select all possible answers below - see picture for question & model

Translate by directed line segment AD

Rotate 180 degrees around point C, translate by directed line segment CE
and reflect across segment EF.


Rotate 180 degrees around point E

Translate by directed line segment AE and reflect across AC

Translate by directed line segment CE and rotate 90 degrees counterclockwise
around point E

Reflect across segment AB, rotate clockwise by angle BFE using center F
then reflect across segment. EF

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Learn more on GCF here: https://brainly.com/question/219464

#SPJ1

Factor out

So

Now factor up

Option B

The other root is 1 and the value of the coefficient q is 12.

A quadratic equation is a second-order polynomial equation in a single variable x. ax²+bx+c=0. with a ≠ 0 .

Given:

x²-13x+q=0

when x= 12

So, 12²-13*12+q=0

144-156+q=0

-12+q=0

q=12

Now, x²-13x+12=0

x²-12x-x+12=0

x(x-12) - 1(x-12)=0

(x-1)(x-12)=0

x=1, 12

Learn more about quadratic equation here:

https://brainly.com/question/17177510

#SPJ1

Answer:

Hi! I think you are referring to the Pythagorean Theorem.

Essentially, given a right triangle, the sum of the squares of the shorter sides equals the square of the longer (slant) side or hypotenuse.

The formula is a squared + b squared = c squared

If the triangle has side lengths 3 and 4 (for the shorter sides), the longer side can be solved like this:

3 squared + 4 squared = x squared

(Let x =  the longer side)

3 squared = 9

4 squared = 16

9+16 = x squared

25 = x squared

x =  5

So there you go, that's the Pythagorean theorem.

Let me know if this helped!

Answer:

a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Step-by-step explanation:

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

Answer:

The graph has been moved 7 units to the left and 8 units down.

Step-by-step explanation:

When numbers are added directly to the "x" value, the graph shifts to the left. If negative numbers are added directly to the "x" value, the grap shifts to the right. Therefore, if there is a +7 directly altering the "x" value, the function shifts 7 units to the left.

When a number is added to the overall function, it shifts upwards. If this number is negative, the entire function shifts downwards. Therefore, if there is a -8 outside altering the function, then it has been shifted 8 units down.

Answer:

Initial balance$1000

interest rate 8%

Term 20yrs

Step-by-step explanation:

The final balance is $4,926.8.The total compound interest is $3,926.8.

The value of r is 2 %.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given:

Principal(P)= $4540

Rate = ?

Time=10  years

CI=$1328.54

We have to find the value of r.

According to given question we have

By the use of compound interest we have

[tex]CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\[/tex]

After simplifying we get,

r=2 %

Therefore, the value of r is 2 %.

Learn more details about simple & compound interest here:

https://brainly.com/question/22621039

#SPJ1

If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.

Two of the components of GDP are government spending and private investment.

If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.

GDP would therefore increase.

This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.

Find out more on the problems with GDP at https://brainly.com/question/13701371.

#SPJ1

Answer: Maybe when you Grew from a Baby to a toddler because that would be you growing over time

Step-by-step explanation:

I Hope This Helps!

Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

Answer:

Step-by-step explanation:

Probability that the first candy selected is taffy and the second candy is caramel is 0.144.

The data missing in the question is

A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.

Probability can be defined as the study of likelihood of an event to happen.

It has a range of 0 to 1.

Probability is the ratio of the expected outcomes / total coutcome.

Total outcomes = 18

The probability that the first candy is taffy is 11/18

Now as there is no replacement , the total outcomes can be 17

The probability that the second candy is caramel is 4/17

Probability that the first candy selected is taffy and the second candy is caramel =  (11/18)(4/17)

= 0.144

Therefore the Probability is 0.144

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer: The original price of the fridge is $585

Explanation:

Given she discounts all prices of the fridges by 20%

This 20% is the reduced price of the original cost.

Solve for per unit:

20% ⇒ $117

1% ⇒ $(117/20) = $5.85

Recall, the original price is always of 100%

100% ⇒ $5.85 × 100 = $585

Answer:

$585

Step-by-step explanation:

If there is a discount of 20% and the price is reduced by $117, then that means :

If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x). Option A is correct.

A connection between independent variables and the dependent variable.is defined by the function.

The complete question is

"If (1,0) is an ordered pair of the function f(x), which of the following is an ordered pair of the inverse of f(x)?

A. (0,1)

B. (0,0)

C. (1,0)

D. (1,1)"

Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.

The relation between them is shown as y if dependent and x is the independent variable.

If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x).

F(x)∈ (1, 0)

F⁻¹(x)∈(0, 1)

Hence, option A is correct.

To learn more about the function refer;

https://brainly.com/question/12431044

#SPJ1

You have to maintain a minimum level of financial responsibility when transporting any type of hazardous material in intrastate commerce Option A is correct.

