What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?

Answers

Answer 1

9514 1404 393

Answer:

  T'(4, 1)

Step-by-step explanation:

The dilation transformation around a center not the origin is ...

  T' = k(T -R) +R . . . . for dilation factor k and center R

This can be simplified to ...

  T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2

Using the given point values, we find the image point to be ...

  T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)

The image point is T'(4, 1).


Related Questions

Out of these, which is not an inequality?

a. 435 ≥ 5p + 4

b. g - 7 < 100

c. 18x + 9y

d. a > 6b​

Answers

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

Answer this question please

Answers

Answer:

The answer is A

Step-by-step explanation:

Do on the first row, you see 1 tab of 5's

then on the left, you see 1 tab of 3's

So the answer is A!!!

a) 9V3 –473 + 15 + 2/5

Answers

Answer:

the answer is 27v- 2288/5

Which is the correct calculation for the volume of the prism??

3units
5units



4units




3+5+4=12units3
3(4)+6=17units3
3(4)=12units3
3+(5)(4)=60units3​

Answers

Answer:

3+5+4=12units3

Step-by-step explanation:

A prism has a length of 3 units, height of 5 units, and width of 4 units. 3 + 5 + 4 = 12 Units cubed 3(4) + 5 = 17 Units cubed.

Answer:

He is wrong its really 60 units

Step-by-step explanation:

Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is 90 kg?

Answers

Answer:

30 weeks

Step-by-step explanation:

Step-by-step explanation:

1 week -500

2 week -1kg

105-90

15

15 .2

30

there fore its take 30weeks to reduce his weight to 90kg

Solve for x, please help.

Answers

Answer:

60*

Step-by-step explanation:

because 180 -70 -50=60

Answer:

60°

Step-by-step explanation:

hmmmmmm oh yeah it is 60* I was honna wright 40° Lol

The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can you reasonably assume that these test scores have been selected from a normal population? Use a stem and leaf plot to justify your answer.b. Calculate the mean and standard deviation of the scores.c. If these students can be considered a random sample from the population of all students, find a 95% confidence interval for the average test score in he population.

Answers

Answer: a. Yes

              b. mean = 76.65

                  standard deviation = 10.04

              c. 76.65 ± 4.4

Step-by-step explanation:

a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.

Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.

A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.

The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.

b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:

mean = [tex]\frac{\Sigma x}{n}[/tex]

For the 100-point test score:

mean = [tex]\frac{71+93+91+...+65+75+84}{20}[/tex]

mean = 76.65

Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:

[tex]s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }[/tex]

For the 100-point test score:

[tex]s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }[/tex]

s = 10.04

The mean and standard deviation of the scores are 76.65 and 10.04, respectively.

c. Confidence Interval is a range of values we are confident the real mean lies.

The calculations for the confidence interval is

mean ± [tex]z\frac{s}{\sqrt{n} }[/tex]

where

z is the z-score for the 95% confidence interval, which is equal 1.96

Calculating interval

76.65 ± [tex]1.96.\frac{10.04}{\sqrt{20} }[/tex]

76.65 ± 4.4

The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.

what is the perimeter of this tile 6in 2in​

Answers

Answer:

16in

Step-by-step explanation:

Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.

6 times 2 is 12

2 times 2 is 4

4 + 12= 16

Answer:

16 in

Step-by-step explanation:

Sarah's fish tank holds 32 litters of water. Sarah uses a 4 liter container to fill the tank. how many times will Sarah need to fill the 4 liter container in order to fill the fish tank.​

Answers

Answer:

8 times,

Step-by-step explanation:

4 x 8 is 32

(282-14*3*6)/(6) -(21-18)

Answers

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume​

Answers

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216

Answers

Answer:

A

Step-by-step explanation:

The fact you need to use is 47%

47/100 * 47/100 = 2209 / 10000 = 0.221

What is the equation of the line that passes through the point (-1,-3) and has a slope of -5

Answers

Answer:

5x + y + 8 = 0

Step-by-step explanation:

what does the x=?...

Answers

Answer:

3.75

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{6}{x} = \frac{8}{5} \\ \\ x = \frac{6 \times 5}{8} \\ \\ x = \frac{30}{8} \\ \\ x = 3.75[/tex]

me pueden ayudar a encontrar el promedio de Andrea

Español: 8.5

Matemáticas:7.0

Ciencias:9.5

Geográfia:8.0

Formación C. E. :10

Artísticas : 9.5

Educación Física: 9.0

Answers

Answer:

primero sumas todas las calificaciones

posteriormente las divedes entre las materias que son y listo sacas su promedio

espero y te ayude

how many seconds will it take for the dime to hit the ground?

