Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′?

It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).

(Please answer asap ;-;)

To find intervals of increase or decrease, analyze the function's derivative or slope. Linear regression uses a straight line equation to estimate these trends graphically. Graphs are helpful for visually representing increase or decrease rates and other numerical relationships.

To find intervals of increase or decrease in a function, you need to analyze the function's derivative. If the derivative is positive over an interval, the function is increasing; if the derivative is negative, the function is decreasing. An example of observing such behavior is through graphical analysis, where you look for portions of the graph that have an upward or downward slope, respectively.

Linear regression is a tool used to determine the rate of increase or decrease over a set of data points. By fitting a line X = S\u00d7t + I, where S is the slope and I the intercept with the vertical axis, one can estimate the trend or rate of change, assuming a linear relationship.

To describe the rate of growth in various contexts, such as population growth or economic data, graphs can display these trends visually. For different applications, such as contour mapping in geography, the interval of change might be adjusted to represent details accurately. A constant rate of growth assumption, however, isn't always correct and must be adjusted depending on the circumstances.

Answer:

Option C

201 feet²

Step-by-step explanation:

Given in the question,

diameter of the circular graph = 16 feet

Formula to calculate the area of garden

where π is constant = 3.14

           r is the radius

To find the radius

16/2

8 feet

Plug in values to calculate area

(3.14) 8²

200.96 feet²

Area of the circular garden having 16 feet diameter is 201 (approximate)

Answer:

2(10+15)= (2x10)+(2x15) 20+30=50

Step-by-step explanation:

The expression 2(10+15) rewritten using the distributive property is 20 + 30, which simplifies to 50.

Rewriting the expression 2(10+15) using the distributive property of multiplication over addition involves multiplying the 2 by each term inside the parentheses. To do this, multiply 2 by 10 to get 20, and then multiply 2 by 15 to get 30. Combine these two products to complete the process.

Here's the calculation step by step:

Therefore, the expression 2(10+15) using the distributive property is 20 + 30 which simplifies to 50.

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Answer:

This is because this equation equals 0 when x = -5

Step-by-step explanation:

To find this, plug the value in for x.

-1.3x - 6.5

-1.3(-5) - 6.5

6.5 - 6.5

0

The expression -1.3x - 6.5 evaluated at x=-5 equals zero, which is why it is neither positive nor negative.

To verify this let's evaluate it step by step.

Substitute x = -5 into the expression:

-1.3(-5) - 6.5

Then, multiply -1.3 by -5:

-1.3 * (-5) = 6.5

Then, subtract 6.5:

6.5 - 6.5 = 0

The expression -1.3x - 6.5 evaluated at x=-5 equals zero, which is why it is neither positive nor negative.

Answer:

it might be d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hi

ANSWER

A. 27.5

EXPLANATION

The average rate of change of the given quadratic function on the interval;

x=2 to x=4 is the slope of the secant line connecting the points (2,f(2)) and (4,f(4)).

This implies that the average rate of change is

[tex] = \frac{f(4) - f(2)}{4 - 2} [/tex]

From the table,

[tex]f(4) = 64[/tex]

and

f(2)=9.

The average rate of change becomes

[tex] = \frac{64 - 9} {4 - 2} [/tex]

[tex] = \frac{55}{2} = 27.5[/tex]

The correct choice is A.

Answer:

x = 2

x = -4

x = -3/2

Step-by-step explanation:

We need to find the roots of the equation

2x^3 + 7x^2 – 10x – 24 = 0

We can factorize the equation into

(x-2)(x+4)(2x + 3) = 0

Roots

x = 2

x = -4

x = -3/2

The answer to your question is also attached in the images below

Answer:

x=2 ; x=-4 or x=-3/2

Step-by-step explanation:

We are given a cubic polynomial

[tex]2x^3+7x^2-10x-24=0[/tex]  

Here as we are having a cubic equation to factorize, we have to find some value of x such that when we put that value in place of x , it gives us a 0. We have to try it randomly like first we try it for x=1 then x=2 and so on.

On trying for x=2 , we see that the equation becomes 0=0 and hence x=2 is one of the solution. And also as x=2 is one of the solution, (x-2) must be one of the factor. Now we use this property to determine the other factor like this.

