Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply

The solution to the equation is x = 7 , -2 , Option C and D is the right answer.

An equation is a mathematical statement formed when two algebraic expression are equated by an equal sign.

It is given that the equation is

[tex]\rm 3 +\sqrt{3x - 5}= x[/tex]

Taking square on both sides

3x-5 = (x-3)²

3x-5 = x² +9 -6x

x² -9x -14 = 0

x² -7x +2x -14 = 0

x(x-7) +2(x-7) = 0

(x-7)(x+2) = 0

x =7 , x = -2

Therefore the solution to the equation is x = 7 , -2 , Option C and D is the right answer.

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The height of domino number 10 is 56.9 inches.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The exponential function:-An exponential function is given by:

y = abˣ

where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor

Let y represent the height of the number x domino

Since the height of the smallest domino no 0 is 3 inches, hence a = 5. b = 100% + 19% = 1.19

y = 10(1.19)ˣ

For x = 10:

y = 10(1.19)¹⁰= 56.9 inches

Therefore the height of domino number 10 is 56.9 inches.

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Answer:

1/11 = 0.090909090909090909........................

Answer:

(-25, 25)

Step-by-step explanation:

let me know if you want an explanation!

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Answer:  [tex]\textsf{y = 4x - 12}[/tex]

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Given: [tex]\textsf{Slope = 4, Point = (2, -4)}[/tex]

Find:  [tex]\textsf{The equation in slope-intercept form}[/tex]

Solution: We need to plug in the values into point-slope form and after simplifying, distributing, and solving for y we will have our equation in slope-intercept form.

Plug in the values

Distribute and simplify

Subtract 4 from both sides

Using the information that was provided in the problem statement we were able to determine that the equation in slope-intercept form was y = 4x - 12.

Answer:

y = 4x - 12

Step-by-step explanation:

Given:

slope of 4, and point (2, -4)

Here, we're being asked to write the equation in Slope-Intercept Form. As we have been given the slope and a point on the line, we can use the Point-Slope Form to be able to find that equation.

First, know the two forms:

⇒ Point-Slope Form: y - y₁ = m(x - x₁)

where: m is the slope, and (x₁, y₁) is the given point

⇒ Slope-Intercept Form: y = mx + b

where: m is the slope, and b is the y-intercept

Now, substitute the given values into the Point-Slope Form:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-4) = 4(x - 2) [simplify]

⇒ y + 4 = 4x - 8

Change to the Slope-Intercept Form:

⇒ y + 4 = 4x - 8 [subtract 4 from both sides]

⇒ y + 4 - 4 = 4x - 8 - 4

⇒ y = 4x - 12

Therefore, the equation of the line in slope-intercept form is: y = 4x - 12

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Step-by-step explanation:

Hi There! Let me help you :)

To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.

[tex] = {48}^{ \frac{1}{2} } [/tex]

[tex] = {(16 \times 3)}^{ \frac{1}{2} } [/tex]

[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]

[tex] \: [/tex]

—Use the general formula of the exponential, where a^m/n = ^n√a^m.

[tex] \: [/tex]

[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]

[tex] = \sqrt[2]{16} \times {3}^{ \frac{1}{2} } [/tex]

[tex] = 4 \times {3}^{ \frac{1}{2} } [/tex]

The answer is C.

Answer:

The team won 144 gold medals

Step-by-step explanation:

A fraction tells us how many parts of a whole we have

144 / 360 translated into words is 144 out of 360

144 is the part and the 360 is the whole (total)

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Answer: 23.476 = 20+3+0.4+0.07+0.006

Step-by-step explanation:

I think you were supposed to write down the choices but I will guess the answer is this one:

23.476 = 20+3+0.4+0.07+0.006

Hope I helped!

Answer: B. One solution

Step-by-step explanation: As you see, both of these lines intersect on the point (0, 3). The point where the lines intersect is the solution. Since these lines are perpendicular, they will only intersect one time. Therefore, there is only one solution, that being (0, 3).

I hope this helps!! Pls mark brainliest :)

Answer:

There were 120 marbles to start

Step-by-step explanation:

Let x be the number of marbles at the start

x* 5/12 = number of marbles given away

1 -5/12 = 7/12 = fraction of marbles left

x * 7/12 = number of marbles left

x * 7/12 = 70

Multiply each side by 12/7

x *7/12 * 12/7 = 70 * 12/7

x =120

There were 120 marbles to start

The information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The speed of Bailey = x miles

The speed of the Julie = 3x miles

The ratio of the speeds will be given as:-

J / B = 3x / x

J / B = 3

J = 3 B

Therefore information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

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Answer:

x=6

Step-by-step explanation:

check the scale factor by the fraction 10/5

after/before

it simplifies to 2 meaning that the second triangle is two times the size of the first

then take 3 fron segment AB to the similar segment DE and times it by the scale factor(2)

2×3=6

Answer:

6

Step-by-step explanation:

since AC = 5. and DF = 2(5) = 10

FW = 2(4)=8 DE= 2(3) = 6

therefore x = 6

Two sets of angles are corresponding angles will be ∠w = ∠v and ∠x = ∠y. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Two similar triangles are shown below:

Then two sets of angles are corresponding angles will be

∠w = ∠v and ∠x = ∠y

Then the correct option is A.

