The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. What are the coordinates of the image of the trapezoid?

Answers

Answer 1

Answer:

Suppose that we have a given point (x, y)

If we translate this point N units to the right, then the new coordinates of the point are:

(x + N, y)

Ok, now if we know that the vertices of the trapezoid are:

(1, 2), (3, 1), (3, 5), (1, 4)

And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.

Then the new vertices of the figure will be:

(1 + 4, 2) = (5, 2)

(3 + 4, 1) = (7, 1)

(3 + 4, 5) = (7, 5)

(1 + 4, 4) = (5, 4)

Then the coordinates of the image of the trapezoid (of the new vertices) are:

(5, 2),  (7, 1), (7, 5),  (5, 4)


Related Questions

find f(1)' If u know that
g(1)=1 , g'(1)= -1
h(1)= -2 , h'(1) 3

Answers

Step-by-step explanation:

[tex]f(x) = g(x)h(x)[/tex]

Taking the derivative of f(x), we get

[tex]f'(x) = g'(x)h(x) + g(x)h'(x)[/tex]

Then [tex]f'(1)[/tex] becomes

[tex]f'(1) = (-1)(-2) + (1)(3) = 5[/tex]

đường cầu về tiền có hướng nghiêng dốc xuống thể hiện?

Answers

Ý bạn là sao? Bạn có thể cung cấp thêm thông tin hay hình ảnh không?

slope of (0,45) (6,33) (15,15)

Answers

Answer:

The slope is -2

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,45)[/tex]

[tex](x_2,y_2) = (6,33)[/tex]

[tex](x_2,y_3) = (15,15)[/tex]

Required

The slope (m)

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{33 -45}{6 - 0}[/tex]

[tex]m = \frac{-12}{6}[/tex]

[tex]m =-2[/tex]

The average age of the 12 people in a classroom is 10. After Ms. Xu walks into the room,
the average age of everyone in the classroom increases to 12. How old is Ms. Xu?

Answers

Answer:

24

Step-by-step explanation:

First: 12*10=120

Then: 12*12=144

=> Ms. Xu's old: 144-120=24

112x/5= 43.60 solve for x

Answers

Answer:

x=109/56

dn did djs. hd hd hd hd hd hd

can anyone pls answer this! it's really urgent! ​

Answers

Answer:

The answer is C

Step-by-step explanation:

You need to find a common denominator and in this case its 20. SO you change 3/4ths to 15/20 and 4/5ths to 16/20ths and 19/20 stays the same. Then you cancel out the 20 because its all the same number (I think) and you have your answer.

What is the area of the figure below

Answers

Answer:

the answer for that is 61.

Step-by-step explanation:

Solve for k:

6=7k+1

K=

Answers

Answer:

5/7

Step-by-step explanation:

6=7k+1

-1        -1

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

5= 7k

Divide both sides by 7k

k= 5/7

[tex]\huge\color{purple}\boxed{\colorbox{black}{k=0.714}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]➺ \: 6 = 7k + 1[/tex]

[tex]➺ \: 7k = 6 - 1[/tex]

[tex]➺ \: 7k = 5[/tex]

[tex]➺ \: k = \frac{5}{7}\\ [/tex]

[tex]➺ \: k = 0.714[/tex]

Therefore, the value of [tex]k[/tex] is [tex]0.714[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 6 = 7k + 1[/tex]

[tex]➺ \: 6 = 7 \times 0.714 + 1[/tex]

[tex]➺ \: 6 = 5 + 1[/tex]

[tex]➺ \: 6 = 6[/tex]

➺ L. H S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

what is the highest common multiple of 120 and 150

Answers

Answer:

30 I suppose

Step-by-step explanation:

The Hernandez family is evenly splitting 777 liters of gasoline between their 444 cars.
How many liters of gasoline should each car get?

Answers

Answer:

1.75 liters per car

Step-by-step explanation:

777liters /444 cars=1.75 liters per car

The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0025. What is the probability that the diameter of a randomly selected pipe will exceed 0.9 inch?

