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Alborosie
3 years ago
8

Find the value of a.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

b and c

Step-by-step explanation:

plato

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Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use
QveST [7]
\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\

\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0


\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}
7 0
3 years ago
Carmen is purchasing hamburgers and chips for a party. A bag of chips costs $2 each and hamburgers cost $4 per pound. She must s
lawyer [7]
What following do you mean?

6 0
3 years ago
PLEASE HELP WILL GIVE THANKS AND FIVE STARS IF RIGHT ANSWER
Vika [28.1K]

(x+4)^2 / 9 - (y+3)^2 / 16 = 1


a^2 = 16 and b^2 = 9

a = +4 and -4

b = +3 and -3


Center is (-4, -3)

Vertices is (-4 + a, -3) and (-4 - a, -3)

Vertices is (-1, -3) and (-7, -3)

8 0
3 years ago
Riley is also making boxes to hold baseballs. She wants the dimensions of her boxes
Sergio039 [100]

The volume of the box is 105 cubic units.

<h3>What is volume of cuboid ?</h3>

The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.

Given that : The dimensions of her boxes to be 4 x 6 x 3 units.

The volume of cuboid=7×5×3=105 cubic units.

so ,The volume of the box is 105 cubic units.

To learn more about the volume of the cuboid visit:

brainly.com/question/23118276.

#SPJ9

4 0
1 year ago
Hey yall I need help with this
sergejj [24]

Answer:

1/2 is the answer

3 0
3 years ago
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