If segment AB shown below is rotated by 90° clockwise about the origin to produce image A'B' , then which of the following statements is true?(1) AB and A' B' are parallel and the same length (2) AB and A' B' are the same length and the image of B' has coordinates of (1,-6) (3) AB and A' B' are perpendicular and the image of A' has coordinates of (-4,-2) (4) AB and A'B' are different lengths and perpendicular

Answer:B.The constant of proportionality is 3. In the table the constant of proportionality is represented by the y-value when the x-value is 1. On a graph, the constant of proportionality represents the steepness of the line.

This is the answer because all of the Y's can be divided by X and equal three.

3 divided by 1 is 3, 15 divided by 5 is 3, 24 divided by 8 is 3, and 27 divided by 9 is 3.

This means that there is a constant rate, which is the proportionality,3.  This is also represented by our first X and Y value. X is 1 and Y is 3, which means that the word length increases by 3.

I hope this helped & Good Luck <3!!!!

Correct answer is B.

So this table represents a set of values related by a constant of proportionality. This constant is just the value of the slope created when the values from the "x" and "y" axis are plotted into a two-dimensional graph.

Notation: (x, y)

OP 1: (1, 3)

OP 2: (5, 15)

Slope formula: \(m=\frac{y_{2} -y_{1}}{x_{2} -x_{1} }\)

Substituting in the formula and calculating:

\(m=\frac{(15) -(3)}{(5) -(1)}\\ \\m=\frac{12}{4} \\ \\m=3\)

This value for the slope, or contant of proportionality, is enough to determine the correct answer. Correct answer is answer B.

This constant represent the relation between the word length (x) and the score (y) is 3. Therefore, each time a word length increases one time, the score increases 3 times as much.

Chech the attached image.

-------------------------------------------------------------------------------------------------------

https://brainly.com/question/30433648

https://brainly.com/question/30423275

https://brainly.com/question/30029053

https://brainly.com/question/29900530

https://brainly.com/question/29859214

https://brainly.com/question/29779416

The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

Learn more about the perfect square here:

https://brainly.com/question/385286

#SPJ1

The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Sis : you : bro

10 : 9 : ?

? ? : 27 : 29

We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:

30 : 27 :?

? : 27 : 29

Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is

So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.

The ratio of sis : you : bro is now -

The ratio of sis : you : bro is now - 30: 27 : 29

To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.

So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.

We get :

We get :60 : 54 : 58

(30 x 2) : (27 x2) : (29 x2)

Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.

30: 27 : 29

(30 x 3) : ( 27 x 3) : (29 x 3)

We get:

We get:90 : 81 : 87

Right now, you're above the age of 70.

Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.

Answer : 54 years

Hope this helps!

To find the money at start let us use an equation

Since he puts $8 per week

Then his rate is 8

Since he has a total of $52 after some weeks

We must find the nearest number to 52 in table 8

Since 6 * 8 = 48 the nearest number to 52 in table 8

Then he did that for 6 weeks

52 = 8(6) + x

Let us find x

52 = 48 + x

Subtract 48 from both sides

52 - 48 = 48 - 48 + x

4 = x

He started with $4

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Step-by-step explanation:

51x + 23y = 116 ……….. (i)

23x + 51y = 106 ………… (ii)

Subtracting (ii) from (i)

28x – 28y = 10

28(x – y) = 10

⇒ (x – y) = 10/28 = 5/14

The solution of the expression x- y is 5/14.

Given Equation:

Equation 1: 51x + 23y = 116

Equation 2: 23x + 51y = 106

Now, multiply 23 in equation 1 and 51 in equation 2 gives

Equation 3: 1173x + 529y = 2,668

Equation 4: 1173x + 2601 y = 5406

Solving the Equation 1 and (3) gives

2601y - 529y = 5406 - 2668

2072y= 2738

y = 37/28.

