Plot A(−3,−1), B(−3,2), C(6,9), and D(3,9) in a coordinate plane. Are AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ congruent? Yes No

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).

Plot these points on a coordinate plane as shown in the below graph.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using this formula, we get

[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]

[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]

[tex]AB=3[/tex]

[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]

[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]

[tex]CD=3[/tex]

Since AB=CD, therefore the required answer is yes, AB and CD are congruent.

Plot A(3,1), B(3,2), C(6,9), And D(3,9) In A Coordinate Plane. Are AB And CD Congruent? Yes No

Related Questions

Foreshadowing is a storytelling device that...
A)Gives hints to reader about a future event.
B)Provides details about a past event.
C)Tells readers that something bad always happens.
D)Creates confusion for the reader.

Answers

Answer:A)Gives hints to reader about a future event.

Step-by-step explanation:

Answer:

A) Gives hints to reader about a future event.

Step-by-step explanation:

Foreshadowing is one of the storytelling device that gives hints to readers about the future events.

Hope this helps ;) ❤❤❤

What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction? Negative StartFraction 6 over 7 EndFraction Negative StartFraction 6 over 49 EndFraction StartFraction 6 over 49 EndFraction StartFraction 6 over 7 EndFraction please help me.... 10 minutes ASAP!!

Answers

Answer:

6/49 or

StartFraction 6 over 49 EndFraction

Step-by-step explanation:

There are two negative fractions, the product of which results in positive.

(-2/7)* (-3/7) = 6/49

Answer:

6/7

Step-by-step explanation:

is correct

82,300,000 in scientific notation

Answers

Answer:

82300000 in scientific notation = 8.23 × 107.

Step-by-step explanation:

Not sure if that's right.

Answer:

8.23×10^7

Step-by-step explanation:

to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10

GUYS I NEED HELP I have no idea what to do and I can’t ask the teacher for help because it’s night already-

Answers

Answer:

x=6

Step-by-step explanation:

127-83=9x-10

44=9x-10

+10.0 +10.0

54=9x

divide by 9 on both sides

x = 6

write and equation that represents a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of g(x)=|x|​

Answers

Answer:

g(x) = -3|x|.

Step-by-step explanation:

Multiplying by 3 stretches the graph vertically by a factor 3 and the negative reflects in the x-axis.

The equation that represents a vertical stretch by a factor of 3 and reflection in x-axis of the graph of function g ( x ) = | x | is given by

f ( x ) = -3 | x |

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs),

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be g ( x ) = | x |

Now , let the transformed function be f ( x )

The value of the function f ( x ) is calculated by

Step 1 :

Vertical stretch by a factor of 3

The Vertical stretch by a factor is done by

k: y = k × f(x)

So , multiplying the parent function by 3 , we get

f ( x ) = 3 | x |

Step 2 :

Reflection in the x-axis ,

The value of f ( x ) is multiplied by -1

So ,

f ( x ) = -3 | x |

Therefore , the transformed function f ( x ) = -3 | x |

Hence , The equation that represents a vertical stretch by a factor of 3 and reflection in x-axis of the graph of function g ( x ) = | x | is given by

f ( x ) = -3 | x |

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On Monday, I had a normal temperature of 98.6° F.
When I woke up on Tuesday morning, I had a fever of
103.4°F. How much higher was it on Tuesday
morning?

Answers

Answer:

it was 4.8 degrees higher

Step-by-step explanation:

all u have to do is subtract 103.4 from 98.6

Answer:

Wouldn't it be 4.8° F ?

Step-by-step explanation:

Since you can just subtract the two numbers and you get that.

103.4°F - 98.6°F = 4.8°F

Which table shows a proportional relationship between x and y? A. x y 2 4 3 6 4 9 B. x y 3 4 9 16 15 20 C. x y 4 12 5 15 6 18 D. x y 1 4 2 8 3 15

Answers

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x number of games Write a variable expression for the number of games Mr. Yao bought

Answers

This question is not correctly written

Complete Question

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x number of games Write a variable expression for cost of the number of games Mr. Yao bought

Answer:

Variable expression for the cost of the number of games that Mr Yao bought =

$20x

Where x = number of games that he bought.

Step-by-step explanation:

A variable expression can be defined as a mathematical expression where there is at least one (or more) unknown variable(s)that we have to look or solve for.

