quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?

Answers

Answer 1

Answer:

The vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

Step-by-step explanation:

Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.

Let us suppose

A(-5, 1)B(-4, 3)C(1, 2)D(-3, 0)

We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:

(x, y) → (2x-2, 2y-2)

Therefore, the vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)


Related Questions

I don’t know what to do?!? Help please

Answers

Answer:

Option A

Step-by-step explanation:

[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]

Its A I think hopwd this helped

Complete the congruence statement by naming the corresponding angle or side.
50 points

Answers

Step-by-step explanation:

The answer is line CB = line BC (C).

An urn contains 6 red balls, 8 green balls, and 10 white balls. If balls are selected one by one (without replacing them after they are selected) what is the probability that at least two balls must be selected in order to get a green ball. g

Answers

Answer:

0.43478

Step-by-step explanation:

From the information given:

[tex]The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)[/tex]

[tex]= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}[/tex]

[tex]=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})[/tex]

= 0.05434782609 + 0.1086956522  + 0.1086956522  + 0.1630434783

= 0.4347826088

≅ 0.43478

9. A machine can make 32 water bottle every 6 minutes. At this rate, how many water bottles can the machine make in 60 minutes? A 92 B 38 с 326 D 320 1​

Answers

Answer:

320

Step-by-step explanation:

32 bottles  in 6 minutes add a 0 so you get 320 bottles in 60 minuts.

Answer:

D 320

Step-by-step explanation:

Since 60 minutes is 10 times 6 minutes, the machine can make 10 time more water bottles in 60 minutes than it can make is 6 minutes.

10 * 32 = 320

Answer: D 320

You can also solve by using a proportion.

32/6 = x/60

6x = 60 * 32

Divide both sides by 6.

x = 10 * 32

x = 320

Answer: D 320

A real estate software program gives the estimated values of homes and lists characteristics of the homes. A prospective home buyer used the program to collect a sample of twenty-five homes and recorded the estimated value of the homes and how many bathrooms they contain. The prospective home buyer wants to investigate whether there is an association between the number of bathrooms a home contains and the estimated value of the home. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?A. A two-sample z-test for a difference between proportionsB. A linear regression t-test for slopeC. A matched pairs t-test for a mean differenceD. A two-sample t-test for a difference between meansE. A chi-square test of independence

Answers

Answer:

E - Chi-Square Test of Independence

Step-by-step explanation:

- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.

-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.

-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.

- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.

-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.

From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.

This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.

Answer:

A chi-square test of independence

Step-by-step explanation:

colllege board

Finding Angles By Deg
Determine if the angle described is 'acute', 'obtuse',
1) 180°
2) 46°
3) 53°

Answers

Answer:

1) Obtuse

2) Acute

3) Acute

Step-by-step explanation:

Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.

Please Brainiest!

Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct way in which 2xx+3-5(x-2) should be expanded.

Answers

The given expression is :

2xx+3-5(x-2)

We know that, [tex]x{\cdot}x=x^2[/tex]

[tex]=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10[/tex]

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

To make lemonade, Brandon mixes 9 cups of water with 2 cans of frozen lemonade concentrate.

Answers

Answer:

Step-by-step explanation:

Y la pregunta?

Can someone help me and explain it please thank you so much I appreciate it!!!!!

Answers

Answer:

12 10 dollar bills.

Step-by-step explanation:

you need 12 10 dollar bills bc i added 3 50 dollar bills (150), 18 20 dollar bills (360), which was 510. after i got 510, i figured out how much was needed left, so i subtracted 630 minus 510 which was 120. in the end i knew 10x12 was 120 so you need twelve 10 dollar bills.

Help plz I don’t have much time

Answers

Answer:

nine and two fifths(  9 2/5 )

Step-by-step explanation:

i used a fraction calclulator

Answer:9.4

Step-by-step explanation:

(8m-2)(3m+7)
Multiply

Answers

Answer:

24m^2+50m-14

Step-by-step explanation:

PLEASE HELP ASAP, WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!

Answers

Answer:

D.  y = -6x + 38

Step-by-step explanation:

Equation of a sequence

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

[tex]a_x=a_1+(x-1).r[/tex]

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D.   y = -6x + 38


Viruses are in which domain of life?
A) Archaea
B) Bacteria
C) Eukarya
D) none of the above

Answers

Answer:

thanks for free points

I believe your answer is D !

Which relation is a function?
OA.
{(2, 3), (1, 5), (2, 7))
B. (-1, 5), (-2, 6), (-3, 7)
Oc. (11,9), (11, 5), (9, 3))
OD.
(3, 8), (0, 8), (3, -2)}

Answers

It’s B because the domain(x) doesn’t repeat like the other options.