[tex]2x^3+7x^2-10x-24=0[/tex]

Adding and subtracing [tex]4x^2[/tex] to [tex]2x^3[/tex] we get

[tex]2x^3-4x^2+4x^2+7x^2-10x-24=0[/tex]

Now we take out [tex]2x^2[/tex] as GCF

[tex]2x^2(x-2)+11x^2-10x-24=0[/tex]

Now subtracting and adding [tex]22x[/tex] to [tex]11x^2[/tex]

[tex]2x^2(x-2)+11x^2-22x+22x-10x-24=0[/tex]

taking [tex]11x^2[/tex] as GCF out  

[tex]2x^2(x-2)+11x(x-2)+22x-10x-24=0[/tex]

[tex]2x^2(x-2)+11x(x-2)+12x-24=0[/tex]

[tex]2x^2(x-2)+11x(x-2)+12(x-2)=0[/tex]

Now taking [tex](x-2)[/tex] out as GCF

[tex](x-2)(2x^2+11x+12)[/tex]

Now we need to split the middle term of [tex](2x^2+11x+12)[/tex] to factorize it in such a way that their product is 2*12 and sum is 11. We have 8 and 3 as these factors.

Hence it can be factored like this

[tex](2x^2+11x+12)\\2x^2+8x+3x+12\\2x(x+4)+3(x+4)\\(2x+3)(x+4)[/tex]

Hence our answer will be

[tex](x-2)(2x+3)(x+4)=0[/tex]

And thus the solutions will be

x-2=0 : x=2

x+4=0 ; x=-4

2x+3=0 ; x=-[tex]\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

The starting number is 6

6*6=36

36-6=30

6*5=30

Answer:

My guy tha answer is x=6

Step-by-step explanation:

how i know, because i got it right

The total number of paper airplanes Fiona and her family made can be represented by the numerical expression: (12 + 8) x 2 + 3.

The total number of paper airplanes Fiona and her family made can be represented by the numerical expression: (12 + 8) x 2 + 3. The expression uses parentheses to indicate that the addition of 12 and 8 should be done first. Then, the result is multiplied by 2 to account for the doubling of planes in the afternoon. Finally, 3 is added to account for the extra planes made by Fiona's little brother. This expression represents the total number of paper airplanes made by Fiona and her family without simplifying it.

Answer:

the answer is c, squared

Step-by-step explanation:

The units for surface areas will always be squared.

Thus, option (3) is correct.

The units for surface areas are always squared because they represent the measure of a two-dimensional space.

As, to calculate the surface area of an object, determining the total area of all its exposed sides, which involves measuring length and width (or height) and multiplying them together.

As a result, the units of surface area are expressed in square units, such as square inches (in²), square meters (m²), or square centimeters (cm²).

Learn more about Surface Area here:

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Answer:

[tex]7+6\times(14-9)=37[/tex]

Step-by-step explanation:

The given expression is

[tex]7+6\times14-9[/tex]

If we evaluate the expression as it is  we will get;

[tex]7+84-9=82[/tex]

But we want to insert parenthesis so that we will use PEDMAS to obtain 37 as the result.

The only way this can be achieved is when we insert the parenthesis as shown below;

[tex]7+6\times(14-9)=7+6(5)=7+30=37[/tex]

Answer

D. -3x + 4(2x-6) + 5

Step-by-step explanation:

-3x has nothing attached to it so leave it alone

4 times 2x equals 8x and 4 times -6 equals -24

add 5

8x-3x=5x

-24 + 5 = -19

5x - 19

Answer: The answer is D

Step-by-step explanation:

I forgot set by step so I hope u figure that part out though

Answer:

D.) 2.5 miles

Step-by-step explanation:

The first step required for solving this problem is to calculate the midpoint between the theater and the mall (2, 1.5). Then use the distance formula to calculate the distance from the bowling alley to the mall.

The distance from the bowling alley to the mall is 2.5 miles. The coordinates of the midpoint, which is the location of the bowling alley, are calculated first. Then, using the Pythagorean theorem, the distance to the mall is found by calculating the square root of the sum of the squares of the horizontal and vertical distances.

