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3 years ago

Use square roots to solve theequation x2 = -121 over thecomplex numbers.

Mathematics

1 answer:

balandron [24]3 years ago

5 0

Answer:

x = ±11i

Step-by-step explanation:

x^2 = -121

Take the square root of each side

sqrt(x^2) = sqrt(-121)

sqrt(x^2) = sqrt (-1) *sqrt(121)

We know that the sqrt(-1) is i

x = i ( ±11)

x = ±11i

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Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin.

Novosadov [1.4K]

Answer:

Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal, Liam has 3.33 of Pizza.

Step-by-step explanation:

Given

Quantity of pizza with Martin = 5/6 of a pizza

Pizza with Liam = 4*Quantity of pizza with Martin

Pizza with Liam = 4*5/6 of a pizza

Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.

Thus, Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal Liam has 3.33 of Pizza.

7 0

3 years ago

A local grocery story has strawberries on sale for $1.45 per pound. How much would it cost to buy 5.5 pounds of strawberries? Ro

myrzilka [38]

Answer: The cost of 5.5 pounds strawberries =$ 7.98

Step-by-step explanation:

Given: A local grocery story has strawberries on sale for $1.45 per pound.

i.e. Cost for 1 pound strawberries = $1.45

Now, Cost of 5.5 pounds strawberries = 5.5 x (Cost for 1 pound strawberries)

= $ (5.5 x 1.45)

= $ 7.975 ≈ $ 7.98 [ Round to the nearest penny]

Hence, the cost of 5.5 pounds strawberries =$ 7.98

5 0

3 years ago

a golf ball is hit from the ground with an initial velocity of 208 feet per second. assume the starting height of the ball is 0

seropon [69]

It will take 13 seconds for the golf ball to hit the ground. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

7 0

3 years ago

Read 2 more answers

For the function given state the period f(t) =6sin(3t-pi/6)-1

lapo4ka [179]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now, with that template in mind, let's take a peek at yours

$\bf \begin{array}{lllcclll}
f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}$

8 0

3 years ago

Calculate the cost of 3,600 pounds of metal at 38 cents per pound, less discounts of 12%, 9%, and 3%.

scoundrel [369]

3.600 *38=136800/12=11400/9=1266.66666667/3=422.222222223 will be the answers

8 0

3 years ago

Use square roots to solve theequation x2 = -121 over thecomplex numbers.​

Use square roots to solve theequation x2 = -121 over thecomplex numbers.