In quadrilateral pqrs, the coordinates are p(0, 0), q(a + c, 0), r(2a + c, b), and s(a, b). How can you use coordinate geometry to show that the diagonals are perpendicular?.

Answer:

The answers are in the picture I attached to this response.

Step-by-step explanation:

(1) The equation of a line, in slope-intercept form, is: [tex]y = mx + b[/tex], where m is the slope, and b is the y-intercept.

⭐ What is the slope (m) mean?

⭐ What is the y-intercept (b) mean?

To find the slope, we need to use the formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](y_1, y_2)[/tex] are coordinates you are given.

In this problem, you are given the coordinates (2,6) and (4,9). Let's substitute these coordinates into the slope formula.

[tex]m = \frac{9-6}{4-2}[/tex]

[tex]m = \frac{3}{2}[/tex]

Now, substitute the value of m into the equation of a line.

[tex]y = \frac{3}{2}x + b[/tex]

All we have to do now is substitute the value of b. We are already given that the line intersects the y-axis at (0,3), which means that (0,3) is the y-intercept.

[tex]y = \frac{3}{2}x + 3[/tex]

⭐ How do we graph this equation?

(3) Start by taking the square root of 44 on a calculator.

You should get an irrational number (a number that's digits never terminate or repeat).

Whenever you have questions like these, you are expected to round the number to the nearest tenth.

[tex]\sqrt{44} = 6.6332495807107996982298654733414\\\\\sqrt{44} = 6.6[/tex]

Choose a place on the number line to start your positive integers (1,2,3 . . .) and plot the point 6.6.

6.6 should be a bit after 6.5, which is in between 6 and 7.

(A) The expression for each plane are as follows;

B). The equation to show when the two planes would be at the same altitude is; 700 + 16x = 424 + 22x.

It follows from the task content that the initial altitudes of plane A and B are 700 and 424 respectively.

Hence, since plane A gains altitude at 16 meters per second; The expression for the altitude after x seconds is;

Also, since plane B gains altitude at 22 meters per second; The expression for the altitude after x seconds is;

Therefore, when the two planes are at the same altitude; the equation which is true is;

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Answer:

-5

Step-by-step explanation:

-2-3 is -5 :>

Answer:

y=-5

Step-by-step explanation:

Answer:

177x

Step-by-step explanation:

A Scatter (XY) Plot has points that show the relationship between two sets of data.

Scatter Plots

A Scatter (XY) Plot has points that show the relationship between two sets of data.

In this example, each dot shows one person's weight versus their height.

Example:

The local ice cream shop keeps track of how much ice cream they sell versus the noon temperature on that day. Here are their figures for the last 12 days:

Ice Cream Sales vs Temperature

Temperature °C Ice Cream Sales

14.2°                    $215

16.4°                    $325

11.9°                            $185

15.2°                    $332

18.5°                    $406

22.1°                    $522

19.4°                    $412

25.1°                    $614

23.4°                    $544

18.1°                            $421

22.6°                          $445

17.2°                    $408

And here is the same data as a Scatter Plot:

It is now easy to see that warmer weather leads to more sales, but the relationship is not perfect.

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The equivalent expression to 2x² + 4 + 3x² + 2x + 7 is 8x² + 2x + 11.

An equivalent equation is an equation that has the same solution set as another equation. It is a mathematical expression that is equal in value to another expression. The two equations can often be solved using the same methods and yield the same result. Equivalent equations are useful in solving complex mathematical problems by breaking them down into simpler equations.

This is obtained by combining the like terms such as 2x² and 3x², which results in 5x², and 4 and 7 resulting in 11. The expression can be written as 5x² + 2x + 11. The final result can be obtained by multiplying 5x² with 2, which results in 8x². Hence, the equivalent expression is 8x² + 2x + 11.

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Answer:

Step-by-step explanation:

To find the maximum area of one plot, we need to find the greatest common factor of 840 and 396. One way to do this is to use the prime factorization method.

First, we prime factorize 840 and 396:

840 = 2 * 2 * 2 * 3 * 5 * 7

396 = 2 * 2 * 3 * 3 * 11

Then, we find the common factors:

2 * 2 * 3 = 12

So, the greatest common factor of 840 and 396 is 12.

The maximum area of one plot is therefore (840 * 396) / 12 = 140 * 33 = 4620 square meters.

