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2 years ago

Combine the like terms to create an equivalent expression:4z-(-3z)

Mathematics

1 answer:

Verdich [7]2 years ago

7 0

the answer is 12z²

Step-by-step explanation:

u just multiply the 4z-(-3z).

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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

What is the answer to 3/4x1/7

Ronch [10]

Answer:0.1072

Step-by-step explanation:

Siri

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2 years ago

Mrs Smith is planning a class party for 18 students she will be serving apple juice if she serves 250 ml per student how many li

pantera1 [17]

<h2>Answer:</h2>

<em>4,500 ml hope this helps</em>

<h2><em>Step-by-step explanation:</em></h2>

<em>you would take 250 times 18 equals 4,500 ml</em>

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3 years ago

Find the area of the isosceles trapezoid. A) 24 cm2 B) 30 cm2 C) 36 cm2 D) 48 cm2

astraxan [27]

Answer:

Step-by-step explanation:

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3 years ago

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zalisa [80]

The data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively.

It should be noted that data simply means the facts and statistics that are given which are used for analysis.

In this case, the data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively. This can be seen from the information in the table.

Learn more about data on:

brainly.com/question/19243813

#SPJ1

5 0

2 years ago

Combine the like terms to create an equivalent expression:4z-(-3z)​

Combine the like terms to create an equivalent expression:4z-(-3z)