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3 years ago

What is the value of the product (3 - 2i)(3+2i)?

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - $4i^{2}$

2. Simplify

9 - $4i^{2}$

3. Solve for i. $i^{2}$ = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

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which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?

luda_lava [24]

Answer:

$y=-2x+12$

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2$

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

$y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12$

7 0

4 years ago

A line segment is sometimes/always/never similar to another line segment, because we can sometimes/never/always map one into the

Fantom [35]

Answer:

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

Step-by-step explanation:

we know that

A dilation is a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.

The dilation produce similar figures

In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.

A rigid transformation, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.

If we have two line segments XY and WZ, then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.

The first segment XY would map to the second segment WZ

therefore

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

6 0

3 years ago

Which of these four sets of side lengths will form a right trangle?

Mrac [35]

answer:

set 4

Step-by-step explanation:

because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle

4 0

2 years ago

What is 5/9 times 32?

DIA [1.3K]

5/9* 32
= (5*32)/9
= 160/9
= (153+ 7)/9
= 153/9+ 7/9
= 17+ 7/9
= 17 7/9

The final answer is 17 7/9~

7 0

3 years ago

What is the perimeter of 2 1/2 and 5 1/3

Usimov [2.4K]

I am so sorry this is the wrong answer

8 0

4 years ago