What is the sum of the interior angles of an octagon?

K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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\(12x + 3 - 4x + 7 \\ 12x - 4x + 3 + 7 \\ 8x + 10 \\ \\ \\ 8 - 7x - 13 + 2x \\ 8 - 13 - 7x + 2x \\ - 21 - 5x \\ - 5x - 21 \\ \\ \\ - 3x - 18 + 5x - 2 \\ - 3x + 5x - 18 - 2 \\ 2x - 20\)

PLEASE GIVE BRAINLIEST

Answer:

1) 8x+10

2) -5x-6

3) 2x-20

Step-by-step explanation:

We are given:

12x+3-4x+7

rearrange like terms

12x-4x+3+7

simplify

8x+10

We are given:

8-7x-13+2x

rearrange like terms

-7x+2x+8-14

simplify

-5x-6

We are given:

-3x-18+5x-2

rearrange like terms

-3x+5x-18-2

simplify

2x-20

Hope this helps! :)

1. \(\overline{AB} \cong \overline{CB}\), \(D\) is the midpoint of \(\overline{AC}\)

2. \(\overline{AD} \cong \overline{DC}\)

3. \(\overline{BD} \cong \overline{BD}\)

4. \(\triangle ABD \cong \triangle CBD\)

Answer:

Step-by-step explanation:

what percentage is greater than 3/4 and less than 4/5

3/4 = 0.75

4/5 = 0.8

the answers between 0.75 and 0.8 are all good, take 0.78, transform into a fraction and you have 39/50

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

27

Step-by-step explanation:

We substitute all the variables to get:

(5)2 + 2(8) ÷ 2 + 3(3)

We multiply everything to get

10 + 16 ÷ 2 + 9

Divide:

10 + 8 + 9

Add:

18 + 9

27

Answer:

42

Step-by-step explanation:

We plug in the given values into the equation:

The order of operations is:

Parentheses

Exponents

Multiplication & Division (whichever comes first)

Addition & Subtraction (whichever comes first)

\(5^{2} +2(8)\div2+3(3)\)

\(25+16\div2+9\)

Remember that division comes before addition

\(25+8+9\)

\(42\)

To diagonalize matrix A in MATLAB, first calculate the eigenvalues and eigenvectors using the command [PD]=eig(A), where PD is the diagonal matrix containing the eigenvalues and the columns of P represent the corresponding eigenvectors.

To verify the diagonalization, compute P^(-1) * A * P and check if it equals D, the diagonal matrix.

MATLAB Code:

```octave

% Step 1: Define matrix A

A = [42 -5 -3];

% Step 2: Compute eigenvalues and eigenvectors of A

[PD, P] = eig(A);

% Step 3: Verify diagonalization

D = inv(P) * A * P;

% Step 4: Check if P^(-1) * A * P equals D

isDiagonal = isdiag(D);

isEqual = isequal(P^(-1) * A * P, D);

```

The MATLAB code first defines the matrix A. Then, the `eig` function is used to calculate the eigenvalues and eigenvectors of A. The resulting diagonal matrix PD contains the eigenvalues, and the matrix P contains the corresponding eigenvectors as columns.

To verify the diagonalization, the code calculates D by multiplying the inverse of P with A, and then multiplying the result with P. Finally, the code checks if D is a diagonal matrix using the `isdiag` function and compares P^(-1) * A * P with D using the `isequal` function.

The variables `isDiagonal` and `isEqual` store the results of the verification process.

Please note that you need to have MATLAB or Octave installed on your computer to run this code successfully.

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The number in which the value of 3 is 3-1/100 is 345. The correct option is a.

The given number is 43,781.

The value of the 3 in 43,781 is 3,000.

The value of 3-1/100 is 2.99.

We are supposed to find out in which number 2.99 is the value of the 3 in 43,781.

Given options are:

a. 345

b. 237,895

c. 5,732

We'll calculate the values of 3-1/100 in each option.

a. The value of 3-1/100 in 345 is 2.99.

So, the correct option is a.

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480 miles far away does Michael live from the mountains.

Given that,

Last weekend, Michael drove to the mountains.

The journey there took 12 hours due to the dense traffic.

There was no traffic when Michael took the drive home, and it only took eight hours.

On the journey home, if his average speed was 20 miles per hour higher,

We have to find how far away does Michael live from the mountains.

We know that,

Take s as speed to the mountains

Then

(s+20) = his return speed

The distance each way is the same,

We know that

Distance = speed * time

12s = 8(s+20)

12s = 8s + 160

12s - 8s = 160

4s = 160

s = 160/4

s = 40 mph

Then

40 * 12 = 480 miles

Therefore, 480 miles far away does Michael live from the mountains.

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The result for the expression -8(11/2) + 2(21/4) using PEDMAS will result to a value of -33.5.

