What are the coordinates of the vertices of the reflected polygons when the x-axis and y-axis are used as the lines of reflection?

Answer:

Graph number 3 is correct :)

Answer:

It's the 3rd pic

Step-by-step explanation:

It's written in y=mx+b form

the m is slope so 2/3 is the slope. You go up 2 and right 3

b is the y-intercept

hope this helps

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Answer:

1400

Step-by-step explanation:

the number of girls aged 16 - 17 that do not exercise = 11/25 x 2500 = 1100

The total number of girls that do not exercise = 2500 - 1100 = 1400

Answer:

3

Step-by-step explanation:

Diagonals of an isosceles trapezoid are congruent, so:

\(3x+18=11x-6 \\ \\ 18=8x-6 \\ \\ 8x=24 \\ \\ x=3\)

The rate at which the light source must rotate to keep the light pointed at the person is \(\frac{2\sqrt{2}}{5}\) rad/s.

Given that a light source is positioned 40 ft away from the center of the rectangle. A person moves from one end of the rectangle to the other at a speed of 50 ft/s. When the person is 30 ft past the center of the rectangle, we need to find at what rate (in rad/s) must the light source rotate to keep the light pointed at the person.

We are given the following diagram: \(\Delta ABP\) is right-angled at P and \(PC \perp AB\).

Also, we can say that \(PB= \frac{1}{2}AB\) and \(AP = BP = \frac{1}{2} \sqrt{AB^2 + PC^2}\).

We know that AB = 80 feet as the person moves from one end of the rectangle to the other and PC = 30 feet when the person is 30 feet past the center of the rectangle. Thus

\(AP = BP = \frac{1}{2} \sqrt{80^2 + 30^2} = 25\sqrt{2}\) feet.

Using the diagram, we can write:

\(\frac{d \theta}{dt} = \frac{v}{AP}\),

where \(\frac{d \theta}{dt}\) is the rate of rotation of the light source in radians/second and v = 50 ft/s is the speed of the person.

To find \(\frac{d \theta}{dt}\), we substitute the given values into the above equation:

\(\frac{d \theta}{dt} = \frac{50}{25\sqrt{2}}\)\(\Rightarrow \frac{d \theta}{dt} = \frac{2\sqrt{2}}{5}\) rad/s.

Thus, the rate at which the light source must rotate to keep the light pointed at the person is \(\frac{2\sqrt{2}}{5}\) rad/s.

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When given triangles are given then the value of x and y is 5 and 14 respectively.

When BC is similar to EF.

19= 4x-1

19+1=4x

20=4x

x=5

When DE is similar to AB

y-6 =8

y=8+6

y=14

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.

A pair of triangles are said to be similar if two pairs of corresponding angles in those triangles are congruent. We can conclude that the third pair must also be equal if the first two angle pairs are. When all three pairs of angles are equal, the sides of the three triangles must also be proportionate.

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Answer:

\(y=-\frac{1}{5}x\)

Step-by-step explanation:

Start by finding the slope of the line. Slope is defined as the RISE over the RUN. Find two points on the line with clear coordinate pairs. The line clearly passes through the origin, and the point (5,-1). To get from one point to the other, I have to go DOWN 1 unit. This is the RISE. The rise is -1 because I am going down. I also have to go RIGHT 5 units. This is the RUN. Slope is rise divided by run. Since a positive number divided by a negative number is a negative number, I move the negative sign outside the fraction: \(-\frac{1}{5}\). This is the slope!

The line crosses the y-axis at 0, so the y-intercept is 0.

Point-slope form is a way to write linear equations. It looks like this:

\(y=mx+b\)

The letter m represents the slope, and the letter b represents the y-intercept. Let's plug in the values we found for those respectively:

\(y=-\frac{1}{5}x+0\)

This simplifies to the equation below! This is the equation of the line!

\(y=-\frac{1}{5}x\)

Therefore, there are $2^{10} = 1024$ different ways that the group of 10 Caltech students can go to lunch at Lake Street, either choosing Chipotle or Panda Express.

To solve this problem, we can use the fundamental principle of counting, also known as the multiplication principle.
For the first student, there are two choices - either Chipotle or Panda Express. Similarly, for the second student, there are two choices, and so on. Therefore, the total number of ways that the group of 10 students can go to lunch is simply the product of the number of choices for each student:
$2 \times 2 \times 2 \times \dots \times 2$ (10 times)
This can be simplified using exponential notation as $2^{10}$.
It is worth noting that if the group were to split up and some students went to Chipotle while others went to Panda Express, then the number of ways would be different and would require a different approach to solve. But since the problem specifies that each student goes to either Chipotle or Panda Express, we can use the multiplication principle to find the answer.

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Answer:

I think it is 3 feet

Step-by-step explanation:

12:9 is equal to 4:3

4:? should also be equal to 4:3, so ?=3

Hope this helps

let me know if it does and if it is right

Answer:

8

Step-by-step explanation:

1/2*4*4*1=8

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

\(Area=2*\frac{1}{2} (a+b)*h\)

\(Area=2*\frac{1}{2} (1.4+2.3)*1.9\\\)

\(Area=3.7*1.9\)

\(Area = 7.03m^{2}\)

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

Notice that the angles of 140° and (8x)° are supplementary angles, since they make an angle of 180°. Then:

Solve for x:

Therefore, the value of x is:

Answer:

Step-by-step explanation:

so we can make a system of equations

y=hotdogs

x=hamburgers

you need a combination that sums to 23, so add the two and get 23:

y+x=23

and then you need to account for how much money you have and the cost.

1.50x+1.10y=32.10

still working on it, will edit in rest so that you can see what I did

330 m/s also means \(\dfrac{330 \text{ m}}{1 \text{ s}}\), which is the same as \(\dfrac{1 \text{ s}}{330 \text{ m}}\).

If you take that last version and multiply it by 80 m:

\(80 \text{ m} \cdot \dfrac{{1 \text{ s}}}{330 \text{ m}} = \dfrac{80}{330} \text{ s}\)

80/330 ≈ 0.2424...

Kris's bike gives a fuel efficiency of 66 MPG (297 miles/4.5 gallons), Jake's bike gives an efficiency of 61 MPG (366 miles/6 gallons), and Ben's bike gives an efficiency of 50.92 MPG (265.2 miles/5.2 gallons). Hence, Kris's bike gave the best mileage among the three.

To determine which bike gave the best mileage, we need to calculate the fuel efficiency of each bike. Fuel efficiency is measured in miles per gallon (MPG) and is calculated by dividing the distance traveled by the amount of fuel consumed.

For Kris's bike, we know that it traveled 297 miles and used up 4.5 gallons of gas. Therefore, its fuel efficiency is 66 MPG (297 miles/4.5 gallons).

For Jake's bike, we are given that it can travel 366 miles on a full tank of 6 gallons. Therefore, its fuel efficiency is 61 MPG (366 miles/6 gallons).

For Ben's bike, we know that it used up 5.2 gallons of gas to cover a distance of 265.2 miles. Hence, its fuel efficiency is 50.92 MPG (265.2 miles/5.2 gallons).

Comparing the three fuel efficiencies, we can see that Kris's bike gave the best mileage among the three with an efficiency of 66 MPG. Jake's bike comes in second with an efficiency of 61 MPG, while Ben's bike has the lowest efficiency of 50.92 MPG.

Therefore, if we were to choose a bike based on fuel efficiency alone, Kris's bike would be the best choice as it travels the longest distance on the least amount of fuel.

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The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.

The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).

Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3

Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

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The roots of the given quadratic equation are x = -2/3 and x = -2.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is a quadratic equation as follows -

3x² + 7 = - 8x + 3

The given quadratic equations are -

3x² + 7 = - 8x + 3

3x² + 8x = 3 - 7

3x² + 8x + 4 = 0

(x + 2/3)(x + 2) = 0

(x + 2/3) = 0   and   (x + 2) = 0

x = -2/3   and   x = -2    

Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.

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Answer:

he would have bought 6 5/6 pounds of rice.

Step-by-step explanation:

4 1/2 + 2 1/3 = ?

First, you want to get common dominaters. And the closest number is 6

4 3/6 + 2 2/6 = 6 5/6

This can not be simplifyed so that would be your answer.

