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2 years ago

Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0

Mathematics

1 answer:

mel-nik [20]2 years ago

7 0

Answer:

Additive inverse property is satisfied in the given question

Explanation:

We have been given with two complex numbers x=1+2i and y= -1 -2i

we can clearly see that y is additive inverse of x

Since, additive inverse of the complex number is -(a+ib)

Where a and b are real numbers

Here in given numbers a=1 and b=2i

sum of number and its additive inverse is zero.

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A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the

Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

3 0

2 years ago

How heavy a load (pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? Here are data from student

statuscvo [17]

Answer:

a. (29526.192 , 32155.808)

b. (29673.9301 , 32008.0699)

Step-by-step explanation:

on calculation, we find that sample mean = 30843 and sample standard deviation = 3018.504, and n=20

Sample Mean = 30841

SD = 3000

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 670.8204

alpha (a) = 1 - 0.95 = 0.05

z critical value for 95% confidence interval:

z(a/2) = z(0.025) = 1.96

Margin of Error (ME) = z(a/2) x SE = 1314.808

95% confidence interval is given by:

Sample Mean +/- (Margin of Error) = 30841 +/- 1314.808

= (29526.192 , 32155.808)

2)when std dev of population is not known, we use sample's, but we have to use t instead of z

Sample Mean = 30841

SD = 3018.504

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 674.958

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown

t(a/2, n-1 ) = 1.7291

Margin of Error (ME) = t(a/2,n-1)x SE = 1167.0699

90% confidence interval is given by:

Sample Mean +/- (Margin of Error)

30841 +/- 1167.0699 = (29673.9301 , 32008.0699)

4 0

3 years ago

Use K to write an equation, y=kx, for the relationship.

frozen [14]

Y= 1x because the slope is 1 because rise over run 1

8 0

2 years ago

What is the slope of the line through (-7.-2) and (-6,7)

Xelga [282]

Answer:

gradient = 9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

In a graphing program, graph the following 4 functions in the same coordinate plane.

9966 [12]

See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

The exponential functions are given as:

$y = \sqrt x$

$y = 5\sqrt x$

$y = 14\sqrt{x$

$y = -2\sqrt{x$

An exponential function of the above form is represented as:

$y = a\sqrt{x$

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by $y = 14\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by $y = 5\sqrt x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by $y = -2\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

#SPJ1

5 0

2 years ago