The unknown variable is always represented by letters of the alphabet, a, b, x, y e.t.c.

A variable expression can also be called an algebraic expression.

From the above question, we are told that:

Cost of a gaming console = $299.99

If you buy a game with the console = Additional $20.00

My Yao bought = x number of games

Variable expression for the cost of the x number of games that Mr Yao bought

$20 × x

= $20x

Where x = number of games that Mr Yao bought.

The discount on a new refrigerator was $250. This was a discount of 18 %
Step 2 of 3: What was the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Answers

Answer:

                x = 1388.89

Step-by-step explanation:

x    - the sale price of new refrigerator

18%x = 0.18x   - the discount

0.18x = 250

x = 250÷0.18 = 1388.8888...

x = 1388.89

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent. Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent. Explain how a calculation for change in percentage (increase or decrease) is different from a calculation that involves multiplying by percentages. Why is the wording of percentage problems so important? Give examples to illustrate your point.

Answers

Answer:

Step-by-step explanation:

Given the expressions :

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.

Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.

Let the original price = x

Expression 1 : The list price of the item is 80 percent of the original price

List price = 80% of x

List price = 0.8x

Expression 2: The price of the item has been reduced by 80 percent

Price = x - 80% of x

Price = x - 0.8x

Price = 0.2x

Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.

Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.

Expand and combine like terms.
(8 – n^7)(8 +n^7)

Answers

Answer:

Step-by-step explanation:

(a - b)(a + b) = a² - b²

(8 - n⁷)(8 + n⁷) = 8² - (n⁷)² = 64 - n¹⁴      {(aˣ)ⁿ = aˣ*ⁿ }

Or

Use FOIL method

(8 - n⁷)(8 + n⁷) = 8*8 + 8*n⁷ + (-n⁷)*8 + (-n⁷)*n⁷

                       = 64 + 8n⁷ - 8n⁷ - n⁷⁺⁷

                       = 64 - n¹⁴

Part B

plot point C(2,7). If M is the midpoint of CD what are the coordinates of D

Answers

Answer:

The midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].

Step-by-step explanation:

Consider a line CD.

The point C is (2, 7).

Assume that the point D is, (a, b).

The formula to compute the midpoint is:

[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]

Compute the midpoint of CD as follows:

[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]

        [tex]=(\frac{2+a}{2},\ \frac{7+b}{2})[/tex]

Thus, the midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].

Does anyone know how to solve this? It’s really starting to stress me out.

PS: You just can solve the lim(x->2) instead of lim(u->0) if u want

Answers

Answer:

π − 12

Step-by-step explanation:

lim(x→2) (sin(πx) + 8 − x³) / (x − 2)

If we substitute x = u + 2:

lim(u→0) (sin(π(u + 2)) + 8 − (u + 2)³) / ((u + 2) − 2)

lim(u→0) (sin(πu + 2π) + 8 − (u + 2)³) / u

Distribute the cube:

lim(u→0) (sin(πu + 2π) + 8 − (u³ + 6u² + 12u + 8)) / u

lim(u→0) (sin(πu + 2π) + 8 − u³ − 6u² − 12u − 8) / u

lim(u→0) (sin(πu + 2π) − u³ − 6u² − 12u) / u

Using angle sum formula:

lim(u→0) (sin(πu) cos(2π) + sin(2π) cos(πu) − u³ − 6u² − 12u) / u

lim(u→0) (sin(πu) − u³ − 6u² − 12u) / u

Divide:

lim(u→0) [ (sin(πu) / u) − u² − 6u − 12 ]

lim(u→0) (sin(πu) / u) + lim(u→0) (-u² − 6u − 12)

lim(u→0) (sin(πu) / u) − 12

Multiply and divide by π.

lim(u→0) (π sin(πu) / (πu)) − 12

π lim(u→0) (sin(πu) / (πu)) − 12

Use special identity, lim(x→0) ((sin x) / x ) = 1.

π (1) − 12

π − 12

A company placed $500,000 in three different investment plans.

The company placed some money into short-term notes paying 5.5% per year. They placed three times as much into government bonds paying 5% per year. They placed the rest in utility bonds paying 4.5% per year.

The income for one year was $25,000. How much more money did the company place in government bonds than in utility bonds?

