Mathematics Middle School

What are the coordinates of the image of (1, 3), where R(−3, 5) is the center of dilation with scale factor 0.5?

PLS ANSWER QUICK

Answers

Answer 1

Answer:

the coordinates of the image D are (-1, 4)

Step-by-step explanation:

To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.

The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:

0.5 = -3 + k(4)

Solving for k, we get:

k = 1.375

Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have

R: (x, y) = (-3, 5)

D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))

D: (x, y) = (-1, 4)

Therefore, the coordinates of the image D are (-1, 4), which is option D.

Answer 2
(-1,4) are the coordinates of the image

Related Questions

MULTI CHOICE Q
look in picture

Answers

Answer:

D

Step-by-step explanation:

The two legs ( shorter sides) have the right angle between them in a right triangle and

5^2 + 9^2   DOES equal 13^2

The answer would be D. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to form a right triangle.

read the question then answer ones with a ★ beside it .

bryce has a board that is 8[tex]\frac{5}{16}[/tex] feet long .
He cuts off 2[tex]\frac{3}{8}[/tex]
feet to use for a project . what is the length of the board that is left ?

★ . what is the original length of the board ?

★ . what is the length that was cut off ?

★ . write and solve an equation .

★ . the length of the board that is left is ?

Answers

Answer:

   The original length of the board is 8 feet.

   The length that was cut off is 2 feet.

   One possible equation we can use is: x = 8 - 2, where x represents the length of the board that is left. Solving for x, we get x = 6 feet.

   The length of the board that is left is 6 feet.

Step-by-step explanation:

We are given that the board was originally 8 feet long. Bryce cuts off 2 feet from the board to use for a project. Therefore, the length of the board that is left is 8 - 2 = 6 feet.

To solve this problem algebraically, we can set up an equation where x represents the length of the board that is left. We know that the original length of the board is 8 feet, and 2 feet was cut off, so we can write:

x = 8 - 2

Simplifying this equation gives us:

x = 6

Therefore, the length of the board that is left is 6 feet.

2 3/8 -8 5/16 2+8 = 10 64/128

A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.

Answers

Step-by-step explanation:

Volume of cylinder = pi r^2 h

Volume of square container = s x s x h

they need to be equal

pi r^2 h = s^2 h

pi (2)^2 * 10   = 4^2 h            (diameter = 4   then radius = 2)

40pi / 16 = h = 7.9 in  = ~ 8 in   to the nearest 1/4 inch

Do you notice any points on the graphs that are an extreme value? What does this tell you?

Answers

Tells you that someone did a lot of push ups in that amount of time
That the dude can only do abt 25 pushups per 16-18 minutes as that one dot in the dead middle above

Bryan randomly asked several students which type of animal they had at home as a pet. The results are in the pie chart below.

a. What percent of the students had dogs?

b. What percent of the students had birds?

c. How many total students did Bryan interview?

Answers

Answer:

60% of the students have dogs

10% of the students have birds

Bryan interviewed 200 students

Step-by-step explanation:

a.3/5 = 60%

b.60% + 30% = 90%

100% - 90% = 10%

c. 20 x 10 = 200

Answer: 60%, 10%, 200 students.

Step-by-step explanation:

Let's start with turning all of the values into percentages.

3/5 of the students said dogs. As a percentage, 3/5 is equal to 60%.

We now have two percentages, the amount of cats and the amount of dogs. 30%+60%=90%. So that leaves 10%, and that 10 percent is the 20 students who had birds.

If 20=10%, all we have to do is multiply 20 ten times to get to 100%. 20x10=200.

There were 200 students interviewed.

I NEED THIS RIGHT THIS MOMENT

Answers

Problem
Which of the following equations are equations of direct variation? Choose all that apply.
(
A
)
(
A
)
x
=
−
2
y
x
=
-
2
y
(
B
)
(
B
)
x
+
2
y
=
12
x
+
2
y
=
12
(
C
)
(
C
)
3
x
−
2
y
=
0
3
x
-
2
y
=
0
(
D
)
(
D
)
5
x
2
+
y
=
0
5
x
2
+
y
=
0
(
E
)
(
E
)
y
=
0.3
x
+
1.6
y
=
0.3
x
+
1.6
(
F
)
(
F
)
y
−
2
=
x
y
-
2
=
x
Solution
Find
F
F
using the constant of variation formula
x
=
k
y
x
=
k
y
.
x
=
−
16
23
The answer is (a) and (c) since they both go up and down

guys pls help and do it like 1a: _________ for all the questions thanks

Answers

Answer:

no

Step-by-step explanation:

thats alot, i can help you with one atleast

i need to know the area

Answers

Answer:

Step-by-step explanation:

You would do base times height so 11x11=121 then you divide it by 2 which equals 60.5.