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Answer:

the first equation could be something along the lines of [tex]y=3x^{2}[/tex] then the second is [tex]y=3x^{2} -3\\[/tex]

Step-by-step explanation:

this is how shifting works

Answer: No. The intervals defined by the margin or error overlap

Step-by-step explanation:

If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap

Answer:

This would shift the equation to the right by 5

Step-by-step explanation:

Answer:

It's very simple: divide the 40 m² area by area of 1 one sphere

[tex] \frac{40 \: m {}^{2} }{3.41 \times 15m {}^{2} } = 565[/tex]

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

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Visual representation is preferable for working for its attractive charts, graphs etc.

The advantages of the numerical values :

1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.

2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.

The advantages of the visual representations

1. Visual representation gives us an easier way of understanding.

2. Visual representation makes something more interesting to read or solve.

3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.

Which is preferable for working and why?

Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.

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Answer:

I myself prefer visual representation because to me it helps to see things visually and  for understanding and working with charts and graphs.

Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.

Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.

Step-by-step explanation:

Answer: A 100

I did the text the other day

A sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To produce the widest confidence interval, we need to choose the smallest sample size.

This is because as the sample size decreases, the margin of error increases, leading to a wider confidence interval.

Among the given options, the smallest sample size is 50.

Therefore, selecting a sample size of 50 will produce the widest 95% confidence interval when estimating the population parameter.

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Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

Answer:

y=3 (1/3)x

Step-by-step explanation:

On a graph, the closest graph you pictured is this answer

Answer:

y =  [tex]3 (\frac{1}{3} )^{x}[/tex]

Step-by-step explanation:

Step 1:

Check the y-intercept; in the graph, when x = 0, y = 3. Which equation satisfies this?

y = [tex]\frac{1}{3}[/tex] [tex](3)^{x}[/tex] = [tex]\frac{1}{3}[/tex] [tex](3)^{0}[/tex] =        [tex]\frac{1}{3}[/tex]      ❌

y = [tex]3 (\frac{1}{3} )^{x}[/tex]  = [tex]3 (\frac{1}{3} )^{0}[/tex]  = 3          ✅

y =  [tex](\frac{1}{2} )^{x}[/tex] + 2  = [tex](\frac{1}{2} )^{0}[/tex] + 2 = 3  ✅

So the last two equations are possible.

Step 2:

Now check the y-value on the graph for any other x-value, whose corresponding y-value can be easily estimated from the graph.

For example, when x = 2, the y-value is between 0 and 1.

• 2nd equation: y = [tex]3 (\frac{1}{3} )^{x}[/tex]  =  [tex]3 (\frac{1}{3} )^{2}[/tex] = 0.333               ✅

• 3rd equation:  y =  [tex](\frac{1}{2} )^{x}[/tex] + 2 = y =  [tex](\frac{1}{2} )^{2}[/tex] + 2 = 2. 25  ❌

∴ 2nd equation (y = [tex]3 (\frac{1}{3} )^{x}[/tex] ) is the one being represented by the graph.

When we say to solve for something

 ⇒ essentially move everything to one side

    ⇒ and that 'something' to the other

In this case:

 ⇒ we need to move the y-variable by itself to one side

   ⇒ and everything else to the other

Let's apply that principle:

 [tex]12y+d=-19y+t\\12y+19y=t-d\\31y=t-d\\y=\frac{t-d}{31}[/tex]

Answer: (t-d) / 31

Hope that helps!

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Answer:

this right here

Step-by-step explanation:

31y=t-d

The system of equation can be used to find the root of the equation is y= x³-4x² +2x and y=0 , y=4x² and y= x³+2x

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y=-4x²

y= x³+2x

By equating the above equation we have

-4x²=x³+2x

Now, y= x³-4x² +2x

and y=0

By equating the above equation we have

x³-4x² +2x=0

y=4x²

y= -x³-2x

By equating the above equation we have

4x²=-x³-2x

Lastly,

y=4x²

y= x³+2x

By equating the above equation we have

4x²=x³+2x

Hence, the equation can be used is y= x³-4x² +2x and y=0 ,

y=4x² and y= x³+2x

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[tex]4(a + 3) = - 32 \\ 4a + 12 = - 32 \\ 4a = - 32 - 12 \\ 4a = - 44 \\ a = - 11[/tex]

Hope it helps

Please give brainliest

Step-by-step explanation:

4(a+3)=-32

4(a+3)/4=-32/4

(a+3)=-8

a+3-3=-8-3

a=-11

Answer:

8.31752 to correct 3 decimal places =

Step-by-step explanation:

8.318

brainiest pls it helps