What is the minum of two colors needed?

Find a quadratic equation with roots -1, 4i and -1 - 4i

vazorg [7]

$\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
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\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
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(x+1-4i)(x+1+4i)=\stackrel{y}{0}
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[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
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[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
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(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
\\\\\\
x^2+2x+1~~+16=y\implies x^2+2x+17=y$

3 0

3 years ago

The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?

Phantasy [73]

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation: $\frac{5+x^{2} }{2} =4$ $\frac{-6+y^{2} }{2} = 3$

You multiply 4 by 2 which gives you 8 and write the equation $5+x^{2} =8$ then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation $-6+y^{2}=6$ then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates $\frac{5+3}{2}=\frac{8}{2} =4 \\$ $\frac{-6+12}{2} =\frac{6}{2} =3$ and you get the answer for the midpoint which is (4,3)

6 0

2 years ago

How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors

siniylev [52]

Answer:

4 (2 + 9)

Step-by-step explanation:

Given expression:

8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

Factors of 8 : 1,2,4, 8

36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

8 + 36 = 4 (2 + 9)

7 0

2 years ago

Question 1

PilotLPTM [1.2K]

The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term

<h3>How to determine the true statement</h3>

With an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms

This means that,

The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula

Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)

Read more about the Fibonacci sequence at:

brainly.com/question/16934596

8 0

2 years ago

Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas

AlekseyPX

Answer:

Justin travels 211.83 miles on 8.2 gallons of gas.

Step-by-step explanation:

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

8.2 gallons *77.5 miles / 3.1 gallons = x

635.5/ 3.1 = x

211.83 miles = x

8 0

2 years ago

What is the minum of two colors needed?​

What is the minum of two colors needed?