Answers

53 sec hope this helps and meybe you could give me a brainlist?

Step-by-step explanation:

Answer:

8 Seconds

Step-by-step explanation:

0= -16t^2 + 1024

1024=16t^2

64=t^2

8= t

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

What is the missing side length?

Answers

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

A boat moves at a rate of 11 mph in Stillwater if the rivers current flow at a rate of 2 mph how long does it take the boat to travel 26 miles upstream

Answers

Answer:

2 hours 52 minutes

Step-by-step explanation:

11-2=9

26/9=2.87

Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog

Answers

Answer: 3.9

Step-by-step explanation:

7.8 miles x 0.5 = 3.9 miles

erica jogged 16.6 miles i believe

solve each equation for given variable
12 - 4i= -8

Answers

ANSWER: I = 5

STEP BY STEP EXPLANATION:

HOPE THIS HELPS.

Since 12 - 4i = -8 is false , there is no solution.

I will mark Brainliest
An example of a rational number is____.

A. negative Start Root 16 End Root

B. Start Root 27 End Root

C. negative Start Root 2 End Root

D. Start Root 57 End Root

Answers

Answer:

I think d. Sorry if I am wrong.

Step-by-step explanation:

help plsssss ayuda pls

Answers

Answer:

PERDON POR HACER ESTO

Step-by-step explanation:

NO ENTIENDO

2) James paid x dollars plus 3% sales tax for a pen. Write an algebraic Expression for the amount of
money he paid for the pen.
3) Seven watermelons each weighs w pounds a basket can hold 11 pounds less than two-fifths of the
weight of the watermelons. What weight can the basket hold?
(US)
Text Predictions: On
100%
Algebraic expression for #3

Answers

Answer:

What’s the answer?!? Ok

Step-by-step explanation:

Which of these are
AAS, HL, SAS, SSS OR ASA

Answers

#3 is SAS if i’m not mistaking. i hated these whne i did them

Answer:

1. HL

2. ASA

3. AAS

4. SSS

Step-by-step explanation:

1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).

2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).

3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).

4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).

I hope this helped!

Solve the system of linear equations by graphing

Answers

The answer to this problem is (x,y) = (-4,2)

Answer:

Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.

Step-by-step explanation:

A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.Which statement about account balances is correct?A) Barnsboro Bank has more variation.B) Wellington S&L has more variation.C) Both have the same variation.

Answers

Answer:

A) Barnsboro Bank has more variation.

Step-by-step explanation:

Coefficient of Variation:

The coefficient of variation is given by the division of the standard deviation by the mean.

In this question:

The account balance with the highest coefficient of variation has more variation.

Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87.

So

[tex]cv = \frac{87}{315} = 0.2762[/tex]

Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800.

So

[tex]cv = \frac{1800}{8350} = 0.2156[/tex]

Barnsboro Bank has the higher cv, so more variation, and the answer is given by option A.

Which inequality is FALSE?
A
2/10 > 0.13
B
0.25 > 1/4
C
0.125 < 1/6
D
0.15 < 2/3

Answers

Answer:

A is a false equation broooo

Answer:

B, because 0.25 is EQUAL TO 1/4, not greater than

Step-by-step explanation:

A. 2/10 (or 1/5) is equal to 0.2 and 0.2 > 0.13 is correct

B. 1/4 is equal to 0.25, so 0.25 > 1/4 is incorrect

C. 1/6 is equal to 0.166666... and 0.125 < 0.1666 is correct

D. 2/3 is equal to 0.6666... and 0.15 < 2/3 is correct

)
Write an exponential decay
equation with a rate of 25% and
an initial value of 6.

Answers

Ye jsjsjsjsidi jd j sb end rn d end. She x Benz

A 0.025 kg bullet enters a 2.35-kg watermelon with a speed of 217 m/s

and exits the opposite side with a speed of 109 m/s. If the melon was

originally at rest, then what speed will it have as the bullet leaves its

opposite side?

Answers

Answer:

1.15m/s

Step-by-step explanation:

Given data

m1=0.025 kg

m2= 2.35kg

u1= 217 m/s

v1= 109 m/s

u2= 0

v2=???

Applying the law of conservation of linear momentum

m1u1+m2u2=m1v1+m2v2

substitute

0.025*217+2.35*0= 0.025*109+2.35*v2

5.425= 2.725+ 2.35v2

5.425-2.725=2.35v2

2.7=2.35v2

divide both sides by 2.35

v2= 2.7/2.35

v2=1.15 m/s

Hence the speed of the watermelon will be 1.15m/s

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