Interstate commerce refers to any transaction or movement of goods, services, or money over state lines.

You operate a motor carrier for hire. When shipping any quantity of hazardous material in intrastate trade, A mandates that you maintain a minimum degree of financial accountability.

Hence option A is correct.

To learn more about the Interstate commerce refer;

https://brainly.com/question/7036239

#SPJ1

Answer: A is correct

Step-by-step explanation:

The values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

From the question, we are to determine the solution of the given system of equations

The given system of equations are

2 x + 3 y = 6 -------  (1)

x + 3 y = 12   ------- (2)

From equation (2)

x + 3y = 12

Then, we can write that

x = 12 - 3y ---------   (3)

Substitute this into equation (1)

2x + 3y = 6

2(12 -3y) + 3y = 6

24 - 6y + 3y = 6

24 -3y = 6

24 - 6 = 3y

18 = 3y

∴ y = 18/3

y = 6

Substitute the value of y into equation (3) to get the value of x

x = 12 - 3y

x = 12 -3(6)

x = 12 - 18

x = -6

∴ x= -6 and y = 6 ; Thus, (-6, 6) is a solution

Hence, the values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

Learn more on Simultaneous linear equations here: https://brainly.com/question/16863577

#SPJ1

Using translation concepts, the function that represents g(x) is given by:

[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is given by:

[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]

Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:

[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

a) 7 b) 24 c) 8.5 d) 11.4 (i think)

Step-by-step explanation:

The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters

The given parameters are:

Calculate the z-scores at x = 158 and x = 163 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{158 - 161}{6} = -0.5[/tex]

[tex]z = \frac{163 - 161}{6} = 0.33[/tex]

The probability is then represented as:

P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)

Using the z table, we have:

P(158 ≤ x ≤ 161) =  0.69011

Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011

The probability is represented as:

P(X ≥ x) = 1%

Express as decimal

P(X ≥ x) = 0.10

The z-score at p = 0.10 is:

z = 1.282

Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]

Make x the subject

[tex]x = 1.282\sigma + \mu[/tex]

Substitute values for standard deviation and mean

x = 1.282 * 6 + 161

Evaluate

x = 168.692

Approximate

x = 169

Hence, the value of x is 169 centimeters

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

This function shows a horizontal translation of the parent function to the left and 2 units up.

The parent function of a square root function is expressed as:

f(x) = √x

According to the question, we are to plot the expression f(x) = √x+ 3 - 2

This function shows a horizontal translation of the parent function to the left and 2 units up. The required graph will be in the 2nd quadrant of the graph as shown;

Learn more on square root graph here: https://brainly.com/question/1777875

#SPJ1

Answer:

It should be the first one.

The probability of drawing an ace will be 8 / 16575.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

The attached figure represents the sketch of the graph

The complete question requires that we sketch the graph that follows the given parameters

The given parameters are:

To start with, we plot the points on an empty coordinate plane.

Next, we connect the points using a rough curve

Lastly, the points are labelled

See attachment for the sketch of the graph

Read more about graphs at:

https://brainly.com/question/4025726

#SPJ1

Answer: The correct answer is (-1, 2).

Step-by-step explanation: Find how many units the original F point is away from the center. It is 2 units away in terms of x, and 4 units away in terms of y. The x value has to be negative since the initial x point was already negative. -2/2 = -1. Hence, the x value is -1.  4/2 = 2. Hence, the y value is 2.

By weighted average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.

Physically speaking, concentration is equal to the amount of solute divided by the volume of solution. We have two solutions with same solute and different concentration and can find the right proportion between the 24 % solution and the 40 % solution by concept of weighted average:

x · 24 + (1 - x) · 40 = 28

40 - 16 · x = 28

16 · x = 40 - 28

16 · x = 12

x = 3/4

By weighted average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.

To learn more on weighted average: https://brainly.com/question/18554478

#SPJ1

Answer:

Step-by-step explanation:

D∩L={f}

D∪L={a,f,g,j,k}

Answer:

  (1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

__

The graphing calculator in the attachment shows the vertex is ...

  (0.25, 5.875) = (1/4, 5 7/8)

Answer:

help me to find Xian pleaseee:( i miss him so much:(

sorry for answering Non sense po i hope u understand me ty po!

Answer:

2(7x-1)

Step-by-step explanation:

14 & 2 gcf 2 factor and wal lah!

Answer:

The force of gravity experienced by the shuttle would be 1.6675×10^N

The expression, the company can use to predict the value of the car is v =32000 (0.8)^t

The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.

Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.

The rate of interest r in percentage = 100 - 20 = 80%

If the value of a brand new car is  P =$32,000.00.

The value of car will be

value =  P x r^t

v = $32,000 x(0.8)^t

Thus, this is the expression insurance company uses to find the value of car.

Learn more about insurance company.

https://brainly.com/question/16996203

#SPJ1