3 years ago

Help ASAP Both please

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

It doesn't matter what number the negative sign is on. What matters is if the negative sign is there at all.

1) A & B

2) C & D

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

vazorg [7]

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

3 0

3 years ago

Write a third degree polynomial function that has real zeros -1, -2 and 4

ra1l [238]

Answer:

f(x) = $x^{3} - x^{2} - 10x -8$

Step-by-step explanation:

All you have to do is multiply (x + 1)(x + 2)(x - 4)

You should get $x^{3} - x^{2} - 10x -8$

So, f(x) = $x^{3} - x^{2} - 10x -8$

8 0

3 years ago

Find the perimeter of the figure to the nearest hundredth.

babunello [35]

Answer:

50.28 inches

Step-by-step explanation:

From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2

Radius= 9in

C= 2πr

C=2*3.142*9

C= 56.556 inches

Hence the length of the arc is

=56.556/2

=28.278 inches

The perimeter of the shape

=28.278+5+12+5

=50.28 inches

8 0

3 years ago

the diagram gives the dimensions of a swimming pool.if a cover is needee for the pool, what will be the approximate area of the

mars1129 [50]

The answer is 360 because if u do this 20×36 and the 1/2 it u get this 360 20×36 is 720 and then 2÷720 u get 360

7 0

3 years ago

Show all of your work. Simplify the expression: 4(3x + 2) + 5x

Kamila [148]

Answer:

17x + 8

Step-by-step explanation:

4(3x + 2) + 5x

12x + 8 + 5x

17x + 8

8 0

3 years ago