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zhuklara [117]
3 years ago
12

Express the square root of -80 in its simplest terms.

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

noting that \sqrt{-1} = i

Given

\sqrt{-80}

= \sqrt{16(-1)(5)}

= \sqrt{16} × \sqrt{-1} × \sqrt{5}

= 4i\sqrt{5} → C

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Does anybody know this one? 40= 15 - 9x- 2
asambeis [7]

Step-by-step explanation:

Simplifying 40 = 15 + -9x + -2

Reorder the terms: 40 = 15 + -2 + -9x

Combine like terms: 15 + -2 = 13 40 = 13 + -9x

Solving 40 = 13 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation. 40 + 9x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0 40 + 9x = 13 + 0 40 + 9x = 13

Add '-40' to each side of the equation. 40 + -40 + 9x = 13 + -40

Combine like terms: 40 + -40 = 0 0 + 9x = 13 + -40 9x = 13 + -40

Combine like terms: 13 + -40 = -27 9x = -27

Divide each side by '9'. x = -3

Simplifying x = -3

4 0
3 years ago
Read 2 more answers
This recipe makes 4 portions of potato soup.
Dominik [7]

Answer:

120 ml oil

150g onions

1.2 kg potatoes

1.5 litres milk

Step-by-step explanation:

The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.

So, multiply all the fiven ingredients by 3 as well.

Oil = 40ml x 3 = 120ml

Onions = 50g x 3 = 150g

Potatoes = 400g x 3 = 1200g = 1.2 kg

Milk = 500ml x 3 = 1500ml = 1.5 litres

Hope this helps

4 0
3 years ago
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Given the point and slope, write the equation of the line
Ratling [72]

7)


\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-4}{6-1}\implies \cfrac{-5}{5}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-1(x-1) \\\\\\ y-4=-x+1\implies y=-x+5


9)


\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-14}{6-(-12)}\implies \cfrac{-15}{6+12}\implies \cfrac{-15}{18}\implies -\cfrac{5}{6}


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-14=-\cfrac{5}{6}[x-(-12)] \\\\\\ y-14=-\cfrac{5}{6}(x+12)\implies y-14=-\cfrac{5}{6}x-10\implies y=-\cfrac{5}{6}x+4

7 0
3 years ago
What is the value of f(-2) if f(x) = - 3x2 + 4x - 1
pashok25 [27]

Given the function below:

\large{f(x) =  - 3 {x}^{2}  + 4x - 1}

To find f(-2), we substitute x = -2 in the equation. Since f(-2) means the value of f(x) at x = -2.

\large{f( - 2) =  - 3 {( - 2)}^{2}  + 4( - 2) - 1}

Replace x-term to -2 and evaluate.

\large{f( - 2) =  - 3(4) - 8 - 1} \\  \large{f( - 2) =  - 12 -  8 - 1 \longrightarrow f( - 2) =  - 21}

Answer

  • f(-2) = -21

Let me know if you have any doubts!

4 0
3 years ago
What it is the equivalent of 7:2<br>​
Law Incorporation [45]

Answer:

7:2

7/2

Step-by-step explanation:

7:2 is also equivalent to 7/2

4 0
3 years ago
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