A. $100,000
B. $200,000
C. $300,000
D. $400,000

Answers

Answer:

B. $200,000

Step-by-step explanation:

Let x be the amount placed at 5.5%

3x is the amount placed at 5%

This leaves the rest for the 4.5 %   500000- x - 3x = 500000-4x

Assuming simple interest

I = PRT where I is interest, P is principle, rate is rate and t  is time

Interest for the 5.5% for 1 year is

I = x * .055 * 1 = .055x

Interest for the 5.% for 1 year is

I = 3x * .05 * 1 = .15x

Interest for the 4.5% for 1 year is

I = 500000-4x * .045 * 1 = 22500 - 0.18 x

Add the interest together to get the income for 1 year

.055x+  .15x+22500 - 0.18 x=25,000

Combine like terms

0.025x+22500=25000

Subtract 22500

.025x =2500

Divide by .025

x =100000  

short term notes is 100000

3*x = 300000 = government bonds

The rest is utility bonds 500000- 100000-300000 = 100000

We want how much more in government bond than utility bond

300000 -100000 = 200000

Answer:

200000

Step-by-step explanation:

the short term =x

government bonds =3x

utility bonds: 500000-4x

0.055x+3(0.05(x)+0.045(500000-4x)=25000

0.055x+0.15x+22500-0.18x=25000-22500

0.055x+0.15x+22500-0.18x-22500=2500

0.025x=2500

x=2500/0.25

x=100000

government bonds=3x=3(100000)=300000

utility bond=(500000-400000)=100000

government bonds than in utility bonds:

300000-100000=200000

If Cody makes $10 an hour at his after school job, how many hours will it take him to earn $150?

Answers

Answer:

It will take him 15 hours, Good luck!!

Step-by-step explanation:

cody will have to work for 15 hours to earn $150

the lunch lady has 6 pounds of lasagna. if she makes 1/2-pounds servings using this lasagna, how many servings can she make?

Answers

Answer:

[tex]\boxed{12}[/tex]

Step-by-step explanation:

[tex]6/\frac{1}{2} =6*2=12[/tex]

Point B is between A and C on AC use the given information to write an equation in terms of X . Solve the equation. Then find AB And BC

Answers

Answer:

26

Step-by-step explanation:

4.Why might there be a break in the vertical axis on a line graph?

A. Numbers in that range have been left out.
B. Those numbers aren't important.
C. There was no data available for those numbers.
D. The creator of the graph made a mistake. ​

Answers

Answer:

there was no data available for those numbers

Step-by-step explanation:

if you want to graph at intervals of (for example) 15, but your numbers are ranging from 115 - 200, you don't want to a huge blank space from 0 - 115 on the y-axis.

if you create a break at the bottom (and only the bottom) you can start at 100 and have intervals of 15 from there. this eliminates dead space on a graph.

x+2/x–2 –x–2/x+2 = 5/6

Answers

(x+2) - (x-2) = 5. (x-2) (x+2) 6. (x+2)² - (x² - 2)² = 5. (x+2) (x-2) 6. (x² + 4x+4) - (x² - 4x + 4) = 5. x² - 4 6. (x² + 4x + 4 - x² + 4x - 4) = 5. x² - 4 6. 8x = 5.

Answer:

(x-10)(5x+2)

Step-by-step explanation:

this is the answer of the question.you can clearly see in the pic of the solution

Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B: Write an expression to represent the amount Susan earns dog walking and babysitting

Answers

Answer:

the total she earns with "d" hours of dog walking and "b" hours of babysitting is given by:  8 d + 12 b

Step-by-step explanation:

If we use "d" to represent the number of hours that Susan walks the dog, and we define "b" as the number of hours she babysits, then the expression that represents the amount she earns by walking the dog is: $8 times d = 8 d

Similarly, the amount she earns by babysitting is $12 times b = 12 b

Then the total she earns with "d" hours of dog walking and "b" hours of babysitting is:  8 d + 12 b

The sum of three consecutive numbers is 96. What is the smallest of the three
numbers?

Answers

The answer is 31.
31+32+33=96.

