If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?

Answers

Answer 1

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).


Related Questions

PLSS PLS HELP ITS DUE SOON IM DESPERATE

Answers

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

21. At Seaford Middle School the cafeteria serves ice cream sandwiches every 5 days and serves
pizza every 6 days. When will be the next day that they serve both ice cream sandwiches and pizza?

Answers

Answer:

on the 30th day

What is the answer??

Answers

Answer:

Tangent to a circle

Step-by-step explanation:

Sorry but I can't draw on this but if you draw it out then the question should become clearer.

every 8 days the cafeteria sells pizza and every 5 days they sell banana pudding today they had both how many days till they sell both agin? plzzzzz help​

Answers

Answer:

40 days

Step-by-step explanation:

This is a least common multiple problem. To do this, you need to find the number where it's a multiple of both.

Multiples of 8 are: 8, 16, 24, 32, 40...

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40.

Both have the number 40.

2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?

Answers

Answer:

Slope/m=3, y-intercept=5

Step-by-step explination

2y-6x=10

Factor out the common term of two

2y/2-6x/2=10/2      /=dividing

y-3x=5

Add 3x to both sides

y-3x+3x=5+3x

Simplify

y=5+3x

To get the slope-intercept form (y=mx+b)

y=3x+5      

PLEASE HELP!
which expression is equivalent to 4(3+5) - 3.9%?
C 1220-54

Answers

Answer: 30.752

Step-by-step explanation:

PLSSS HELPPP. What is the domain and range of the relation {( -4,2), (-9,-5),(-4,12),(8,-8)}

Answers

Answer:

The domain is;

{-4,-9,-4,8}

The range is

{2,-5,12,-8}

Step-by-step explanation:

The domain refers to the values of the function on the x-axis while the range refers to the values of the function on the y-axis

The domain is thus;

{-4,-9,-4,8}

The range is;

{2,-5,12,-8}

Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last weekend how much did Jerome? earn last weekend?

Answers

Answer:

725/100 X 15 = 108.75

108.75 + 80 = 188.75

weekend = $188.75

how big is a 150 x 150 home lot?

Answers

Answer:

22500

Step-by-step explanation:

150 x 150 will be 22500

43,560 square feet = 1 acre

150 x 150 = 22,500 square feet = 0.517 of an acre (rounded)

Libby needs to make 1/2 of her chili recipe for the school's chili contest. If Libby usually needs 1/2 cup of corn for her recipe, how much corn will she need for the chili contest

Answers

Answer:

She need [tex]\frac{1}{4}[/tex] cups of corn.

Step-by-step explanation:

Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.

She make half of her recipe

So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups

[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]

Cross multiply

x=0.25

To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.

Answer:

yep 1/4

Step-by-step explanation:

Your cat eats at least 84 meals every 28 days. Your cat eats x meals each day. Write an inequality to represent the number of meals your cat eats each day.

Answers

Answer:

3

Step-by-step explanation:

84/28=3

which list has the angles of ABC in order from smallest to largest ?

Answers

Answer:

Answer choice A (<A,<B,<C)

Step-by-step explanation:

I have attached a rough drawing of this type of triangle (not to scale)

The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.

This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.

Hope this helps :-)

Ramon simplified this expression correctly. Here is what he wrote 12x+2-5. 12x-3 why didn't Ramon combine the 12x with the 2 or -5

Answers

Answer:

He didn't combine the 12 with the two or the -5 because it has a variable.

Step-by-step explanation:

There is an unknown to it, like how much it is multiplied by or something. Since the 2 and the -5 didn't have a variable attached to them, they could be combined with teach other, but not the 12.

Student Council needs $600 for the

spring dance. They only have $210 in the

treasury. The Student Council decides to raise

the rest by selling chocolate lollipops for a $1.50

profit per lollipop. Write and solve an equation

the Student Council could use to find the

number of chocolate lollipops, c, the Student

Council must sell to have the money for the

spring dance.

Answers

Answer:

$490

MARK ME AS BRAINLY

#Carry On Learning

Easy math but im confused (sorry)
Help with q1 and 2 please ^^​

Answers

Answer:

here............. you go...