Answer:517
2
B +2bh
B=11
H=18
121+2x11x18=517

i need help i dont understand the exponets

Answers

Answer: the small number shows how many numbers their should be so small number 7 then big number 5 would mean 5 5 5 5 5 5 5

Step-by-step explanation:

basically the small number will tell you how many times you are going to put EX : 7^3 7x7x7

The two triangles below are similar. Use scale factor to find x
How to write solution: X = __ cm

Answers

Well Triangle A - ( 5cm by 3cm) and triangle B - ( 15cm by Xcm) if we divide 15/5 we get 3, we have to multiply 3 by 3 To get 9 wich is the angle length for x (or just multiply by 2/3)

ASAP HELP! Which angles are pairs of corresponding angles? Check all that apply.


4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.

Angle1 and Angle3

Angle2 and Angle14

Angle1 and Angle6

Angle3 and Angle7

Angle8 and Angle9

Angle5 and Angle12

Answers

Answer:

angle 2 and angle 14  angle 3 and angle 7

Step-by-step explanation:

Assuming angles are numbered clockwise at each intersection before moving to the next intersection, corresponding angles will differ in their numbers by a factor of 4.

Among the offered choices, the differences of angle numbers are ...

2, 12, 5, 4, 1, 7

Of those pairs listed, angles 2 and 14, and angles 3 and 7 are corresponding angles.

The expression 9.00x+4.50y represents the total amount of money Harriet earns at her two jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. Which shows an equivalent expression to the given expression and correctly describes the situation?

4.50(2x+y), which shows that Harriet earns twice as much per hour at job X than job Y.

4.50(2x+y), which shows that Harriet earns 4.50 times as much per hour at job X than job Y.

13.50xy, which shows that Harriet earns $13.50 each hour she works.

13.50xy, which shows that Harriet earns $13.50 every two hours she works.

Answers

The equivalent expression that correctly describes the situation is:

13.50xy, which shows that Harriet earns $13.50 for each hour she works.

This expression represents the total amount of money Harriet earns at both jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. The coefficient of xy, which is 13.50, represents the amount of money Harriet earns per hour, regardless of which job she is working. Therefore, this expression accurately reflects the situation described

This question was confusing as I don’t know if I put the right answers for the ones I wrote on

Answers

Answer:

  (a) C: $36 per hour; B: $38 per hour

  (b) C: c = 36(h -1) +52; B: c = 38(h -1) +42

  (c) C: $196; B: $194

  (d) 270 = 38(h -1) +42; h = 7

  (e) Brian charges $270 for working 7 hours

Step-by-step explanation:

Given a table of costs and hours for hiring DJs Celinda and Brian, you want to know their hourly costs, equations for their costs, cost for 5 hours, and hours for a cost of $270.

(a) Hourly cost

The cost of an additional hour can be found by subtracting the cost for 1 hour from the cost for 2 hours:

  Celinda: $88 -52 = $36 . . . . . cost increase per hour

  Brian: $80 -42 = $38 . . . . . . . cost increase per hour

(b) Equations

We can use the "point-slope form" equation of a line to write the equations for the costs.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Rearranging, this is ...

  y = m(x -h) +k

Here, the slope is the cost per hour. A suitable point is the first one in the table. The variables 'c' and 'h' are defined for us.

  Celinda: c = 36(h -1) +52

  Brian: c = 38(h -1) +42

(c) 5 hours

Using h=5 in each of these equations, we have ...

  Celinda: c = 36(5 -1) +52 = 196 . . . . cost for 5 hours

  Brian: c = 38(5 -1) +42 = 194 . . . . cost for 5 hours

(d) $270 to Brian

Using the equation for Brian's cost, we simply need to set c=270 to have the equation we need:

  270 = 38(h -1) +42 . . . . equation to find hours

The solution to that equation is ...

  270 -42 = 38(h -1) . . . . . subtract 42

  228/38 = h -1 . . . . . . . . . divide by 38

  6 +1 = h = 7 . . . . . . . . . . . add 1. This is the solution.