Answers

Answer:

0.02275

Step-by-step explanation:

Standard deviation is the square root of variance

Standard deviation= Square(0.0025)= 0.05

Because of the normally distributed, the z- score for 0.9 inches is:

(0.9-0.8)/0.05= 2

-> P(x<= 0.9)= P(2) = 0.97725

-> P (x>= 0.9)= 1-0.97725 = 0.02275

answer only one question​ No 1 only​

Answers

-10369

too lazy but that's the exact value

Answer:

Step-by-step explanation:

(-2)³ *(-4)² * 3⁴ = (-8) * 16 * 81

                      = -10368

I am interested in determining how long students take on average, to finish the first exam in my class. I specifically am interested in looking at students who take the class during the summer semester. I randomly pick 50 students from previous summer semesters and note how long the took on the first exam (TIME), which class they took with me - Stator Stat (CLASS), and whether they took the class online or in person (FORMAT).
Identity the following viables as either quantitative or qualitative
Class
Time

Answers

Answer:

jwruaijoii9auhyahd9i3u

w daF

wf

w

a

s

w sfjweiaeadfawjasawwg

Step-by-step explanation:

Quantitative data is supported by the empirical value in the form of counts or numbers, where each data set is attached with a particular numerical value.  Qualitative data describes and can be expressed as the number of the subject.

For the class:

It is qualitative because the qualitative data is used to describes the qualifies or characteristics.In the given scenario the variable class differentiates students based on the information when the book stat I or Stat II.

For the Time:

It is quantitative because the quantitative data is used to includes measurable quantity numbers.These numbers are used for the time of the quantitative variable.

Learn more:

brainly.com/question/555216

Round 25,471 to the nearest ten thousand.

Answers

I think the answer is 30,000

What is the slope of the line represented by this equation?

-3x + 8y = 12

A -8/3
B -3/8
C 3/8
D 8/3

Answers

Answer:

C. 3/8

Step-by-step explanation:

[tex] - 3x + 8y = 12 \\ \therefore 8y =3x + 12 \\ \therefore \: y = \frac{3}{8} x + 12 \\ equating \: it \: with \\ y = mx + b \: we \: find: \\ m = \frac{3}{8} \\ \therefore \: slope = \frac{3}{8} [/tex]

The answer above is wrong I took the test. It's in the picture below!

Please someone simplify this and please show the workout

Answers

Step-by-step explanation:

(a) 3pq / 4r² × 2rs / 6q²......first start by expanding the expression

It will be ;

3 × p × q / 4 × r × r X 2 × r × s / 6 × q × q

so now ,cancel out like terms. The q on top can cancel out with the q down same thing happens to r

so you'll get something like ;

3 × q / 4 × r X 2 × s / 6 × q ......so now divide , like 3 into 6 and 2 into 4 ,then you'll get something like;

qs / 4q

that's the answer

(b)15 ab² / 8 c²d ÷ 3ab / 4cd.......start by changing the sign from ÷ to × and then 3ab and 4cd will switch places

15ab² / 8c² d × 4cd / 3ab.....expand the expression

15 ×a×b×b / 8×c×c×d X 4×c×d / 3×a×b

then cancel like terms and you'll get;

15b / 8c X 4/3.....then divide 3 into 15 and 4 into 8

5b / 2c

hope this helps

Erin has 5 cans of juice and drinks 1/3 of a can daily. in how many days will she empty all the cans she has? I think it's 1/15 I'm not sure though. ​

Answers

The correct answer to your question is 15 days because if she drinks 1/3 of a can a day it will take 3 days to drink one can. Now multiple the 3 days for one can by the 5 cans and you get 15 days to finish all of the cans.

Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.

Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answers

Complete Question

Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answer:

a. 0.2231

b. 0.1266

c. 0.6591

d. 252 people

Step-by-step explanation:

We solve using the z score formula of

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 183 cm

σ is the population standard deviation = 10.5 cm

a.What is the probability that a Dutch male is shorter than 175 cm?

This is interpreted as when x < 175 cm

Hence:

z = 175 - 183/10.5

z = -0.7619

Probability value from Z-Table:

P(x<175) = 0.22306

Approximately ≈ 0.2231

b.What is the probability that a Dutch male is taller than 195 cm?

This is interpreted as when x > 195 cm

Hence:

z = 195 - 183/10.5

z = 1.14286

Probability value from Z-Table:

P(x<195) = 0.87345

P(x>195) = 1 - P(x<195) = 0.12655

Approximately ≈ 0.1266

c.What is the probability that a Dutch male is between 173 and 193 cm?

For x = 173

z = 173 - 183/10.5

z = -0.95238

Probability value from Z-Table:

P(x = 173) = 0.17045

For x = 193

Hence:

z = 193 - 183/10.5

z = 0.95238

Probability value from Z-Table:

P(x= 193) = 0.82955

Hence, the probability that a Dutch male is between 173 and 193 cm

P(x = 193) - P(x = 173)

0.82955 - 0.17045

= 0.6591

d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

This is interpreted as when x > 190 cm

Hence,

z = 190 - 183/10.5

= 0.66667

Probability value from Z-Table:

P(x<190) = 0.74751

P(x>190) = 1 - P(x<190)

= 0.25249

Therefore, the number of people we would expect to be taller than 190 cm is

Random number of samples × Probability

= 1000 × 0.25249

= 252.49 people

Approximately≈ 252 people

A random sample of 10 subjects have weights with a standard deviation of 12.7363 kg. What is the variance of their​ weights?