If six is decreased by four times a number n, the result is 12. Find the solution

Answers

Answer:

n=-1.5

Step-by-step explanation:

6-4n=12

Subtract 6 from 12

-4n=12-6

Simplify

-4n=6

Divide each side by -4

-4n/-4=6/-4

Simplify

n=-1.5

8.5x-6.1=-7.1

round to the nearest tenth

Answers

8.5x-6.1=-7.1

40x-6.1=-7.1

40x=-7.1+6.1

40x=-1

solution= x= -0.025

Answer & Step-by-step explanation:

[tex]8.5x-6.1=-7.1[/tex]

Add 6.1 to both sides:

[tex]8.5x-6.1+6.1=-7.1+6.1\\\\8.5x=-1[/tex]

Isolate the variable x. Divide both sides by 8.5:

[tex]\frac{8.5x}{8.5} =\frac{-1}{8.5}\\\\ x=-\frac{1}{8.5}[/tex]

Round to the nearest tenth. Simplify division:

[tex]-\frac{1}{8.5}=-0.11764705...=-0.1[/tex]

So, x≈-0.1

:Done

Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom of this 350-foot tower, with your feet dangling just above the ground. You make the trip up the tower at a steady rate of 20 feet per second, stop at the top of the tower to hang for a few seconds, then suddenly drop in a free fall for 288 feet! The trip up the tower is a linear relationship. The height of the riders, h, is equal to the constant rate multiplied by the time, t, since they began the trip up. The free fall down the tower is a quadratic relationship. The distance from the top to the bottom of the free fall, d, is modeled by this equation, where t is the time since the free fall began and is the initial distance above the bottom of the free fall.

Answers

Answer:

  no

Step-by-step explanation:

The only question here seems to be ...

  Have you ever been on or seen a ride like this at a fair or amusement park?

__

I have not seen such a ride.

I have not seen such a ride.

What is an Amusement Park?

A large outdoor area with fairground rides, shows, refreshments, games of chance or skill, and other entertainments.

Determining:

The only question here seems to be ...

 Have you ever been on or seen a ride like this at a fair or amusement park?

I have not seen such a ride.

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What is the area of a square with the vertices (3, 3), (6, 6), (9,3), and (6,0)?

Answers

Answer:

           A = 18 square units

Step-by-step explanation:

taking A(3, 3), B(6, 6), C(9,3) and D(6,0)

we have:  [tex]y_A=y_C\quad and\quad x_B=x_D[/tex] so the AC and BD are diagonals, that means:

AB = BC = CD = DA = s

[tex]s=\sqrt{(6-3)^2+(6-3)^2}=\sqrt{3^2+3^2}=\sqrt{18}\\\\\\A=s^2=(\sqrt{18})^2=18[/tex]

Please help me to prove this..​

Answers

Step-by-step explanation:

1 / (sin 10°) − √3 / (cos 10°)

Multiply top and bottom of the first fraction by ½ cos 10°.

½ cos 10° / (½ cos 10° sin 10°) − √3 / (cos 10°)

Multiply top and bottom of the second fraction by ½ sin 10°.

½ cos 10° / (½ cos 10° sin 10°) − ½√3 sin 10° / (½ sin 10° cos 10°)

Combine fractions.

(½ cos 10° − ½√3 sin 10°) / (½ sin 10° cos 10°)

Change ½ to sin 30°, and change ½√3 to cos 30°.

(sin 30° cos 10° − cos 30° sin 10°) / (½ sin 10° cos 10°)

Use angle sum formula.

sin(30° − 10°) / (½ sin 10° cos 10°)

sin 20° / (½ sin 10° cos 10°)

Multiply top and bottom by 4.

4 sin 20° / (2 sin 10° cos 10°)

Use double angle formula.

4 sin 20° / sin 20°

4

We are given the equation 1 / sin(10°) - √3 / cos(10°) = 4, and want to prove that 1 / sin(10°) - √3 / cos(10°) equals 4.

Let's start by combining the expressions '1 / sin(10°)' and '√3 / cos(10°)' in the expression '1 / sin(10°) - √3 / cos(10°).'

1 / sin(10°) - √3 / cos(10°)

= cos(10°) - √3sin(10°) / sin(10°) [tex]*[/tex] cos(10°)

Now let's multiply the numerator and denominator by a common value. In this case it's most suitable to multiply both by 2. We will receive the expression 2(cos(10°) - √3sin(10°)) / 2(sin(10°) [tex]*[/tex] cos(10°)). We can further simplify this expression knowing that 2(sin(10°) [tex]*[/tex] cos(10°)) = 2sin(20°).