It would cost $270 to hire Brian for 7 hours.

(e) Description

The solution to the equation for c=270 is h=7. Since h represents the number of hours the DJ is working, this solution tells us Brian will charge $270 for working 7 hours.

__

Additional comment

The two equations can be simplified by eliminating parentheses and combining like terms:

  Celinda: c = 36h +16

  Brian: c = 38h +4

Parts (d) and (e) work together. The "solution" h=7 doesn't mean anything except in the context of the question it is answering. The question is "how many hours for a charge of $270." The value h=7 means the answer is Brian charges $270 for 7 hours' work.

Answer all of these questions.

1) A survey of 4,000 Americans found that 28% did not vote in the local election.

Population:

Sample:


2) The average points scored by every third member of the basketball team is 13.6.

Population:

Sample:


3) A study found that 55% of college graduates took out student loans to pay for college.

Population:

Sample:


4) In a Washington Post poll, 72% of readers indicated they were happy with the economy.

Population:

Sample:

Answers

Answer:

Population: All Americans eligible to vote in the local election

Sample: 4,000 Americans who were surveyed

Population: All members of the basketball team

Sample: Every third member of the basketball team

Population: All college graduates

Sample: The group of college graduates studied in the study

Population: All readers of the Washington Post

Sample: The group of readers who responded to the poll

Answer: Population: All Americans eligible to vote in the local election

Sample: 4,000 Americans who were surveyed

Population: All members of the basketball team

Sample: Every third member of the basketball team

Population: All college graduates

Sample: The group of college graduates studied in the study

Population: All readers of the Washington Post

Sample: The group of readers who responded to the poll

Step-by-step explanation: That's gotta be it

Needed by 2:00pm Thx

Answers

Answer:

1017 cm³

Step-by-step explanation:

To find the volume of this figure we will first need to divide it into 2 sections. First, we will find the volume of the semicircle on top then the cone at the bottom!

1) Semicircle

The simplest way of doing this is to find the volume as if it was a circle and then divide that result by 2! ([tex]\frac{4}{3}[/tex]πr³)

[tex]\frac{4}{3}[/tex] × 3.14 × 6³ = 904.32904.32 ÷ 2 = 452.16

2) Cone

To find the volume of the cone we need to apply the equation πr²[tex]\frac{h}{3}[/tex] (where h = height)

3.14 × 6² × [tex]\frac{15}{3}[/tex] = 565.2

3) Add

452.16 + 565.2 = 1017.361017 rounding to the nearest whole number!

Hope this helps, have a lovely day! :)

1017 cm
your welcome

Can someone pls help!!

Answers

the answer is the first one..
The answer is the first one

Drag each expression to show whether it is equivalent to 9(t + 3), 9t + 3, or neither.

Answers

Answer:

Step-by-step explanation:

9t + 3

3(3t + 1)

(3 * 3t) + (3 * 1)

4t + 3 + 5t

9(t + 3)  

(9 * t) + (9 * 3)

9t + 27

Neither

(9 + t) + (9 + 3)

Answer: hope this helps ♡

9t + 3:

3(3t + 1)       &       (3 × 3t) + (3 × 1)       &        4t + 3 + 5t

9(t + 3):

(9 × t) + (9×  3)       &       9t + 27


Neither:

(9 + t) + (9 + 3)

How do similar triangles make it easier to measure very tall objects.

Fake answers will be reported

Pls make the answer simple and understandable

Answers

The legs of similar triangles are used to set a proportion of heights and shadows of the tall objects in order to find the value of unknown measure.

the legs of similar triangles are used a set a proportion of heights and shadows of the tall objects in order to find the value of unknown measure. The legs of similar triangles are used a set a proportion of heights and shadows of the tall objects in order to find the value of unknown measure.

help me and thank you

Answers

Answer:

A rectangle is a parallelogram.

Step-by-step explanation:

A parallelogram is a shape with 4 sides. A rectangle has 4 sides and is therefore a parallelogram. It also has two sets of parallel lines which a rectangle does share with a parallelogram.

The radius of a cylinder is (3x-2cm). The height of the cylinder is (x+3cm).
What is the surface area of the cylinder?
Use the formula A=2\pi r^(2)+2\pi rh.