The task is to calculate the distance from the bowling alley to the mall if the bowling alley is at the midpoint between the movie theater at (0,0) and the mall at (4,3). First, we find the coordinates of the midpoint, which is the average of the x-coordinates and the y-coordinates of the two points respectively. Thus, the midpoint is located at:

So, the bowling alley is at point (2, 1.5). Secondly, we use the Pythagorean theorem to find the distance from the bowling alley to the mall:

Applying the distance formula (or Pythagorean theorem):

Distance = √( Δx² + Δy² ) = √( 2² + 1.5² ) = √( 4 + 2.25 ) = √6.25 = 2.5 miles

Therefore, the approximate distance from the bowling alley to the mall is 2.5 miles, which corresponds to answer (D).

Answer:

Step-by-step explanation:

It is unknow. This is because x can be any number.

hope this helps :)

Step-by-step explanation:

dh/dt=-32t+32

When velocity, dh/dt, is equal to zero, the object is at its maximum height.

dh/dt=0 only when 32t=32, t=1 second, so the maximum height is h(1)

h(1)=-16+32=16ft

Using algebra

The maximum height will occur at the midpoint between the two zeros of the height function because of a quadratics symmetry...

h(t)=0 when

-16t^2+32t=0

-16t(t-2)=0

so t=0 and 2

The midpoint is t=1

And of course this will give you the same as we found earlier.  The maximum height is h(1) ft

Answer:

dh/dt=-32t+32When velocity, dh/dt, is equal to zero, the object is at its maximum height.dh/dt=0 only when 32t=32, t=1 second, so the maximum height is h(1)h(1)=-16+32=16ftUsing algebraThe maximum height will occur at the midpoint between the two zeros of the height function because of a quadratics symmetry...h(t)=0 when-16t^2+32t=0-16t(t-2)=0so t=0 and 2The midpoint is t=1

Hope this helped Wilbert!

Answer:

Step-by-step explanation:

We graph the function.

Final answer:

Plotting points that satisfy an equation or inequality creates a graph representing their relationship, with lines or curves like parabolas depending on the equation type.

Explanation:

When we plot all the points that satisfy an equation or inequality, we create a visual representation of the relationship between variables that are described by that equation or inequality. For instance, if the equation is linear and we plot its solutions on a graph, we will see a line. The y-intercept is an important feature of this line, indicating the point where the plot crosses the y-axis. In the case of a quadratic equation, plotting its solutions results in a parabola. If we want to determine whether the plot crosses a particular axis, such as the t-axis, we may need to analyze the discriminant (D) of the quadratic equation, which tells us whether the equation has real roots and, consequently, intersects with the axis.

According to Casio Calculations the Answer is C.

Answer:

1 line of symmetry through the middle making 2 v s

Step-by-step explanation:

Answer: The figure has 1 line of symmetry.

Step-by-step explanation:

A figure is said to has a line of symmetry if we can draw a line that divides the entire figure into two equal halves, so that each half appears as a reflection image or the mirror of the other.

In the given picture , if given a figure of alphabet W.

It has only a vertical symmetry ( see below the line of symmetry divides W into two Vs) but no horizontal symmetry and any other symmetry.

Therefore , it has only one line of symmetry.

Hence, the figure has 1 line of symmetry.

Answer:

$4779

Step-by-step explanation:

First you need to write an equation to model this situation. In this case it's f(x)=1000(1.12)^x. College usually lasts 4 years, so to find the total amount of money they need to budget, you need to find the sum of f(0), f(1), f(2), and f(3).

This is roughly equivalent to 1000+1120+1254+1405, which equals 4779.

