Triangle XYZ with vertices X(-2, 12), Y(6, 4), and Z(-6,-4): scale factor = 3/4, centered at (-2, 8)

Answers

Answer 1

Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;

X'(-2, 11), Y'(4, 5), Z'(-5, -1)

How can the image of the triangle be found?

The coordinates of the vertices of the triangle are;

X(-2, 12), Y(6, 4), Z(-6, -4)

The center of dilation = (-2, 8)

The scale factor of the dilation = 3/4

The coordinates of the required image following the dilation are;

(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))

The coordinates of X' = (-2, 11)

The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))

The coordinates of Y' = (4, 5)

The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))

The coordinates of Z' = (-5, -1)

The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;

X'(-2, 11), Y'(4, 5), Z'(-5, -1)

Learn more about dilation transformation here:

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Related Questions

The product of a and 52 is the same as 676

Answers

Answer: A= 13

Explanation: 13x52=676

Answer:

a = 13

Step-by-step explanation:

a * 52 = 676

52a = 676

a = 13

Please mark me the brainliest!?!

The sum of a number and its reciprocal is 6.41. What is the number?

Answers

Answer:

i think you need to make the number into a whole all together.

“The product of a number and negative 8” ( translating expression).

Answers

Answer:

x(-8)

Step-by-step explanation:

-8x is the expression

Help me solve this problem please

Answers

Answer:

look at picture :)))

Step-by-step explanation:

is this right?

Classify the numbers as rational or irrational.
7
√ 14
7 + √ 14
7./14
rational
irrational

Answers

Answer:

1. R

2.I

3. I

4.R

Step-by-step explanation:

Solve
-5(x + 3) = 2(x - 4)

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

X = -1

Step-by-step explanation:

Eight and seventy-four hundredths in standard decimal form

Answers

Hey there!

Fact: Usually whenever you see the “-th” in word-form in mathematics we know the result will have a decimal in it!

Since you have the “-th” in your problem we know it’ll have a decimal

Now let’s start solving!

8 would be in your ONES place

.

7 would be in your TENTHS place

4 would be in your HUNDREDTHS place

Your answer SHOULD look like this: 8.74 ☑️

Note: ALWAYS check your wording in problems. It’ll come easier to you!

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

1.) Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert.
Did they pay at the same rate (what was the value they paid for 1 ticket)? How do you
know?

Answers

They pay at the same rate.
The value they paid for one ticket is 15.67$
How do you know:
Andre paid for 3 times more tickets than Diego. 47 x 3 is 141, so they are at the same rate.
47 / 3 is 15.667, which rounds up to 15.67$ in money terms.

Write the equation for a parabola whose vertex is (-6,-1) and passes through (-12,17).

Answers

Answer:

[tex]y=\frac{1}{2}(x+6)^2-1[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x+6)^2-1[/tex]

The value of a will be determined by using the given point:

[tex]17=a(-12+6)^2-1[/tex]

Operating:

[tex]17=a(36)-1[/tex]

[tex]36a=18\Rightarrow a=18/36=1/2[/tex]

Solving:

[tex]a=1/2[/tex]

The equation of the parabola is:

[tex]\boxed{y=\frac{1}{2}(x+6)^2-1}[/tex]

Use the diagram below to answer the question.
6x + 15
10x-5
14 What is the value of ?
Use the diagram below to answer the following questions.
1
32 degrees
2
43 degrees
3
15 What is the measure of 21?
What is the measure of 232

Answers

Answer:

1. x = 5

Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.

6x + 15 + 10x - 5 = 90

2.

Angle 1 = 43 degrees

Angle 3 = 32 degrees

Plz help this assignment is due today!!! Also plz make sure to write the equation, graph, and type the solution. Thank you

Answers

Answer:

u can search on google the example

What do you do in algebra

Answers

Algebra 1 is the second math course in high school and will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. Basic Of Algebra
Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. ...
Q 1: Find y, when, y + 15 = 30.
Solution: y = 30 – 15.
Q 2 : Find x, when, 9x = 63.
Q. 3: If x/7 = 21, then find x. Learning algebra helps to develop your critical thinking skills. That includes problem solving, logic, patterns, and reasoning. You need to know algebra for many professions, especially those in science and math.
Algebra is a system of manipulating numbers and operations to try to solve problems. When you learn algebra, you will learn the rules to follow for solving problems. But to help make that easier, you need to have a strong understanding of basic math facts. ... Being able to work with two-digit numbers is even more helpful. The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression. Algebra is thinking logically about numbers rather than computing with numbers. ... Paradoxically, or so it may seem, however, those better students may find it harder to learn algebra. Because to do algebra, for all but the most basic examples, you have to stop thinking arithmetically and learn to think algebraically. Algebra is an important life skill worth understanding well. It moves us beyond basic math and prepares us for statistics and calculus. It is useful for many jobs some of which a student may enter as a second career. Algebra is useful around the house and in analyzing information in the news.

The value of 4.8-(2.5-6.3)

Answers

Answer:

first you will Subtract 6.3-2.5 and should get 3.8 now 4.8-3.8=1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

PEMDAS

Simplify: 12x + 4(-7x + 3)

Answers

-16x+12

hope this helps

Answer:

-4x+3

Step-by-step

4*(-7)=-28

4*3=12

12x-28x+12

-16x+12

4/ (-16x+12)= -4x+3

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy. What was her first error?