Answers

Answer:

Variance, V = 162.2133 kg²

Step-by-step explanation:

Given the following data;

Standard deviation = 12.7363 kg.

To find the the variance of their weights?

Mathematically, standard deviation is equal to the square root of variance.

[tex]Sd = \sqrt{V}[/tex]

Where;

Sd is the standard deviation of the sample.

V is the variance of the sample.

Substituting into the formula, we have;

[tex]12.7363 = \sqrt{V}[/tex]

Taking the square of both sides, we have;

[tex]12.7363^{2} = V [/tex]

Variance, V = 162.2133 kg²

Find the measure of WX and show work

Answers

Ans : the measure of WX = 8

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEE OUTTTTTTTTTTTTTTTTTTTT I DO ANYTHING



Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.



1) Write an equation describing the relationship between:

a) The number of plain coasters bought and the cost of the coasters.


b) The number of coasters with a logo bought and the price of the coasters.


c) Is either coaster relationship proportional? Explain in writing how you know.


d) Explain what the unit rate of the line described by each equation means in the context of the coasters.


2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.

a) Write the equation describing this relationship.

b) Indicate whether or not it is a proportional relationship and explain why?

c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

6

Step-by-step explanation:

Answer:

Q1.

a. y = 3x + 0

b. y = 3x + 25

c. Plain is proportional because the y-intercept is zero.

d. It shows the cost of each coaster.

Q2

a. y = 4x + 0

b. It is proportional since the y-intercept is zero.

c. No the graph will never intersect because the equations in combination will result in parallel lines since there is a slight variation in the cost of EZ Coaters

Graph the image of rectangle  after a translation 6 units right and 1 unit down.​

Answers

Answer:

see image

Step-by-step explanation:

one by one, move each point

Use the points and move each point to the right 6 and go down 1 and make a new mark.

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than and draw a sketch of the region.

Answers

Answer:

0.5000

Step-by-step explanation:

According To The Question,

The Area under the Standard Normal Curve, We Can Use the Statistical Tables , That Reported Area As P(z < a) .  

Thus, We need to use the following Relationship.

P(z > a) = 1 - P(z < a)

Now solve, P(z > 0) = 1 - P(z < 0) ⇔ 1 - 0.5000 ⇔ 0.5000

(Diagram, Please Find in Attachment)

20 POINT MATH PROBLEM HELP PLEASE

Answers

Answer:

b. x=22

Step-by-step explanation:

3x-23=43

3x=43+23

3x=66

x=22

Please I need help asap, I will mark the best answer as Brainliest and give 20 points. I really need this if Im going to be able to study

Answers

Answer: The new point might be is 47,8 by applying the rule to both x and y

Step-by-step explanation:

Right angle Trigonometry, please help me solve (find the angle ) and explain!

Answers

Answer:

<A = 41.41

Step-by-step explanation:

You want angle A.  Call it theta.

AC is the adjacent side. It is the side that is NOT the Hypotenuse.

The Hypotenuses is the longest side in a right triangle.

Cos-1 (Adjacent Side / Hypotenuse ) = theta

Adjacent side = 6

Hypotenuse = 8

Cos-1(6 / 8) = theta

theta = Cos-1(0.75)

theta = 41.41 rounded.

Complete the expressions.
Write each answer as a number, a variable, or the product of a number and a variable.
=7r6
=
7r
Commutative property of multiplication
=
Multiply

Answers

Complete question :

Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +

Answer:

2 ; 63r ; 14

Step-by-step explanation:

Given :

7(9r + 2)

Opening the bracket :

7*9r + 7*2 - - - - (1)

Taking the product

63r + 14 - - - - (2)

Now filling the blanks :

First blank corresponds to 2 (from (1))

Second blank corresponds to 63r (from (2))

Third blank should be 14

Siti had $3249. After donating $1387 to charity, she had $237 less than Hazid. How much money did Hazid have?​

Answers

Answer:

the answer is 2099

Step-by-step explanation:

after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099

1. Find the least common multiple of 6 and 9. oct common multiple of​

Answers

The least common multiple is : 18

It is the lowest amount that can be reached.

I need help with this.

Answers

9514 1404 393

Answer:

  $400

Step-by-step explanation:

The word "per" in math often means "divided by". To find price per square foot, find price divided by square feet.

  $700,000/(1750 ft²) = $400 /ft²

The price per square foot of House 4 was $400.

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