Answer: A

Step-by-step explanation:

It looks like its A to me but I actually am not 100% on this one

sorry for using printed paper, I tried my best to avoid the lines

Answer:

30x³ + 9x² + 32x - 7

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

5x(6x² + 3x + 7) - 1 (6x² + 3x + 7) ← distribute both sets of parenthesis

= 30x³ + 15x² + 35x - 6x² - 3x - 7 ← collect like terms

= 30x³ + 9x² + 32x - 7

Answer:

70 degrees

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

(a) Calculate the value of x

∠A +   ∠B     +   ∠C    = 180

40 + 2x - 30 + x + 20 = 180

Combine like terms

3x + 30 = 180

Subtract 30 from each side

3x = 150

Divide each side by 3

x = 50

(b) Calculate m∠B

m∠B = 2x - 30 = 2×50 - 30 = 100 - 30 = 70°

Answer:

-22

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

got it right on test

9x= 4x +35

5x=35

x=6

ask if u need explanation

To find the value of x that makes the equation true, you need to solve the equation 9x = 4x + 25 by subtracting 4x from both sides and then dividing by 5 to find x = 5.

Value of x: To find which value of x makes the equation 9x = 4x + 25 true, you need to solve the equation.

Step-by-step explanation:

Subtract 4x from both sides: 9x - 4x = 25

This simplifies to 5x = 25

Divide by 5 to solve for x: x = 5

Therefore, the value 5 makes the sentence 9x= 4x+ 25​ true.

Answer:

24 inches

Step-by-step explanation:

1/2 of 4 feet is 2 feet

you know that 1 feet = 12 inches

So 2 feet = 24 inches

Answer:

8 boxes

Step-by-step explanation:

45/6 is 7.5 boxes, but you can not have half a box so the fewest number of boxes is 8.

The total surface area of a square pyramid with a side length of 4 feet and a height of 6 feet is 64 square feet.

To find the total surface area of a square pyramid, we need to calculate the area of the base and the area of all four triangular faces. The area of the base (a square) can be found using the formula side². In this case, that's 4² which equals 16 square feet. To find the area of a triangular face, we use the formula 0.5 * base * height. Since we have 4 identical triangular faces, we calculate this once and then multiply by 4. The base of each triangle is the side of the square, which is 4 feet, and the height is given as 6 feet. Plugging these values into the formula we get 0.5 * 4 * 6 = 12 square feet for one triangular face. Since there are 4 of these faces, the total surface area of the faces is 4 * 12 = 48 square feet. Adding this to the area of the base, we find the total surface area of the pyramid is 16 + 48 = 64 square feet.

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To find the total area of a square pyramid, calculate the area of the base and the area of the four triangular faces. The total area is 64 square feet.

To find the total area of a square pyramid, you need to calculate the area of the base and the area of the four triangular faces. Since the base is a square with sides measuring 4 feet, its area is 4 x 4 = 16 square feet.

To find the area of each triangular face, you can use the formula for the area of a triangle: (base x height) / 2.

In this case, the base of each triangular face is 4 feet and the height is 6 feet, so the area of each face is (4 x 6) / 2 = 12 square feet. Since there are 4 triangular faces, the total area of these faces is 4 x 12 = 48 square feet.

Finally, you can find the total area of the pyramid by adding the area of the base and the area of the faces: 16 + 48 = 64 square feet.

Therefore, the total area of the square pyramid is 64 square feet.

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Circumference is found by multiplying the diameter by PI,

so a circumference of 6PI means the diameter is 6 inches.

Area is found using the formula PI x r^2

r = 1/2 the diameter

r = 6/2 = 3

The area becomes 3^2 x PI = 9PI inches.

The answer is C.

Answer:

[tex] 4x^3 + 2x^2 + 2x[/tex]

Step-by-step explanation:

The functions are [tex]f(x) = 9x^3 + 2x^2 -5x + 4[/tex] and [tex]g(x) = 5x^3 - 7x + 4[/tex]. Find the equation when g is subtracted from f and combing like terms. Remember like terms are terms with the same base and exponent.

[tex](9x^3 + 2x^2 -5x + 4) - (5x^3 - 7x + 4)\\f(x) - g(x) = 9x^3 + 2x^2 -5x + 4 -5x^3 + 7x -4\\f(x) - g(x) = 4x^3 + 2x^2 + 2x[/tex]

Hey there!

First, let’s find the total amount of soup cans:

1 chicken soup

3 vegetable soup

1 tomato soup

1 + 3 + 1 = 5

Therefore, the odds of you randomly selecting the tomato soup is 1/5

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx