1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
counterclockwise, what are the coordinates of the image A'B'C'?
90°
2) Which transformation(s) preserve congruence?
3) Which transformation(s) produce similar figures that are not congruent?

Answer:

16

Step-by-step explanation:

B is between AC

AB = 5

BC = 11

5 + 11 = 16

Answer:

I got 38 and 11

Step-by-step explanation:

Answer: No

Step-by-step explanation:

When x=4, there is more than one y-value. Since this means one value of x maps onto more than one value of y, the graph does not represent y as a function of x.

Por lo tanto, el ciclomotor tardaría 6 horas en recorrer la misma distancia que el automóvil que tarda 3 horas a una velocidad de 90 km/h. ¡Espero que esto te ayude!

Para calcular el tiempo que tarda un ciclomotor a una velocidad de 45 km/h en realizar el mismo trayecto que un automóvil que circula a 90 km/h y tarda 3 horas en llegar a su destino, necesitamos utilizar la fórmula de la velocidad media.
La velocidad media se calcula dividiendo la distancia recorrida por el tiempo que tarda en recorrerla.

Sabemos que el automóvil tarda 3 horas en llegar a su destino y circula a una velocidad de 90 km/h.

Por lo tanto, podemos calcular la distancia que recorre utilizando la fórmula de la distancia:
Distancia = Velocidad x Tiempo
Distancia = 90 km/h x 3 h
Distancia = 270 km
Ahora que sabemos que el automóvil recorre una distancia de 270 km, podemos calcular el tiempo que tardaría el ciclomotor en recorrer la misma distancia a una velocidad de 45 km/h utilizando la fórmula de la velocidad media:
Velocidad media = Distancia / Tiempo
Tiempo = Distancia / Velocidad media
Tiempo = 270 km / 45 km/h
Tiempo = 6 horas

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A value that is less than 2 1/5% from the given data is 0. 0215. Option A is the correct answer.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator and denominator.

To find a value that is less than 2 1/5% we need to find the decimal number of a given fraction. to convert the given fraction into decimal form we need to divide the given fraction by 100.

= 2 1/5% / 100

= (2 + (1/5)) / 100

= 0.022

A value that is less than 0.022 from the given data is 0. 0215.

Therefore, a value less than 2 1/5% is 0. 0215.

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The sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.

The sampling interval refers to the time interval between each consecutive sample in a digital signal. It is determined by dividing the digital sampling frequency by the number of samples taken per second. The sampling frequency represents the number of samples captured in one second, while the number of samples per second represents the rate at which the samples are taken. By dividing the sampling frequency by the number of samples per second, we can determine the time interval between each sample.

This is crucial in accurately representing and reconstructing the original analog signal from the digital samples. Therefore, the sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.

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The amount Connor and Ashley need to make to have the same amount saved is $144

Let

Ashley:

1/4x + 11

Connor:

3/8x - 7

1/4x + 11 = 3/8x - 7

11 + 7 = 3/8x - 1/4x

18 = (3x-2x) / 8

18 = 1/8x

x = 18 ÷ 1/8

x = 18 × 8/1

x = $144

Therefore, the amount Connor and Ashley need to make to have the same amount saved is $144

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Answer:

2,10,5,6

Step-by-step explanation:

What are outliers?
Outliers are numbers that are not often used and rarely used. They are least showed. The most number used is called the mode, or average. In this case, the mode is mostly 9. Since numbers like 2,10,5, and 6 are numbers that don't show often, they are outliers. Hope this helped

Answer:

2

Step-by-step explanation:

An outlier is the number that brings that mean/average way down or way up. The outlier in this case is 2 b/c it brought down the mean/average.

Answer:

32 degrees and 10km Apart

Step-by-step explanation:

110-100=10

62-30=32

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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588 people can sit in the theater. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four basic operations, often referred to as "arithmetic operations", are thought to be able to describe all real numbers. Divide, multiply, add, and subtract are the four mathematical operations that result in the quotient, product, sum, and difference.

We are given that the theater of the Washington Elementary School has 14 rows of 42 seats.