Answers

Answer:  

[tex](24\pi x^2-10\pi x-4\pi)[/tex] square centimeters

Explanation:

Let

[tex]r=\text{radius of the cylinder}=3x-2 < br/ >[/tex]

[tex]h=\text{height of the cylinder}=x+3[/tex]

Then the surface area of the cylinder is given by

[tex]A=2\pi r^2+2\pi rh[/tex]

[tex]=2\pi r(r+h)[/tex]

[tex]=2\pi (3x-2)((3x-2)+(x+3))[/tex]

[tex]=2\pi (3x-2)(4x+1)[/tex]

[tex]=2\pi(12x^2-5x-2)[/tex]

[tex]\boxed{A=(24\pi x^2-10\pi x-4\pi )cm^2}[/tex]

The Perseverance Mars rover uses a special coring bit to drill out a rock cylinder 13 mm in diameter. As the rover drills, the rock core moves into one of 38 sample tubes. If the coring bit collects a rock cylinder 60 mm in length, what is the volume of the rock in the sample tube?

Answers

Answer:

234

Step-by-step explanation:

Answer:

209.58mm(Rounded)

Step-by-step explanation:

V=[tex]\pi[/tex]r^2h

=[tex]\pi[/tex](6.5)^2(60)

=7963.94/38

=209.58mm

At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.

a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent

How many silver and bronze medals were won?

Answers

Answer:80

Step-by-step explanation:

50 + 30 = 80

80 silver bronze and medal were won

Answer all of these questions.

1) If a total of 160 people bought drinks at the stadium on Friday, how many could be expected to have ordered a medium?

2) If a total of 480 people bought drinks at the stadium on Saturday, how many could be expected to have ordered a small?

3) If a total of 100 people bought drinks at the stadium on Monday, how many could be expected to have ordered a small, medium, or large?

Answers

1 Each person can have ordered a medium drink if they bought drinks at the stadium on Friday. Therefore, 160 people can be expected to have ordered a medium drink.

Answer:

1. Each person would have bought a medium drink, so 160 people can be expected to buy a medium drink.

PLS ANSWER BELOWWW i am begging you

Answers

Answer:

123

Step-by-step explanation:

the two triangles are equiangular.

VZ/ZY = VW/WX

13.5/27.5 = VW/36

VW= 16.5*36/27.5 = 21.6

WZ/XY= 3/5

WZ:XY= 3:5

Pythagoras THEROM

44^2 + XY^2= 57.6^2

XY= 37.17

THE PREMETER = 22.3+37.17+36+27.5=123

fill in the blanks i need help

Answers

★ hope this helps you !

step 1 ⋆ multiply 4 by 5 and multiply 4  by 3x

step 2 ⋆ subtract the products

( i ' m not 100 % sure this is correct bc i don ' t know the equation : ( because you didn ' t show it . . . so it may be wrong , sorry ! )

Answer:

X = 8

Explanation:

First you have to multiply 4 · 5 and also multiply 4 · 3x

Then you subtract the products

Hope this helps :)

The amount of a medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.

What is the unit rate in milliliters per kilogram?

Enter your answer as a decimal in the box.

___ mL/kg

(graph in picture below) + brainliest/50 points

Answers

To the question answer is (8,10) & (20,18)

Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders.

1) What is the probability that an 8th grader will be selected?
2) If TWO students are being chosen for the drawing, what is the probability that BOTH students are 8th graders?

Answers

1) 0.3 or 4/12
I’m not entirely sure about the second one but I’m sure someone else will be :)

HELP ASAPPP >>>
(PLS ANSWER THE QUESTION IN THE PICTURE BELOWW) TYYY
+ brainliest

Answers

Answer:

Not proportional

Step-by-step explanation:

The table is not proportional because y doesn't vary directly with x, aka., not in a y=kx relationship.

Answer:

It is not proportional

Step-by-step explanation:

The table is not proportional because they are not in a y=kx relationship.

hope this helps :)

50 POINTS PLS HELP AND BRAINLIEST

Answers

Answer:

No

Step-by-step explanation:

Quarters      Pennies

B1: 6. +         5=11

B2: 6.  +       5=11

B3: 6.    +      5=11

B1+B2 = 22

B1+B2+B3 = 33

So no

i dont think this deserves brainliest

jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she​ use?

Answers

Answer: 420

Step-by-step explanation:

answer to the question is 420
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