A matrix's inverse can be calculated in a number of stages.

To find the inverse of a matrix, you can use the following steps:

Here is an example:

Find the inverse of the matrix A:

[1 2]

[3 4]

Find the determinant of the matrix: det(A) = 14 - 23 = -2

Find the adjoint of the matrix: adj(A) = [4 -2]

[ -3 1]

Divide the adjoint of the matrix by the determinant: A^-1 = adj(A)/det(A) = [-2 1] / -2 = [1 -1/2]

[ 3/2 -1/2]

Matrix A's inverse is A-1= [1 -1/2].

[3/2 -1/2]

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Answer:

A.

Step-by-step explanation:

Just put the equation 3x+4y≥20 into y=mx+b form. Subtract 3x from both sides so you get 4y ≥ -3x+20

then divide everything by 4 to isolate the y.

You would get y ≥ -3/4+ 5. Then just use the slope and y-intercept to graph.

If ≥ symbol is used, shade above the line.

A triangular prism and a triangular pyramid with identical bases and heights are related by the fact that the prism's volume is three times that of the pyramid.

When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism. In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. This fact enables us to see a correlation between the volumes of a prism and a pyramid when their bases and heights are equal. That is, a prism with an identical height and base has a volume that is 1/3 that of a pyramid.

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Required Conditions for similarity of traingles are:-

What are similar traingle?

Triangles with have the same shape but can distinct sizes are said to be similar triangles. In other words, if two triangles are similar,then they need to follow either of the 2 mentioned condition if  their corresponding sides are proportionately equal and their corresponding angles are congruent.

Conditions for similarity of traingles are:-

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The triangle has the following characteristics: A triangle (of any kind) has a total angle of 180 degrees. In a triangle, the lengths of the first two sides are bigger than the length of the third side. The difference between the two sides of a triangle are also smaller than the third side's length.

The 3-sided polygon known as a triangle is also known as the trigon, however this term is not particularly common. There are three sides to every triangle as well as three angles, some of which may be the same.

It is one of the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C.

The triangle has the following characteristics: A triangle (of any kind) has a total angle of 180 degrees. In a triangle, the lengths of the first two sides are bigger than the length of the third side. The difference between the two sides of a triangle are also smaller than the third side's length.

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The matrix will not have an inverse if the determinant is 0; in this case, it is referred to as singular.

An inverse function is a function that gives back the initial value for which an output was provided by another function. The inverse function of y, or [tex]f^{-1}(y)[/tex], will return the value x if f(x) is a function that produces the value y.

Put negatives in front of b and c, swap the locations of a and d, then divide the result by the determinant to determine the inverse of a 2×2 matrix (ad-bc).

Not every matrix of size 2 by 2 has an inverse matrix. The matrix will not have an inverse if the determinant is 0; in this case, it is referred to as singular. Inverses exist only for non-singular matrices.

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Put negatives in front of b and c, swap the locations of a and d, then divide the result by the determinant to determine the inverse of a 2x2 matrix (ad-bc).

Hence, Put negatives in front of b and c, swap the locations of a and d, then divide the result by the determinant to determine the inverse of a 2x2 matrix (ad-bc).

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Answer:

131560.072

Step-by-step explanation:

Because it is increase so we add humdred to the percent and then divide by hundred - 18+100/100 = 1.18

eight years - 1.18 raised to the pwer of 8

worth - 35000

hence it will be - 1.18 raised to the power of 8 x 35000

thank you

Partial disability, according to SSS, is the whole and irreversible loss of a physical portion. An individual can still do their work to some extent despite the condition. Any loss of these body parts or senses qualifies as a partial disability for SSS benefits: only one. One-hand.

In the Philippines, the Social Security System is a government-run social insurance program for employees in the private, public, and unorganized sectors. Republic Act No. 1161, also known as the Social Security Act of 1954, is what created SSS. Later, in 1997, Republic Act No. 8282 changed this statute.

The person must have made at least 36 monthly payments before the semester of incapacity in order to be eligible for a monthly disability pension. If there are less than 36 monthly contributions, the recipient receives a lump sum payment.

"Permanent partial disablement" refers to a permanent disability that limits an employee's ability to earn money. According to the Second Schedule, partly permanent disability results;] "Permanent Total Disablement" ((15B)) refers to such a disablement. National Government Act. 0 Citations, 394 Citations.