Find the unknown side length. Write your answer in simplest radical form.

Answers

Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

Select the best method of finding an accurate solution to a system of linear equations.

A:use algebraic methods
B:graph the lines
C:guess and check

Answers

A.use algebraic methods

On a map, 1 inch represents 60 miles. The towns of Howell and Edgerton are
2
3
4
inches apart on the map. What is the distance in miles between Howell and Edgerton?

Answers

Answer:

On the map below, 14 inch represents one mile. Candler, Canton, and Oteen are three cities on the map.

Map_problem_figure_aff1d9be1f7b39bb6155b3bcf9b3ddd4

If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

If Candler and Oteen are 312 inches apart on the map, what is the actual distance between Candler and Oteen in miles?

Commentary

The purpose of this task is for students to translate between information provided on a map that is drawn to scale and the distance between two cities represented on the map. This task is a very straightforward application of the mathematics described in 7.G.A.1. This task would be appropriate for assessment.

Solutions

Solution: 1

A distance of nine miles means 9 quarter inches on the map. This is

9×14=94

or 214 inches between Candler and Canton on the map.

Map_problem_a_425ac563f0de413ec7618e8fe79c1b90

How many 14 inches are in 312 inches? To find this, we divide:

312÷14=72×41=14

So it is 14 miles between Chandler and Oteen.

Step-by-step explanation:

Pls help taking im taking
The table shows the proportional relationship between the gallons (g) of fuel and the price (p) at Phil's Gas Station
PHIL'S GAS STATION
Gallons (g) Price (p)
5 $13.75
10 $27.50
15 $41.25
20 $55.00
The price of gas at Bob's Gas Station is $0.25 less per gallon than Phil's Gas Station. Which equation shows the price of gas at Bob's Gas Station?
A p = 2.59
OB. p = 2.79
oc. p= 2.759
OD p = 39

Answers

Answer: A

Step-by-step explanation:

The equation p = 2.5g shows the price of gas at Bob's Gas Station.

What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

   Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

   Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

  Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

   Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

the equation of price of gas at Phil's station is:

for p = 2.7g +0.25g

p(5) = 2.7*5+0.25*5

= 14.75 (which is not true)

hence,

p = 2.5g + 0.25*g

p(5) = 2.5*5 + 0.25*5

p(5) = 13.75

hence equation of price of gas at Bob's station is:

p = 2.5g

To know more about equation please visit:

brainly.com/question/10413253

#SPJ2

If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?

Answers

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Anybody know the answer??

Answers

Answer:

Graph (A) represents y=x

A museum curator needs to frame a rectangular painting. The painting is 30 inches by 17 inches. If the frame has a width of x on all sides, what is the quadratic function that models the area of the painting and frame?

Answers

Answer:

(30 + 2x) * (17 + 2x)

Step-by-step explanation:

Dimension of painting = 30 by 17 inches

Width of frame on all sides = x

Painting and frame takes the shape of a rectangle :

Area of rectangle = Length * Width

Area of painting = (30 * 17)

Area of frame ;

Length = (x + x) = 2x ;

Width = (x + x) = 2x

Area of frame = 2x * 2x

Equation for the Area of painting and frame :

(30 + 2x) * (17 + 2x)

HEEEEEEEEEEEEEEEEEELP

Answers

the answer is B)25%

New value-Original % Increase= —————————————
Original Value

In this case it would be 50-40
——— = 0.25=25%
40
The answer is 100 percent B

~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~
A circle has a radius of 6 meters. What is the circumference of the circle?

Answers

Answer:

The answer is option A

A) Circumference= 12[tex]\pi[/tex] m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2[tex]\pi[/tex]r

if the radius is 6 meters, C is

C = 2*6 [tex]\pi[/tex]r

C= 12[tex]\pi[/tex] m

the answer is a) 12 .......