So, using the arithmetic operations, the total seats in the theater are as follows:

Total seats = 14 * 42

Total seats = 588

Hence, 588 people can sit in the theater.

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If a minus b=5 and  \(a^2+b^2\)=9 then using algebraic identity ab= -8.

What is algebraic identity?

Algebraic identities are algebraic equations that are true regardless of the value of each variable. To quickly solve an algebraic statement or polynomial, algebraic identities are utilised. The calculation is simplified by it. The three mathematical algebraic identities are:

Identity 1: \((a+b)^2=a^2+b^2+2ab\)

Identity 2:\((a-b)^2=a^2+b^2-2ab\)

Identity 3:\((a^2-b^2)=(a+b)(a-b)\)

Here a-b= 5 and \(a^2+b^2\)=9.

Using algebraic identity formula,

=> \((a-b)^2\)=  \(a^2+b^2\)-2ab.

=> \(5^2\)= 9-2ab

=> 25=9-2ab

=> 2ab = 9-25

=>2ab = -16

=> ab = -16/2 = -8.

Hence the value of ab= -8.

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According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.

To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.

The general formula for exponential decay is given by:

A(t) = A₀ * e^(-rt),

where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.

In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).

We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:

0 = 300 * e^(-0.01481t).

To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:

ln(0) = ln(e^(-0.01481t)),

0 = -0.01481t.

To isolate t, we divide both sides by -0.01481:

0 / -0.01481 = t,

t = 0.

Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

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the general form of the equation is

where m is the slope and b the y-intercept

from the graph we can notice the y-intercept is 0 because touch the y-axis on 0, so b=0

now we can repalce a point and b on the general equation to find the slope, m

i will use the point ( 90 , 30 )

so

the slope is 1/3

so the equation is

Answer:

1.626 and then theres a lot more numbers

Step-by-step explanation:

Answer:

1.62614012e-7

Step-by-step explanation:

this is the answer to 7/9 to the 8th power

Answer:

x=9 im pretty sure

Step-by-step explanation:

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

Using Trigonometric ratios :

\(\qquad \sf  \dashrightarrow \: \cos(45 \degree) = \dfrac{b}{ 4 } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{b}{4} \)

\(\qquad \sf  \dashrightarrow \: b = \dfrac{4}{ \sqrt{2} } \)

\(\qquad \sf  \dashrightarrow \: b = 2 \sqrt{2} \)

Answer:

rational...bcz it can be written in the form of p/q

that's 15/100

it is rational number

Step-by-step explanation:

plz make me brainliest

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Answer:

addition

-5x-6= -8

-5×= -2

x=2/5

Answer:

addition

Step-by-step explanation:

-5x-6= -8

-5×= -2

x=2/5

Solution for the given system of equations is x = 1/(y - 6). To explain further, let's examine each equation one by one.

In equation (F), y is in the denominator of the fraction, so we cannot solve for x directly. Similarly, in equation (H), x is in the denominator, making it difficult to find an explicit solution. In equation (G), we have x = 1/(y² - 6), which is a possible solution. However, in equation (I), we have x = 1/(y² + 6), which is not consistent with equation (G) and cannot be a valid solution. Finally, in equation (E), x = 1/(y - 6), we have a clear expression for x in terms of y. This equation provides a solution that is valid for the entire system. By substituting this expression for x in any of the other equations, we can see that it satisfies the given system of equations. Therefore, x = 1/(y - 6) is the main solution for the system.

In summary, the main solution for the given system of equations is x = 1/(y - 6). This expression provides a consistent solution that satisfies all the equations. By substituting this expression for x in any of the equations, we can verify its validity. It is important to carefully analyze each equation to identify the appropriate solution, taking into account the relationship between the variables and the constraints imposed by the equations.

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Answer:

1st blank : 1

2nd : 3

3rd : 5

4th: 7

Step-by-step explanation:

you have to replace x in the equatoin by the numbers you have in the first line.

For example : y= 2x+5

y= 2(-2) + 5

y= -4+5

y= 1

The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days

1cm is about 0.394in

1in = 2.54cm