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The given equation can be expressed as xy²+7xy+5y-3=0.

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. In English, a well-formed formula with two expressions joined by an equals sign is referred to as an equation; however, cognates of this word in other languages may have slightly different meanings. For instance, the French definition of an equation is one or more variables.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns, together with the variables for which the equation must be solved. Equations can be classified as either conditional equations or identities.

Given,

(3/y)-5=x(y+7)

(3-5y)/y=(xy+7x)

3-5y=xy²+7xy

xy²+7xy+5y-3=0

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The line passing through point (-5, -6) is y = -2x - 16.

Define Equation of line.

         y - y₁ = m (x - x₁)  

Given point is (-5, -6) and slope is -2.

We know the formula is,

 y - y₁ = m (x - x₁)  

Let, (x₁, y₁) = (-5, -6)

and, m = -2 (slope)

Now, plug in the value

y - (-6) = -2(x - (-5) )

y + 6 = -2(x + 5)

y + 6 = -2x - 10

y = -2x - 10- 6

y = -2x - 16

Hence, the line passing through point (-5, -6) is y = -2x - 16.

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In Microsoft Excel 2007, a maximum of 1,048,576 rows may be used. 15.784 columns. A spreadsheet in Excel is composed of columns and rows.

Row refers to a group of objects placed next to or across from one another. A column is defined as a vertical arrangement of objects based on category. The arrangement is done from left to right. The setup is created from top to bottom. The sum is shown on the far right.

here

The rows are horizontally arranged and designated by the numbers 1, 2, 3, and 4.

The letters that go horizontally down the columns are identified by the letters A, B, C, D, etc.

When a column and a row cross, cells are what result.

In Microsoft Excel 2007, 1,048,576 rows is the maximum number permitted. 15,384 rows.

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Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

A translation occurs whenever an object is transported from one place to another without altering its dimension, form, or orientation. We can draw the translation in the coordinate plane if we know which way and how far to move the figure.

The triangle can be translated in the following ways:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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By using Akaike Information Criterion(AIC) to compare various models , We need to consider 16 models to find the one with lowest AIC.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

A mathematical tool for assessing how well a model matches the data it was derived from is the Akaike information criterion (AIC).

It's formula is:

AIC=2k-2ln(L)

predictors=independent variables=3

k=independent variables+1=4

Categorical variable= 4 levels

Total number of models to be considered = 4 * 4 =16

Since, Every layer (characteristics of variable) must interact with the predictors variable to calculate AIC and find the lowest one.

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Finding the missing number from the N numbers in the given array arr[] of size N-1 with integers in the range [1, N] is the task. The list must not contain any duplicates.

Java method for locating a missing integer in an array of integers from 1 to N:

Make a temp array temp[] of size n + 1 with a value of 0 for each element.

For each element in the input array arr[i], perform the following.

If (temp[arr[i]] == 0), then temp[arr[i]] is 1.

traverse temp[] and output an element of an array with the value of 0. (This is the missing element).

class GFG; import java.io.*; import java.util.*

public static void findMissing(int arr[], int N)

{

int i;

int temp[] = new int[N + 1];

for (i = 0; i <= N; i++) {

 temp[i] = 0;

}for (i = 0; i < N; i++) {

 temp[arr[i] - 1] = 1;

} int ans = 0;

for (i = 0; i <= N; i++) {

 if (temp[i] == 0)

  ans = i + 1;

} System.out.println(ans);

}

public static void main(String[] args) {

int arr[] = { 1, 3, 7, 5, 6, 2 };

int n = arr.length; // Function call

findMissing(arr, n);

}

}

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The area of the composite figures are as follows;

10. Area of the trapezoids are; 96 cm², 80 cm², 96 cm², 80 cm²

Area of the rectangle at the center =  320 cm²

11. Area of the field on the left is 18,600 m²

Area of the field on the right is 11,000 m²

A composite figure is a figure that consists of two or more regular shapes.

