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lana [24]
3 years ago
7

Simplify the expression. Write your answer as a complex number.

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

15-8i

Step-by-step explanation:

we know that

The algebraic expression is equal to

5\sqrt{9}-\sqrt{-64}}

Remember that

\sqrt{9}=3

and

i=\sqrt{-1}

so

\sqrt{-64}=i\sqrt{64}=8i

substitute

5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i

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Option C: y = \frac{1}{2}x+\frac{5}{2} is the right answer

Step-by-step explanation:

Given points are:

(x1,y1) = (-1,2)

(x2,y2) = (3,4)

First of all, the slope has to be found

m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}

The slope-intercept form of line is:

y = mx+b

Putting the value of m

y = \frac{1}{2}x+b

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Putting the value of b

y = \frac{1}{2}x+\frac{5}{2}

Hence,

Option C: y = \frac{1}{2}x+\frac{5}{2} is the right answer

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

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