If CB =3(x+8) and AD= 4(x+3), find AB

Answers

CD=CA+AB+BD

AB=CD-CA-BD

AB=CD-BD-BD

AB=CD-2.BD

AB=CD-2(BC+CD)

AB=CD-2BC-2CD

AB=-(CD+2BC)

AB=-{98-6(x+8)}

AB= 6x-50

please help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

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

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

I need help I’ve been stuck on this problem for an hour help

Answers

Answer:

-14

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

-12+(-2)=-14

Answer: -14

Step-by-step explanation:

I know the answer but i dont know if it is supposd to be an equation

6 times 2+  (-8 divided by 4

       12                 -2

            12+-2

            -14

so what you put in the box will be the expression i just did

Pemdas

Parentheses

Exponents

Multiply

Divide

Add

Subract


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

If the distance from the center of a Ferris wheel to one of the seats is approximately 90 feet what is the distance traveled by a seated person, to the nearest foot, in four revolutions r=90 feet

Answers

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

How do you calculate the distance?

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

To know more about the distance, follow the link given below.

https://brainly.com/question/1214027.

1176cm to cubic centimeters

Answers

Answer:

2261.54 cubic cm.

Step-by-step explanation:

So 1 cm is equal to .52 cubic cm. So if we take 1176 and divide it by .52 we get 2261.538462. Which is a crazy number, so we round. So 1176 cm = 2261.54 cubic cm. I'm pretty sure that this is correct, good luck! ;)

Other Questions
When is social Darwinism is wrong A line with a slope of 1/3 passes through (-5,r) and (4,1) To make this work correctly, the value of r is? Convert -3 2/7 into an improper fraction. what is the y intercept of the linear equation y= 3/2x-5 is one plus one 15 please answer ASAP GENSQuestion 3 of 4Which activities should be avoided when in an area with a likely source of abloodborne pathogen?Select the 4 answer options that apply.EatingDrinkingSmokingApplying makeupHandwashingPutting on sanitization gloves the lengths of the sides of a triangle are consecutive even integers. one fourth of the perimeter is one less than the length of the shortest side. find the perimeter of the triangle. Please help xD What the main use for machine gun in WW1 How did the Louisiana Purchase affectslavery? Helppppppp I have a brain fart .... what is the meaning of holy bible and use it for a sentence Introduction: The specific heat capacity of a substance is the amount of energy needed to change the temperature of that substance by 1 C. Specific heat capacity can be calculated using the following equation: q = mc deltaT In the equation q represents the amount of heat energy gained or lost in joules), m is the mass of the substance (in grams), c is the specific heat capacity of the substance (in J/g C), and AT is the temperature change of the substance in C). Goal: Calculate the specific heat capacities of copper, granite, lead, and ice. Solve: When you mix two substances, the heat gained by one substance is equal to the heat lost by the other substance. Suppose you place 125 g of aluminum in a calorimeter with 1,000 g of water. The water changes temperature by 2 C and the aluminum changes temperature by -74.95 C. A. Water has a known specific heat capacity of 4.184 J/g C. Use the specific heat equation to find out how much heat energy the water gained (q). B. Assume that the heat energy gained by the water is equal to the heat energy lost by the aluminum. Use the specific heat equation to solve for the specific heat of aluminum. Aluminum's accepted specific heat value is 0.900 J/g C. Use this value to check your work. Why did the United States refuse to recognize colonial claims made on anartica by other countries As the zygote goes through mitosis and creates more cells. Each cell is called a stem cell. In order to become a certain type of cell, these cells will become Or This means they will turn Genes for the type of cell they are becoming, and turn Genes for the type of cell they won't be. Which of the following did NOT challenge imperial power during the early modern era?A. European monarchsB. Russian serfsC. Peninsulares in the AmericasD. Indigenous Native AmericansE. Mullatoes and Mestizos what is it plz ???????????? 1-5 Safety measures in the use of kitchen tools and equipment. How did the Greeks probably transport most of their trade goods?A. Overland along the coastB. By ship along sea coastsC. Overland along existing trade routesD. By ship along rivers and lakes Who can tell me what pneumonoultramicroscopicsilicovolcanoconiosis means? Tell me how you know and use at least 2-5 sentences. If you could write one law to put in place for the entire United States which long would it be?