Answers

Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

Answer:

She is right, however her explanation is wrong.

In order to find the unit price, you need to divide the amount by the cost.

You will then see that 12 divided by 2.39 < 18 divided by 3.39.

The smaller unit price is obviously the better buy.

Step-by-step explanation:

Can you please solve this?

Answers

Answer:

I think it’s c

Step-by-step explanation:

You can buy 5 cans for green beans at the Village Market for $3.70. You can buy 10 of the same cans of beans at Sam's Club for $6.90. Which place is the better buy?

Answers

Answer:

1 can of green beans at Village Market is $0.74.  At Sam's Club, one can of green beans is $0.69. Therefore, Sam's Club is the better buy, by being cheaper than Village Market's by $0.05.

Step-by-step explanation:

Please solve this multi-step equation that has parenthesis.
2(x - 5) + x = x + 8

Answers

Answer:

Your answer : x = 9

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

6+56+56+56+75+87+100000000000000000000000000000-3

Answers

Answer:

1.0e29

Hope this helps! Please mark Brainliest!

lol evn the bob ross doesn't know the answer to that

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful  no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

help!!!! meeeeeeeeeeeee

Answers

Answer:

most likely yards

Step-by-step explanation:

Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?

Answers

Answer:

16 hours

Step-by-step explanation:

trust me its rsm principal test rite? lol u just divide the hours by 2 cuz there are only half the pumps

Answer:

64 hours

Step-by-step explanation:

If f(x)= 2x-5, then what is the value of f(2) + f(5)

Answers

Answer:

4

Step-by-step explanation:

replace x with 2 then you get -1

Next step replace x with 5 then u get 5

Add 5 and -1. You get four.

The value of  f(2) + f(5) in f(x) = 2x - 5 is 4.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given,  f(x)= 2x-5, therefore f(2) + f(5) can be obtained if we replace x with numerical values 2 and 5 in f(x) which is,

f(2) + f(5) = 2(2) - 5 + 2(5) - 5.

f(2) + f(5) = 4 - 5 + 10 - 5.

f(2) + f(5) = 4

learn more about functions here :

https://brainly.com/question/12431044

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At a candy store, Jeremiah bought 1 pound of jelly beans for $9. Meanwhile, Emma bought 4
pounds of jelly beans and 6 pounds of gummy worms for $60. How much does the candy
cost?
Plz help ASAP

Answers

Answer:

I think the candy cost 51 dollars

Jellybeans: 36$

Gummy worms: 15$

36 + 15 = 51

Step-by-step explanation:

Since jeremiah bought 1 pound for 9 dollar you can minus 9 from the equation which is 51 and since each pound of jelly beans were 9 dollars 9 x 4 = 36 and 51 - 36 is 15 so the cost of the gummy worms are 15 so

either 51 or 36 and 15

Give two other names for PS

Answers

Answer:

it's c

Step-by-step explanation:

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.

The line is shown below.

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Hayden likes building radio-control sailboats with his dad.One of the sails shaped like a triangle has side lengths measuring 6 inches 8 inches and 10 inches. To log her activity Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4 creat a scale drawing of the sail.

Answers

Answer:

1.5 inches ; 2 inches ; 2.5 inches

Step-by-step explanation:

Given that the original measurement of the triangular sail is :

6 inches, 8 inches and 10 inches

Scale factor = 1/4

Hence, scaled diagram of the triangular sail :

1/4 * (6 inches, 8 inches, 10 inches)

1/4 * 6 = 1.5 inches

1/4 * 8 = 2 inches

1/4 * 10 = 2.5 inches

Find the midpoint between (2.8) and (-6.2). *​

Answers

1.7
I added the two numbers together an divided it by two to find the median, or midpoint. Can I have brainliest?

plz help me understand this question

Answers

Answer:

sorry I can't understand this question

Step-by-step explanation:

im busy sorry

What property is 7+(a+b)=(7+a)+b

Answers

Answer:

associative property

Step-by-step explanation:

Associative property of addition is when you move the parentheses but the values don't move

Hope this helps you out!!!!

NEED ANSWER NOW PLS HELP

Answers

Answer:

The second one: [tex]8x^{2}y+7x^{2}-5y^{2}+3x-2+2x^{2}y-x^{2}-2y^{2}-3x-4[/tex]

Step-by-step explanation:

You have to combine the like terms (any numbers with the same variables and exponents)

[tex]8x^{2}y+2x^{2}y=10x^{2}y, 7x^{2}-x^{2}=6x^{2}, -5y^{2}-2y^{2}=-7y^{2}, 3x-3x=0, -2-4=-6[/tex]

If you put all of the answers together you get [tex]10x^{2}y+6x^{2}-7y^{2}-6[/tex]

Using the figure below, find the measure of z ( just enter in the number for your answer don’t worry about the degree symbol or saying “ degrees” after the number

Answers

Answer:

z = 29°

Step-by-step explanation:

We know that the 3 angles in a triangle always add up to 180°.  So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).  

angle A + angle B + angle C = 180°

59° + 92° + z = 180°

151° + z = 180°

Subtract 151° from both sides of the equation

z = 180° -151°

z = 29°

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