P – Parenthesis First: B – Brackets First

E – Exponents

D – Division

M – Multiplication

A – Addition

S – Subtraction

We open the parenthesis (bracket) first;

-8 (1 1/2) +2 (2 1/4) = - 8/2 × 11 + 2/4 × 21

-8 (1 1/2) +2 (2 1/4) = - 4 × 11 + 1/2 × 21

-8 (1 1/2) +2 (2 1/4) = - 44 + 10.5

-8 (1 1/2) +2 (2 1/4) = - 33.5

Therefore, using PEDMAS correctly, we derive the result of the expression to be the value -33 5

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Answer:

thousands

Step-by-step explanation:

you can tell what place it is rounded to based on how many zeroes there are. In this example, the ones, tens, and hundreds place, meaning this is rounded to the nearest thousand

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Answer:

The quotient is 5 and the remainder is 4

Step-by-step explanation:

The quotient is what you're dividing by and the remainder is what's left.

The value of quotient is, 5

And, The value of remainder is, 4

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

To find the quotient and remainder of 29 divided by 5.

Now, We can divide the number as;

5 ) 29 ( 5

  - 25

    ------

       4

Thus, After divide we get;

The value of quotient is, 5

And, The value of remainder is, 4

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Answer: $52.50

Step-by-step explanation: Divide 28.00 by 8. It would equal $3.50, and that's how much per gallon. Multiply 3.50 by 15. So, the final answer is $52.50.

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer:

$227

Step-by-step explanation: if the console gets marked downed $25 it will be $200 then the 12% increase which it $27 so that will be $227

Answer:  A.  X=4

Step-by-step explanation:

Since the line is on the X axis you can see its touching x,4 y,0

Answer:

what

Step-by-step explanation:

is ib the pic

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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You want to simplify ? or just find the value ?

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

Option D

Step-by-step explanation:

Using the surd law :

\(\sqrt{ab} = \sqrt{a}\sqrt{b}\)

We can find the largest square number that goes into 75 :

Let's write the multiples of 75 :

1 , 75

3 , 25

5 , 15

The only square number is 25

So using the law mentioned above we split √75 into :

√25√3

The square root of 25 is 5

Now we have our final answer of 5√3

Hope this helped and have a good day

The simplified form of expression √75 is 5√3.

Option D is the correct answer.

We have,

To simplify √75, we can factor it into its prime factors and then take the square root:

√75 = √(3 * 5 * 5)

= √(3 x 5²)

Take out the perfect square factor from under the square root:

= √3 x √5²

= √3 x 5

= 5√3

Thus,

The simplified form of expression √75 is 5√3 which is option D.

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Answer:

$8.30

Step-by-step explanation:

7.99 + 4% = 8.30

Answer:

52 rides

Step-by-step explanation:

125 - 8 - 8 - 8 - 8 = 93

93 - 27 = 66

66 ÷ 1.25 = 52.8

Since 52.8 rides we have to use only the whole numbers, so in this case 52.

Hope this helps!

The specific statistical methods and tests used may vary depending on the nature of the variables and the assumptions of the data.

If a psychologist wants to investigate the relationship between the students' test 2 scores and their blood pressure conduct a statistical analysis to determine the nature and strength of this relationship. Here's a general approach they can follow:

1.Hypothesis formulation: The psychologist needs to formulate a hypothesis about the relationship between the test 2 scores and blood pressure. For example, they might hypothesize that there is a positive correlation between the two variables, meaning that as test 2 scores increase, blood pressure also tends to increase.

2.Data collection: The psychologist samples 200 students and records their blood pressure during the final. They also note down their corresponding test 2 scores. It's important to ensure that the data collection process is standardized and accurate.

3.Data analysis: Once the data is collected, the psychologist can analyze it using statistical methods. They descriptive statistics, such as the mean, standard deviation, and range, for both the test 2 scores and blood pressure.

4.Correlation analysis: To examine the relationship between the variables, the psychologist can calculate the correlation coefficient. The most commonly used measure of correlation is the Pearson correlation coefficient (r), which ranges from -1 to +1. A positive r value indicates a positive correlation, a negative r value indicates a negative correlation, and a value close to zero suggests no or weak correlation.

5.Statistical significance testing: To determine if the observed relationship is statistically significant, the psychologist can perform a hypothesis test. The most common test for correlation is the t-test for correlation coefficients. The psychologist can calculate the p-value associated with the correlation coefficient and compare it to a predetermined significance level (e.g., 0.05). If the p-value is less than the significance level, the psychologist can reject the null hypothesis and conclude that there is a significant relationship between test 2 scores and blood pressure.

6.Effect size estimation: In addition to statistical significance, it's important to assess the practical significance or effect size of the relationship. The psychologist can calculate the coefficient of determination (r²2), which indicates the proportion of variance in one variable (blood pressure) that can be explained by the other variable (test 2 scores).

7.Interpretation: Based on the findings from the analysis, the psychologist can interpret the results and draw conclusions about the relationship between test 2 scores and blood pressure. They should consider the magnitude of the effect size, the statistical , and any limitations or potential confounding factors in their interpretation.

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