The total weight, in pounds, of rice purchased by Marcus in the two-day period is \(6\frac{5}{6}\) pounds.

It is given that,

Amount of rice purchased on Monday = \(4\frac{1}{2} pounds\)

Amount of rice purchased on Tuesday\(=2\frac{1}{3} pounds\)

the total weight, in pounds, of rice purchased by Marcus in the two-day period is computed as;

                            \(=4\frac{1}{2}+2\frac{1}{3} \\\\=\frac{9}{2} +\frac{7}{3} \\\\=\frac{27+14}{6} \\\\=\frac{41}{6}\\ \\=6\frac{5}{6} pounds\)

Therefore, the total weight of rice is \(6\frac{5}{6}\) pounds.

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Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

The mean of the batting averages is 0.341125.

Mean is used to summarize a set of data, frequently to help determine the overall significance of the data set.

To find the mean of the batting averages, we need to sum up all the batting averages and divide by the total number of players.

Batting averages: .373, .360, .321, .321, .320, .312, .311, .311

Sum of batting averages = .373 + .360 + .321 + .321 + .320 + .312 + .311 + .311

Sum of batting averages = 2.729

Now, we divide the sum by the total number of players, which is 8:

Mean = Sum of batting averages / Total number of players

Mean = 2.729 / 8

Calculating the mean:

Mean ≈ 0.341125

The mean of the batting averages is approximately 0.341125.

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Answer:

b is the correct answer

80r144

Step-by-step explanation:

Answer:

12n -7

Step-by-step explanation:

pls mark brainliest!!

Mathematical approaches to aggregate planning involve using quantitative methods to determine the optimal production and resource allocation strategies over a specified planning horizon. These approaches utilize mathematical models to optimize various factors such as production costs, inventory levels, and customer demand.

One mathematical approach to aggregate planning is linear programming, which formulates the planning problem as a linear optimization model. Linear programming considers constraints such as capacity limits, labor availability, and demand variability to find the best allocation of resources and production levels. The objective is to minimize costs or maximize profit while meeting demand requirements.

Another approach is the use of mathematical forecasting techniques to predict future demand. Time series analysis, regression analysis, and other statistical methods can be employed to forecast demand patterns. These forecasts serve as inputs to mathematical models, such as inventory control models or production planning models, which determine the optimal production levels and inventory policies based on the anticipated demand.

Simulation modeling is another mathematical approach where computer-based simulations are used to evaluate different scenarios and make decisions about production levels, inventory levels, and workforce scheduling. These models consider various factors like demand variability, production capacity, and resource availability to simulate the system's behavior and analyze the impact of different planning strategies.

Overall, mathematical approaches to aggregate planning provide a systematic and quantitative way to optimize production and resource allocation decisions, considering factors such as demand, capacity, costs, and constraints. These approaches help organizations make informed decisions to meet customer demand efficiently while minimizing costs and maximizing operational performance.

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Answer:

40,320 different ways

Step-by-step explanation:

Here, we want to arrange 8 flags in a row

In the row, there will be 8 places

The first place has 8 flags to be chosen from

The second place has 7 and like that

So mathematically, the number of ways that we can arrange the flags is 8 factorial ways

We have this as:

8! = 40,320 different ways

Answer:

65 people

Step-by-step explanation:

0 represents the unknown value

0-19= -19

-19+17= -2

63+ the two that were lost during the journey=65

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:

Step-by-step explanation:

Statement.                  Reasoning

1.AC=HF.                        1. Given

2.BC=FE.                        2. Given

3. Angle ACB=               3. Right angles are congruent

Angle HFE

4. Triangle ABC = Triangle 4. SAS, side angle side

HEF

Statement.                  Reasoning

1.AC=HF.                        1. Given

2.BC=FE.                        2. Given

3. Angle ACB=               3. Right angles are congruent

Angle HFE

4. Triangle ABC = Triangle 4. SAS, side angle side

HEF is the correct answer

An increasing exponential function is defined as follows:

y = a(1 + r)^x.

In which:

For this problem, the function is given as follows:

y = 20000(1.14)^t.

In which the parameters are given as follows:

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Step-by-step explanation:

I can barely see the questions