Substituting the value of y= 37/28 in Equation 1 gives

51x + 23(37/28)= 116

51 x= 2397/28

x= 47/28

So, the value of x-y

= 47/28 - 37/28

= 10/28

= 5/14

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ4

Answer:

6/18 bags

Step-by-step explanation:

Answer:

8/12 OF A BAG IS THE RIGHT ANSWER

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

For more question on function visit:

https://brainly.com/question/11624077

#SPJ8

Note the complete question is

So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The equation for a straight line can be found if its slope and coordinate of the point it passes through is given. The equation for the given graph is c = 60w. The correct answer is option C.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The cost of food delivery is taken as c.

The number of weeks is w.

Since the graph given in the problem is a straight line, in order to find its equation its slope has to be found as follows,

From the graph, it is clear that at w = 2, c = 120.

Now, there are two points for the given straight line as (0, 0) and (2, 120).

Thus, the slope is given by (120 - 0) / (2 - 0) = 60

Then the equation for the straight line is,

(c - 0) / (w - 0) = 60

=> c = 60w

Hence, the equation of the given graph is c = 60w.

To know more about straight line click on,

brainly.com/question/21627259

#SPJ1

Step-by-step explanation:

okay so basically when you have a triangle, the side that is directly across from the angle you are looking for is the "opposite". here is an attachment.

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24

Answer: Obtuse, Right, Acute

Step-by-step explanation:

ABC: 5²+ 7² = 10²

25 + 49 = 100

c is greater so it is obtuse.

JKL: 12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

legs are equal to c so it is right.

PQR: 13² + 10² = 16²

169 + 100 + 256

269 = 256

c is less so it is acute.

Answer:

2,5,8,11,14,17,20

Description: Each time there was an addition of 3 onto each 'y'.

Step-by-step explanation:

+3 to the last one each time

2+3=5

5+3=8 etc

Answer:

It would be one fourth of the sum of a number and two is the same as 40--> (1/4)(x+2)=40

Step-by-step explanation:

x+2= 160

x=158

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Step-by-step explanation:

you didn't attached the photo

Answer:

800

Step-by-step explanation:

Multiples of 100 to 1000:

100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.

|___________________________|         |________|

                These dont match the given criteria.

800 is greater than 758 and less than 893.

Hope that helps

Answer:Sure, what do you need help with

Step by step explanation:

Sure, what do you need help with

Answer:

Explanation:

The formula for the nth term of an arithmetic sequence is

Where:

a_n is the term we want to find

a_1 is the first term of the sequence

d is the common distance between the terms.

In this sequence, we can see that d = 3. Because any term minus the previous is 3:

The first term is 1. Then:

Now, we can apply distributive property:

And we get the final expression for the arithmetic sequence formula for the nth term:

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

To know more about the symmetry along origin, here

https://brainly.com/question/1413522

#SPJ1

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Additional Perspectives. A pair of supplementary angles are two angles whose sum measures 180°. A 110° angle and a 70° angle are two examples of supplementary angles

1) 4x+ 6 = 130

        x= 31

2) 9x +36+45 =180

   x=11

1) 4x+ 6 = 130

        x= 31

2) 9x +36+45 =180

   x=11

To learn more about : Supplementary angles

Ref : https://brainly.com/question/12919120

#SPJ9

Since the angles are supplementary, their measures add to 180°. In other words: 2x+(2x–2)=180. Solving this equation gives the value of x. In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown." x is a variable in x + 2 = 7.

To know more about supplemental angle refer to:

https://brainly.com/question/12919120

#SPJ9

Answer:

P = 3/6.

Step-by-step explanation:

there are three odd numbers and three even numbers on a 6-sided die. the probability of rolling an odd number is 50%, which can be converted to 1/2, or 3/6. hope this helps

- Zombie

Answer:

3/6

Step-by-step explanation:

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer:

x = 6.8

Step-by-step explanation:

7x + 36 = 12x + 2 (alternate interior angles are congruent)

Collect like terms

7x - 12x = -36 + 2

-5x = -34

Divide both sides

-5x/-5 = -34/-5

x = 6.8

Answer:

Twenty four (24)

Step-by-step explanation:

8 ÷ one third

one third = 1/3

8 ÷ 1/3

= 8 × 3/1

= 24/1

= 24