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Sidana [21]
3 years ago
6

Show all work to multiply (2+√-25)(4-√-100)

Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

<h3>-42</h3>

Step-by-step explanation:

given the expression;

(2+√-25)(4-√-100)

Note that √-25 = √-1 * √25

√-100 = √-1 * √100

According to complex number,  √-1 = i

√-25 = 5i

√-100 = 10i

The expression becomes

(2+5i)(4-10i)

Open the parentehsis;

= 2(4)-20i+20i-50i²

=  8-50i²

Since i² = -1

The expression becomes;

8-50i² = 8-50(-1)²

8-50i² = 8-50 = -42

Hence the product of the expression is -42

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A worker's salary is increased by 12%. If the worker's original salary is represented by s, which two expressions represent the
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Step-by-step explanation:

Given that

A worker's salary is increased by 12%.

Let the worker's original salary is represented by s. It means, the new salary of the person is given by :

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Nostrana [21]

Hello! Your answer is y = -7/3x + 2.

----

First, find the slope of the original line. The slope can be calculated by \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. Substitute in the points, and you get:

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So now we get: slope = 3/7. We do not need the full equation of the first line, as a perpendicular line only requires the slope.

----

Perpendicular lines all have a slope that is a negative reciprocal of another. For example, if one line's slope was 1/4, the line perpendicular to it would have a slope of -4.

The negative reciprocal of 3/7 is -7/3. Therefore, we know the slope of the line that we are looking for is -7/3. We can substitute this into y = mx + b.

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Now, we are given a coordinate point. Substitute that in and solve.

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----

Therefore, the final equation we are looking for is y = -7/3x + 2.

Hope this helps!

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3 years ago
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