-5)^2~~-~~i^2]=0
\\\\\\
(x^2-10x+25)~~-~~(-1)=0\implies x^2-10x+25+1=y
\\\\\\
x^2-10x+26=y$

8 0

2 years ago

What is the y-value of sin(x) when x = 30°

Sonja [21]

The sine of 30° is 0.5 .

Angles don't have y-values, and neither do their sines. But
IF you draw a graph of the sine function, AND the angles
(the independent variable) are marked off on the x-axis of
the graph, AND the value of the sine function of each angle
(the dependent variable) is marked off on the y-axis of the
graph, THEN the y-value corresponding to the angle of 30°
would be displayed as 0.5 .

6 0

3 years ago

Harris Teeter is selling gala apples for 0.98 per pound Adam purchase 3.5 pounds of the apples how much did she pay for her purc

Schach [20]

Total purchase = (unit cost)(# of pounds purchased)

Here, that total is ($0.98/lb)(3.5 lb) = $3.43 (answer)

8 0

3 years ago

How can you express 5 1/3 + (-7 2/3) as the sum of its integer and fractional parts

Yuliya22 [10]

Answer:

-7/3

Step-by-step explanation:

-7 2/3=-23/3

5 1/3=16/3

-----------------

16/3+(-23/3)

16/3-23/3

-7/3

6 0

2 years ago

Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.​

Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.