O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?

-3/2
-2/3
3/2
2/3

Answer:

vertex of point A′ is A′(4.5, 3)

Step-by-step explanation:

To determine the vertex of point A′ after dilation, we need to know the coordinates of point A and the scale factor of the dilation.

In this problem, point A has the coordinates (3, 2) and the scale factor of the dilation is 1.5.

To find the coordinates of the dilated point, we multiply each of the original coordinates by the scale factor:

A'(x,y) = (1.5* x, 1.5*y)

So the coordinates of the point A' are:

A'(1.53, 1.52) = (4.5, 3)

Therefore, vertex of point A′ is A′(4.5, 3)

The vertex of point A after the dilation is A′(4.5, 3)

Dilation is a transformation that changes the size of a figure or an object without changing its shape.

The figure or object and its image after dilation are similar.

The size of the figure or object may increase or decrease based on a number called the scale factor.

Dilation is defined by a point called the center of dilation and the scale factor.

Given that, a triangle ABC, has been dilated by a scale factor of 1.5.

We need to determine the vertex of A',

The rule of dilation by a scale factor of k,

(x, y) → (kx, ky)

Therefore,

A'(x,y) = (1.5·x, 1.5·y)

So the coordinates of the point A' are:

A'(1.5·3, 1.5·2) = (4.5, 3)

Therefore, vertex of point A′ is A′(4.5, 3)

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Answer: (4, 0) and (0, -18)

Step-by-step explanation:

Concurrent lines are lines intersecting a common point. Medians are lines connecting the vertex to the midpoint. Altitudes are lines perpendicular to the base of the triangle and pass through the vertex opposite the base.

Concurrent lines in a triangle refer to lines that pass through a common point, such as the centroid, which is the point where the medians of a triangle intersect. Medians are lines that connect a vertex of a triangle to the midpoint of the opposite side. Altitudes are lines that are perpendicular to the base of a triangle and pass through the vertex opposite the base. They also intersect at another point called the orthocenter. The concurrent lines, medians, and altitudes of a triangle are important concepts in geometry that are used in various proofs and problem-solving tasks.

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Your question seems to be incomplete, but I assume the question was:

"What are concurrent lines, medians, and altitudes in a triangle?"

Answer:

altitude ≈ 23 cm

Step-by-step explanation:

since the triangle is isosceles then the altitude AD is the perpendicular bisector of BC , so

BD = [tex]\frac{1}{2}[/tex] BC = 7 cm

using Pythagoras' identity in right triangle ABD

AD² + BD² = AB²

AD² + 7² = 24²

AD² + 49 = 576 ( subtract 49 from both sides )

AD² = 527 ( take square root of both sides )

AD = [tex]\sqrt{527}[/tex] ≈ 23 cm ( to the nearest whole number )

then the altitude is approximately 23 cm

When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.

Using visual charts or representations, mathematicians utilize graphs to logically communicate facts or values. A graph point often illustrates the relationship between two or more objects. In a graph, a non-linear data structure, nodes, or vertices, and edges come together. The nodes, also known as vertices, should be adhered together. The edges of this graph, E=1, 2, 1, 3, 2, 4, and (2.5), have the following values: V=1, 2, 3, 5, (3.5). (4.5). Visual depictions of exponential development in statistics include bar charts, pie charts, line charts, and more. a triangle-shaped logarithmic graph

given

y = x( 0.4 - 0.008x)

x=0

0.4 - 0.008x =0

0.4 - 0.008x

50 = x

y = 5

When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.

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Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Pentagons is that are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here, we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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On solving the provided question, we can say that In triangle DBC and BDA, So, By SSS, △DBC ≅ △BDA

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

In triangle DBC and BDA

BD = BD ( common base)

AB = CD

AD = BC

So, By SSS,

△DBC ≅ △BDA

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Answer:

I like to take out my work (review guide, homework, etc.) and cover my answers with a piece of paper so that only the question is showing and answer the problem. Repeat for as many problems as you'd like. I hope this helps!

Step-by-step explanation:

If Rhonda drives x miles in a month, she will be paid a total of $2,352 + ($0.55 * x).

We can use the information given to set up a system of equations to find the function that relates the number of miles driven (x) to the total amount paid (y).

Let's call the fixed salary that Rhonda receives each month "s" and the extra money she receives per mile driven "m".

Based on the information given, we know that in July, Rhonda drove 640 miles and was paid a total of $3,502. So, we can set up the following equation:

y = s + (m * 640) = $3,502

And in August, Rhonda drove 820 miles and was paid a total of $3,601. So, we can set up the following equation:

y = s + (m * 820) = $3,601

We can use these equations to solve for "s" and "m".