10. The width of each trapezoid are;

(28 - 20)/2 = 4

(24 - 16)/2 = 4

The area of each trapezoid are;

The area of each of the left and right trapezoid = 4 × (20 cm + 28 cm)/2 = 96 cm²

Area of the top and bottom trapezoid = 4 × (16 cm + 24 cm)/2 = 80 cm²

Area of the rectangle at the center = 16 cm × 20 cm = 320 cm²

11. Area of ΔDEI = 0.5 × 80 m × 60 m = 2400 m²

Area of trapezoid EIGF = 0.5 × (60 m + 50 m) × (60 m + 20 m) = 4400 m²

Area of the triangle ΔAGF = 0.5 × 50 m × 80 m = 2000 m²

Area of ΔAHC = 0.5 × 40 m × (20 m + 80 m) = 2000 m²

Area of ΔABC = 0.5 × 30 m × (20 m + 80 m) = 1500 m²

Area of quadrilateral AHCB =  2000 m² + 1500 m² = 3500 m²

Area of triangle ΔCDH = 0.5 × 40 m × (80 m + 60 m) = 2800 m²

Adding together, we get;

2400 + 4400 + 2000 + 2000 + 1500 + 3500 + 2800 = 18,600

The area of composite figure is 18,600 m²\

Area of ΔEFH = 0.5 × 20 m × 40 m = 400 m²

Area of trapezoid GFHJ = 0.5 × (20 m + 40 m) (40 m  + 40 m) = 2400 m²

Area of triangle ΔAGJ = 0.5 × 40 m ×(20 m + 60 m) = 1600 m²

Area of triangle ΔABK = 0.5 × 30 m × 60 m = 900 m²

Area of trapezoid BCF_K = 0.5 × (40 m + 30 m) × (40 m + 20 m) = 2100 m²

Area of triangle ΔCIE = 0.5 × 40 m × (40 m + 40 m) =  1600 m²

Area of triangle ΔCDE = 0.5 × 50 m × (40 m × 40 m) = 2000 m²

Adding the areas together, we get;

400 + 2400 + 1600 + 900 + 2100 + 1600 + 2000 = 11000

The area of the field is 11,000 m²

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Answer:

Step-by-step explanation:

solved & got 8.6

The expression to find the total number of slices of pizza is 2 + 3

From the question, we have the following parameters that can be used in our computation:

Initial slices of pizza = 2

Additional slices of pizza = 3

This means that

The expression to find the total number of slices of pizza is

Total number of slices of pizza = Initial slices of pizza + Additional slices of pizza

Substitute the known values in the above equation, so, we have the following representation

Total number of slices of pizza = 2 + 3

Hence, the expression is 2 + 3

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Answer: 46 chairs

Step-by-step explanation:

First, we have to find the amount of money Darnell spent to rent the chairs by taking

500 - 362 = $138

Then take $138 divided by $3 = 46 chairs

So he rent 1 table and 46 chairs

Answer:

let x - chairs

Darnell rents some tables for $362 and some chairs for $3 each for a party. He spends a total of $500.

500 = 362 + 3x

500 - 362 = 3x

138 = 3x

x = 46

500 = 362 + 3(46)

500 = 362 + 138

500 = 500

Therefore, Darnell rents 46 chairs.

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Step-by-step explanation:

A regression table mainly shows us that what the coefficients values are, and whether each coefficient is significant (likely to be different from from 0) .

A regression table is a statistical technique that describes how strongly a dependent variable and one or more independent variables are correlated (s). A field or variable you are attempting to predict or comprehend could be a dependent variable.

Regression allows researchers to predict or explain the variation in one variable based on another variable. The variable that researchers are trying to explain or predict is called the response variable. It is also sometimes called the dependent variable because it depends on another variable.

What is interpretation of regression statistics table?

In statistics, regression is a technique that can be used to analyze the relationship between predictor variables and a response variable. When you use software (like R, SAS, SPSS, etc.) to perform a regression analysis, you will receive a regression table as output that summarize the results of the regression.

A regression table primarily reveals the values of the coefficients as well as the significance of each coefficient (how likely it is that it will depart from 0).

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Answer:

m = 3/13

Step-by-step explanation:

The Slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 3 and the x increase by 13, so the slope is

m = 3/13

Answer:

Step-by-step explanation:

To find the slope of the line that passes through the points (-4,5) and (9,8), we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

= (8 - 5) / (9 - (-4))

= 3 / 13

= 0.231

Therefore, the slope of the line that passes through the points (-4,5) and (9,8) is 0.231.