2(cos(10°) - √3sin(10°)) / 2sin(20°)

We can now bring the two on the bottom to the numerator, becoming 1 / 2.  Remember that the ' 1 / 2 ' will be distributed now. After the distribution we receive the expression 4( 1 / 2(cos(10°) - √3 / 2sin(10°)) /  2sin(20°). We can now use the trivial functions 1 / 2 = sin(30°), and √3 / 2 = cos(30°).

4(sin(30°)(cos(10°) - cos(30°)(sin(10°) ) / sin(20°))

= 4((sin(30 - 10°)) / sin(20°) = 4

8) За (x-y) - (х-у)​

Answers

Answer:

[tex]3a \times x - y - x - y \\ 3a \times x - x - y - y \\ 3a \times - 2y - \\ - 6ay[/tex]

Answer:

8,3

Step-by-step explanation:

simplify the expression -6(2+x)

Answers

Answer:

-12-6x it's answer this question

Answer: -12-6x

Explanation:

-6(2x+x)
= -12-6x

A price decreases from $986 to $828.24. What is the percent change?

Answers

Answer:

-16% change

Step-by-step explanation:

The formula for a percent decrease is [tex]\frac{original-new}{original}\cdot100[/tex]. The original value was 986, and the new value is 828.24, so we can substitute inside the equation.

[tex]\frac{986-828.24}{986} \cdot100\\\\\frac{157.76}{986} \cdot100\\\\0.16\cdot100\\\\16[/tex]

So the percent change is -16%.

Hope this helped!

Owen plots the numbers 4, –6, –8, and –3 on a horizontal number line. Which list shows the numbers in the order in which they would appear from left to right on the number line? –8, –6, –3, 4

Answers

Answer:-8, -6,-3, 4 is the correct answer

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

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What questions should you ask yourself before buying if you have chosen a sustainable, green lifestyle? A) A, C, D, E B) C, D, E, F C) A, C, D, E, F D) All are appropriate questions to ask. what reason do people choose to live in a given area? Natalie and Curtis have been experiencing great demand for their cookies and muffins. As a result, they are now thinking about buying a commercial oven. They know which oven they want and that it will cost $17,000. The company already has $5,000 set aside for the purchase and will need to borrow the rest. Natalie and Curtis met with a bank manager to discuss their options. She is willing to lend Cookie & Coffee Creations Inc. $12,000 on November 1, 2017, for a period of 3 years at a 5% interest rate. The terms provide for fixed principal payments of $2,000, on May 1 and November 1 of each year plus 6 months of interest. Determine the current portion of the note payable and the long-term portion of the note payable at October 31, 2018. Help!!!which of the following best describes the algebraic expression 10x+2 The Article states:A couple ofdecadesago, high schools were filled with students who wanted to hit the road.In 1996, over 85 percent of high school seniors had a license.Try asking drivers over age 40 whentheygot their license.They're likely to say it was soon after they reached the legal age.Back then, a license was an all-important express ticket to adulthood!Why did the author include this passage?Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedATo say that more teens today have their driver's license than at any time in the pastBTo point out some figures showing that teenagers today are usually very safe driversCTo show that most teens in 1996 already had their driver's license before leaving high schoolDTo explain that it is now much more difficult to get a driver's license than it was in 1996Submit How does a combination of character, plot, and setting in this excerpt fromBeowulf help you understand the Anglo-Saxon worldview and culture? Useyour understanding of story elements to analyze the passage and describe what"the literary elements suggest about the underlying beliefs, values, and concernsof the culture Beowulf originated from. Construct a 150-word response usingMLA format. A person stands on a scale in an elevator. His apparent weight will be the greatest when the elevator(a) is standing still.(b) is moving upward at constant velocity.(c) is accelerating upward.(d) is moving downward at constant velocity.(e) is accelerating downward. Simplify by combining like terms. Type the terms in alphabetical order. -5y+9x+9y+5x= The sum of Micahs age and Arias age is 29. Aria is 5 years older than twice Micahs age. Let x represent Micahs age. The equation that can be used to find Micahs age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29 (d) why does the h3o concentration have more influence on the precipitation of the salt of a weak acid, such as cac2o4(s), than on the precipitation of the salt of a strong acid, such as agcl(s) or caso4(s)?