Subtracting the first equation from the second equation:

$3,601 - $3,502 = s + (m * 820) - s - (m * 640)

$99 = (m * 820) - (m * 640)

$99 = m * 180

m = $0.55

Now we can substitute this value of m back into one of the equations to solve for s

$3,502 = s + (0.55 * 640)

s = $2,352

So the function that relates the number of miles driven (x) to the total amount paid (y) is:

y = $2,352 + ($0.55 * x)

Thus, This means that if Rhonda drives x miles in a month, she will be paid a total of $2,352 + ($0.55 * x).

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A graph is a visual representation of data, showing relationships between different variables or values.

Graphs are often used to represent a function, which is a set of inputs and outputs. A function is a relationship between two variables, where the output of the function depends on the input. In a graph, the input is represented on the x-axis, and the output is represented on the y-axis.

The first graph pictured is a linear function, which is a function that can be expressed as a straight line. This linear graph has a positive slope, meaning that as the input increases, so does the output. This graph represents a linear function because the output can be determined by the input, which is expressed as an equation in the form of y = mx + b.
The second graph pictured is a quadratic function, which is a function that can be expressed as a parabola.

This graph also has a positive slope, meaning that as the input increases, so does the output. This graph represents a quadratic function because the output can be determined by the input, which is expressed as an equation in the form of y = ax2 + bx + c.
Both of these graphs represent functions because they show a relationship between the input and output of a given data set. The input values are shown on the x-axis and the output values are shown on the y-axis, and these values can be used to determine the equation for the function.

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The 2D to 3D conversion process consists of two steps:

A stereo pair is formed by depth estimation of a given 2D image and depth-based rendering of a new image.

A 3D shape is a three-dimensional shape or object that has three dimensions (length, width, and height), as opposed to two-dimensional objects that have only length and width. Other important terms related to 3D geometry are faces, edges, and vertices. Due to its depth, it occupies a certain volume. Some 3D shapes have a base or cross section as a 2D shape. For example, all sides of a cube are squares.

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The standard form of the equation y = 3x + 10 is -3x +y = 10.

To accomplish the given equation and bring it in the standard form for our problem, we first arrange it in standard form and then apply a little algebra to subtract 3x from both sides of the equation.

Given,

y = 3x + 10

Subtract 3x from each side.

Simplify: y - 3x = 3x + 10 - 3x.

y - 3x = 10

The x word should be placed first in the left-hand side arrangement.

-3x + y = 10

We discover that y = 3x + 10 is written as -3x + y = 10.

Ax + By = C is the equation of a line in its standard form, where A, B, and C are constants. There are several possible ways to express a line's equation, and if we are given a line that isn't in standard form, we can apply a little algebra to change the equation.

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Answer:

75

Step-by-step explanation:

3 × 5²

= 3 × 5 × 5

= 15 × 5

= 75

Answer:

75

Step-by-step explanation:

This is testing Order of Operations

PEMDAS

In this equation we see E (exponents) and M (Multiplication)

The E comes first so doing the exponent of 5^2 we get 25, because that's the same as 5 * 5

After the E is the M, so we multiple the 25 by the 3, giving you 75.

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Answer:

f (x) = -x over x+2

Step-by-step explanation: if you want to find the inverse you do f and the exponent of negative 1 (x) = - 2x over 1+x .

Graph for Domain : 1 ≤ x ≤ 3 ; Range : 2 ≤ y ≤ 7 is attached below:

A graph is a kind of a chart where data are plotted as variables across the coordinate.

Given,

Domain : 1 ≤ x ≤ 3

Range : 2 ≤ y ≤ 7

value of y should be 2 to 7.

value of x should be 1 to 3.

Hence, following is the graph that satisfy

Domain : 1 ≤ x ≤ 3

Range : 2 ≤ y ≤ 7

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Tony earned $220

Step-by-step explanation:

Tony = n

Jenifer = x

Chris = y

x = 2n - 40

y = n + 60

Write an equation for the total the three waiters earned. Solve for Tony's earnings.

n + x + y = $900

n+2n−40+n+60=900

Step 1: Simplify both sides of the equation.

n+2n−40+n+60=900

n+2n+−40+n+60=900

(n+2n+n)+(−40+60)=900(Combine Like Terms)

4n+20=900

4n+20=900

Step 2: Subtract 20 from both sides.

4n+20−20=900−20

4n=880

Step 3: Divide both sides by 4.

4n/4 = 880/4

n=220

Answer:

Step-by-step explanation:

5 I think

The rise is 231 feet 10 inches if the horizontal run of the roof is 15 feet 34 inches.

Let us assume that x represents the rise and y represents the run,

According to the given problem,

x= 15 feet 34 inches

Converting feet into inches,

we know, 1 feet = 12 inches

so, 15 feet 34 inches = 15*12+34 = 214 inches

Now finding the rise in terms of x and y,

13 = y/x

substituting the value of x and solving for y:

13 = y/214

y = 13*214

y = 2782 inches

Converting inches into feet,

2782 inches = 2782/12 = 231 feet 10 inches

Thus, The rise is 231 feet 10 inches if the horizontal run of the roof is 15 feet 34 inches.