What is the value of y = cos (θ) when θ = π?

Answers

Answer:

The cosine function forms a wave that starts from the point (0,1) cos θ = 0 when θ = 90˚, 270˚. Maximum value of cos θ is 1 when θ = 0˚, 360˚.

Step-by-step explanation:

Evaluate.
0^2=
I do not get this way toooooooo hard

Answers

Answer:

zero

Step-by-step explanation:

Answer:The answer is 0

Step-by-step explanation: Sorry i didn't explain it.

What is the slope of the line?

Answers

Answer:

math way

Step-by-step explanation:

Which number line shows the solution set for |a|=6?

Answers

Answer:

the third one

Step-by-step explanation:

the absolute value of -6 is 6

Which is the graph of arctan(x)?

Answers

Answer:

The Inverse Tangent Function (arctan)

Graph of y = tan x.

The graph of arctan(x) is second graph.

We have inverse function [tex]y=tan^{-1} x[/tex]

Creating the table

x     0   π/4    π/2     -π/2     -π/3      π/3

y     0   1         ∞        -∞       -√3       √3

From the given graphs we see that the second graph satisfies the values.

So, the correct graph for arctan(x) is second graph.

Learn more:https://brainly.com/question/2849972

how to find x of the (x+95) and (4x-10)

Answers

Answer:

x=35

Step-by-step explanation:

x+95=4x-10

Subtract x on both sides

95=3x-10

Add x on both sides

105 = 3x

x=35

Hope this helps plz hit the crown :D

Answer:

x = 35

Step-by-step explanation:

(x + 95) = (4x - 10)             get rid of the parentheses

x + 95 = 4x - 10                 put the x's together and put your constants together

105 = 3x                            divide 3 from both sides

35 = x

Hope this helps

which value if x makes this proportional true? 14/20=56/x A.x=62 B.x=70 C.x=80 D.x=100​

Answers

Answer:  C) x = 80

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

Work Shown:

Let's cross multiply to get the following

14/20 = 56/x

14*x = 20*56

14x = 1120

x = 1120/14

x = 80

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

As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.

your answer will be 80 pretty sure

The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?

Age: 13 14 15 16 17 18
Prob: 0.01 0.25 0.27 0.30 0.16 0.01

Answers

Answer:

15

Step-by-step explanation:

Expected value =prob(age)

(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38

round off to get 15

The expected value for the age of a randomly chosen student is 15.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

Total number of students, n = 1500,

Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Calculate the expected value as shown below,

[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38 ≈ 15

Therefore, the expected value for the age of a randomly chosen student is 15.

To know more about probability:

https://brainly.com/question/743546

#SPJ2

2/3y + 1/6y =

Please help me, I am unsure about this one. I just need a grasp on where to start.

Answers

The answer is 5/6y when you add both together
You can double 2/3 since the common denominator for 2/3 and 1/6 is 6 and you have 4/6y+1/6y which equals 5/6y

Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.

Answers

Answer:

Can you please provide the table so I can know the numbers.

Step-by-step explanation:

Thank you

Answer:

plss stop english plss lang po

he

Twice a number is 42 less then five times a number. What is the number? Define a variable, write an equation, and then solve.

Answers

Answer:

Given - Twice a no. is 42 less than 5 times a no.

To find - The no.

Solution -

Let the no. be X

According to the question the equation made is -

2x = 5x - 42

2x - 5x = (-42)

(-3x) = (-42)

x= (-42)/(-3)

x = 14

The no. is 14

how many meters an Ostrich can run in 1 second, 2 seconds , and 4 seconds?

Answers

Answer:

An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds

HELPPPPPP!!!!!!!!!!!!!

Answers

Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

y=mx+b

67.5=3.75(6)+b

b=45 so membership fee is $45

from first principle find the derivative of logx​

Answers

Hello!

[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]

Recall that:

[tex]logx[/tex] can be rewritten as:

[tex]log_{10}x[/tex]

Use the equation for the derivative of a log expression:

[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]

Substitute in the values in the expression:

[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]

8. Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris's purchases, including sales tax. If necessary, round your answer to the nearest cent. C $75.60 A $64.40 B $5.60 B D $70.00​

Answers

the answer is C!
Hope this helps

Which point is located in Quadrant I?
(shown in pic)


Don’t answer if you don’t know, but if get it right i’ll give brainiest! it’s due soon pls help.

Answers

The point in quadrant one is C

Answer:

c

the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV

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