MATHEMATICS HIGH SCHOOL

Simplify the expression fraction with numerator of the square root of negative one and denominator of the quantity three plus eight times i minus the quantity two plus five times i.fraction with numerator x-3 plus i and denominator 10
fraction with numerator negative 3 plus i and denominator 10
fraction with numerator 3 minus i and denominator 10
fraction with numerator negative 3 minus i and denominator 10

Answers

Answer 1

Answer:

The simplified expression is: $\mathbf{(i+13)/(170)}$

The fraction is given as:

$\mathbf{(√(-1))/(3 +8i -2 + 5i)}$

Collect like terms

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (√(-1))/(3 -2+8i + 5i)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (√(-1))/(1+13i)}$

In complex numbers, we have:

$\mathbf{i =√(-1)}$

So, we have:

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i)/(1+13i)}$

Rationalize

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i)/(1+13i) * (1-13i)/(1-13i)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i(1-13i))/(1^2-(13i)^2)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i-13(-1))/(1-169(-1))}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i+13)/(170)}$

Hence, the simplified expression is: $\mathbf{(i+13)/(170)}$

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Answers

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Answers

16 would be the answer

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Solve the equation 3x + 4y = 16 for x.

Answers

Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
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Simplifying
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Answers

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Write the equation of the line that passes through (10,-3) and (-20,9) in slope intercept form

Answers

Answer:

$y=-(2)/(5)x+1$

Step-by-step explanation:

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45 minutes to 1 hour to simplest form

Answers

45 minutes : 1 hour

We need to make the units the same! This is crucial! If you do not have the proper units the whole answer is wrong!

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These are both divisible by 15:

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So, the ratio is 3 : 4

Final Answer: 3:4

Here, we need to write a ratio. A ratio compares two quantities.

45 to 1 hour

45:1

Final answer: 45:1

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