Correct question: You’re on a residential construction team doing roofing. The pitch of a roof is 13 rise over run. Find the rise if the horizontal run of the roof is 15 feet 34 inches.

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Answer: The exponential form of 1 is 1.

In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 1. The exponential form is simply the number with exponents.

Answer:

I think 0a

Step-by-step explanation:

The triangle that have the same shape but not the same size are similar triangles

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same form but may not be the exact same size.

Two triangles are said to be similar if their corresponding angles are equal. Equiangular triangles are what they are called. Two equiangular triangles were the subject of a significant finding made by the well-known Greek mathematician Thales. He applied the Basic Proportionality Theorem, sometimes known as the Thales Theorem, as a conclusion.

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The value of is dx/dt = 0.95, when x = 12 and y =5.

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.

Given:

dz/dt = 1,

dx/dt = 3(dy/dt)

So, dy/dt = 1/3 (dx/dt)

According to the Pythagoras theorem -

z² = x² + y²

Differentiating both sides we get

d/dt (z²) = d/dt (x² + y²)

2z dz/dt = 2x dx/dt + 2y dy/dt

z dz/dt = x dx/dt + y dy/dt

Substituting the value of  dy/dt -

z dz/dt = x dx/dt + y/3 (dx/dt)

z dz/dt = dx/dt (x + y/3)

dx/dt = (z dz/dt)/(x + y/3).....(1)

So, when x = 12 and y = 5, the value of z -

z = √[(12)² + (5)²]

z = √(144+25)

z = √169

z = 13

Substituting the value of x, y, z and dz/dt in equation (1), we get

dx/dt = (13 × 1)/(12 + 5/3)

dx/dt = 13 / 41/3

dx/dt = (13 × 3)/41

dx/dt = 39/41

Hence, the value of dx/dt = 0.95.

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10 is the standard deviation of the possible outcomes.

It is a branch of mathematics that deals with the occurrence of a random event.

Given a  a binomial trial has a probability of success of 0.2, and 500 trials are performed

We need to find the standard deviation of the possible outcomes

To find the standard deviation of this binomial distribution, first find the variance by the formula:

= Number of trials x probability of success x ( 1 - probability of success )

= ( 500 x 0. 2 x ( 1 - 0. 2))

= 100

The standard deviation would be:

= √(Variance )

= √(100)

= 10

Hence, 10 is the standard deviation of the possible outcomes.

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Based on their percentages, the total number of students in Ridgewood Junior High School is 170.

The percentage refers to the ratio or relative value of a variable or number compared to another.

Percentages are expressed as the product resulting from the multiplication of a quotient (numerator over denominator) by 100.

The percentage of students who brought their lunch = 20%

The number of students who brought their lunch = 34

Since all students either eat from the school cafeteria or bring their launch, the percentage of students who brought their lunch = 80% (1 - 20%).

34 = 20%

The percentage of students in the school = 100% (20% + 80%)

The number of students in the school = 34/20%

= 170

Thus, using percentage ratios, we can conclude that the total number of students in the school is 170.

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The percentage change could be around 50 % as we are doubling the recipe to make 2 pies.

What is percentage ?

percentage can be defined as the product of ratio of given value, total value to the 100.  

Given,

The recipe calls for 4 apples to make a pie.

If I want to double to recipe to make 2 pies,

So,

let the percentage could be x ,

x =( change in value / total value ) * 100

x = (8-4/8)*100

x = 50%

Hence , The percentage change could be around 50 % as we are doubling the recipe to make 2 pies.

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Answer

The answer is (m = 9)

Step-by-step explanation:

Rearrange terms = Step 1

0.4(20-10m) = 2.5 - 2m-12.5

0.4(-10m+20) = 2.5 - 2m - 12.5

Step 2 = Combine multiplied terms into a single fraction

Step 3 = Distribute

Step 4 = Subtract the numbers

Step 5 = Rearrange terms

Step 6 = Add 2m to both sides

Step 7 = Simplify

Step 8 = Multiply all terms by the same value to eliminate fraction denominators

Step 9 = Cancel multiplied terms that are in the denominator

Step 10 = Multiply the numbers

Step 11 =Subtract 40 from both sides

Step 12 = Simplify

Step 13= Divide both sides by the same factor

Last but not least is Simplify

Hope it helped:)

The given are equivalent sets because the number of elements in the sets are equal. So sets A and B are equivalent.

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Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor. For this dilation, the mapping will be ( x , y ) → ( 1.5 x , 1.5 y )

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A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).

A relation between a collection of inputs and outputs is known as a function.

A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain.

The usual way to refer to a function is as f(x), where x is the input.

A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

Hence, A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).

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Answer:  x=−4

Step-by-step explanation: