Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a (1: translation 2 units left and 6 units up, 2: Reflection across the y-axis, 3: Reflection across the x-axis, 4: Translation 6 units right and 2 units down, 5: Dilation by scale factor 2. Choose the Correct answer.

Answers

Answer 1

Answer:

4. Translation 6 unit right and 2 units down.

Step-by-step explanation:

Let' take the point and it's corresponding image.

x(-2,0) and x'(4,-2)

Now,let's find the translation

-2+? =4

0+? =-2

Now, if we solve each for ?, we get

-2+?=4, gives ? =6

0+?=-2 gives ?=-2

It means the translation is move right 6 units and down 2 units.

So, option 4 is right.


Related Questions

If sine theta almost-equals negative 0.7660, which of the following represents an approximate value of tangent theta, for 180 degrees less-than-theta less-than 270 degrees? 0.7660 0.8392 1.1916 1.4198

Answers

The value of the tangent when the angle is from 180 to 270 is 0.9392. Then the correct option is B.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

If sine Θ almost equals negative 0.7660.

Then the angle will be

[tex]\theta = sin ^{-1} (-0.7660)\\\\\theta = -49.996^o[/tex]

The interval of the angle is from 180 degrees to 270 degrees. Then we have to add 270 degrees in the angle. Then the angle will be

[tex]\theta = -49.996^o + 270^o\\\\\theta = 220.0039^o[/tex]

Then the tangent of Θ will be given as

[tex]tan \theta = tan \ (220.0039^o) = 0.8392[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C.     1.1916

Step-by-step explanation:

Have a great day

Select the correct statements

Answers

∠G , ∠H , ∠K

∠G and ∠H are congruent as they have same shape and size. Their angle measure and length is same. Either of the shape is reflected over the x-axis. ∠K is congruent with the shape, due to same angle measure and is enlarged over the y-axis.

∠M is not congruent, it does not have similar shape. Their angle differs.

Answer:

H, G, K

Step-by-step explanation:

G and H are congruent. Their angle measure and length is same. K is congruent with the shape.

M is not similar it does not have the same shape. It's angle differs.

A oil company has a large tank that holds the oil before it is distributed. Which of the following amounts of oil would fit in the tank properly?
A: 21,000
B: 30,000
C: 20,000
D: 22,000

Answers

It would be D cause a truck would not be able to hold over 25k in with this case there’s on 22k

The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio of grilled chicken salads to the total number of lunches sold?

Answers

Answer:

3:2:1

Step-by-step explanation:

2 is the grilled chicken

Hope this helps.

(5x + k)2 = mx2 + 70x + 49
Find m
Find k

Answers

Answer:

10x+2k=(2m+70) x + 49

10= 2m+70

2m=-60

m = -30

2k=49

k= 49/2

I NEED HELP ASAP Im not understanding and its due

Answers

Answer:

y = x/2 means that it's whatever x is and that divided by 2

Step-by-step explanation:

For example for 8 it would be y=8/2 which is 4

14 would be 7

3 would be y= 3 x 2 your multiplying because the value is y so it's 6

Answers (from top to bottom)

y = 4y = 7x = 6

Reasoning:

The rule says if you know what x is, divide by 2 to get y

In the first row, if x = 8, then y = x/2 = 8/2 = 4.

In the second row, x = 14 leads to y = 7 since 14/2 = 7.

The third row has us go in reverse. We multiply the y value by 2 to find x

This is because y = x/2 solves to x = 2y. So if y = 3, then x = 2y = 2*3 = 6.

We can then check this to get y = x/2 = 6/2 = 3.

h31p m3 pl3as3 1 d0nt know th!s

Answers

Answer:B

5x-8/12y

Step-by-step explanation:

Which student correctly translated the phrase ""twice the sum of a number cubed and nine"" and evaluated it for r = 3? Antonio's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (9 9) = 2 (18) = 36. Jessica's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (27 9) = 2 (36) = 72. Maria's work. 2 r cubed 9 = 2 3 cubed 9 = 2 27 9 = 29 9 = 38. Mark's work. 2 3 r 9 = 2 3 (3) 9 = 2 9 9 = 11 9 = 20.

Answers

By simplifying given phrase "twice the sum of a number cubed and nine" and  evaluating it for r = 3 we got that Jessica done it correctly

What is cube of any number ?

Cube of any number means multiplying that number with itself 3 times.

For example [tex]3^3=3\times3\times3=27[/tex]

Here given phrase is

twice the sum of a number cubed and nine

let number be r

We can write it as

[tex]2(r^3+9)[/tex]

Now evaluating it for r=3

[tex]2(3^3+9)[/tex]

Now we can simplify it as

[tex]2(27+9)\\\\=(36)\\\\=72[/tex]

By simplifying given phrase "twice the sum of a number cubed and nine" and  evaluating it for r = 3 we got that Jessica done it correctly

To learn more about cube visit : https://brainly.com/question/107100

Answer:

B

Step-by-step explanation:

sorry if I'm late<3

Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.

Answers

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

Area of a rectangle:area = lw

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

area = 1600 ft²

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: https://brainly.com/question/4151078

What is 4.75 as a mixed number and improper fraction

Answers

Answer:

improper fraction- 475/100

mixed fraction- 4 75/ 100

improper fraction 475/100
mixed number 4 3/4

169 as sum of odd numbers

Answers

Answer:

3 odd numbers can make 169, for an example,

33 + 63 + 73

If my answer helped, then kindly mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step explanation:

Sum of first n odd numbers=n²

13²=169

Therefore sum of 13 odd numbers is 13²

1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²

Pls answer i will mark u brainlist

Answers

Answer:

0%

Step-by-step explanation:

125/100x375

=468.75

75/100x375

= 281.25

gain= 468.75-375

=93.75

loss=375-281.25

=93.75

375x2=750

468.75+281.25

=750

750/750x100

=100%

100%-100%

=0%

its neither a gain nor a loss

Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her community is $31. 00 per $1,000 of assessed value.

Answers

Answer:

$2,790

Step-by-step explanation:

This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:

Rate*value

=31/1000*90000

=$2,790

the answer is $2,790

What is the value of n for: n - 10 = 20

Answers

Answer:30

Step-by-step explanation: 20+10

Answer:

30

Step-by-step explanation:

n-10 = 20 add 10 to both sides

+10   +10

n=30

Hope this helps :)

The plane is equipped with an orthogonal frame (0, i, j).
Let (d) be the line with cartesian equation:
(d) : 2x-3y+1=0 and A(-4,3)
Find the coordinates of the orthogonal projection of A on the (d).

Answers

Answer:

what

Step-by-step explanation:

you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)

-650 ÷ (-26)
with solutions ​

Answers

Answer:

The answer is 25

Step-by-step explanation:

I used a calculator. if this is for a quiz for other people do

A. 25

B. 34

C. -5

D. -65

State the period, midline, amplitude, and range of the given graph. (I will mark brainliest, my answers were wrong!)

Answers

Answer:

Period:  [tex]4\pi[/tex]

Midline:  y = 2

Amplitude:  3

Range:   [-1, 5]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]2\pi - (-2\pi )=4\pi[/tex]

Midline - center line

Range = -1 ≤ f(x) ≤ 5

[tex]\implies \sf midline =\dfrac{5-(-1)}{2}+(-1)=2[/tex]

⇒ Midline:  y = 2

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 5

center line:  y = 2

Therefore, amplitude = 5 - 2 = 3

Range - the set of all values that the function takes

-1 ≤ f(x) ≤ 5  →  [-1, 5]

Period:-

Only one peak is shown so we take distance between troughs

Period=2π+2π=4π

#Midline

The mean of pitch

[-1,5]

Midline::

[tex]\\ \tt\Rrightarrow \dfrac{5+1}{2}-1=3-1=2[/tex]

y=2

#Amplitude

Distance between trough and midline

2-(-1)=2+1=3

#Range:

The pitch

[-1,5]

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

[tex]P=236000(1+0.04)^t[/tex]

Step-by-step explanation:

Exponential equation:  [tex]y=a(1+r)^x[/tex]

where:

[tex]a[/tex] is the initial value[tex]r[/tex] is the growth rate (in decimal form)[tex]x[/tex] is the independent variable[tex]y[/tex] is the dependent variable

Given:

Population is increasing at a rate of 4% each yearPopulation in 2000 was 236000Let t = number of years since 2000Let P = population

Therefore,

[tex]a[/tex] = 236000[tex]r[/tex] = 4% = 4/100 = 0.04[tex]t[/tex] is the independent variable[tex]P[/tex] is the dependent variable

[tex]\implies P=236000(1+0.04)^t[/tex]

Note the rule

[tex]\\ \rm\rightarrowtail y=P(1+\dfrac{r}{100})^t[/tex]

Now

P=236000Rate of change=r=4%

Put it

[tex]\\ \rm\rightarrowtail y=236000(1+4/100)^t[/tex]

[tex]\\ \rm\rightarrowtail y=236000(1+0.04)^t[/tex]

Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?

Answers

You are missing expression..

But if you simplify you can find the answer (given below)

Answer:

[tex]2x^2-3x-1[/tex]

Step-by-step explanation:

[tex]10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)[/tex]

[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]

[tex]10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2[/tex]

[tex]=10x^2+6x-8x^2+3-\left(9x+4\right)[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-\left(9x+4\right)+10x^2-8x^2+6x+3[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2[/tex]

[tex]=-\left(9x+4\right)+2x^2+6x+3[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(9x+4\right)=-9x-4[/tex]

[tex]=-9x-4+2x^2+6x+3[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=2x^2-9x+6x-4+3[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-4+3=-1[/tex]

[tex]=2x^2-9x+6x-1[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x[/tex]

[tex]=2x^2-3x-1[/tex]

Answer = [tex]2x^2-3x-1[/tex]

~Learn with Lenvy~

What is the value of B in terms of π?

____π in.2

Answers

Answer:

Step-by-step explanation:

B is base area of cone  and h is the height.

[tex]V =\dfrac{1}{3}Bh\\\\\\96\pi =\dfrac{1}{3}B*18\\\\\\96\pi =B *6\\\\\\Now, \ divide \ the \ entire \ equation \ by \ 6 \\\\\dfrac{96\pi }{6}=\dfrac{B*6}{6}\\\\\\16\pi = B[/tex]

Answer:  B = 16 π in²

Somebody help please ASAP!

Answers

Answer: 4th box

Step-by-step explanation:

Number 4 fourth box. That’s the answer

help me please thank you​

Answers

Answer:

Step-by-step explanation:

6) The diagonals of an isosceles trapezoid are congruent.

7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.

8) C) The diagonals of an isosceles trapezoid are congruent.

Hint:

Properties of isosceles trapezoid:

1. Only one pair of opposite sides are parallel.

2. The diagonals are congruent.

3. The  base angles are congruent.

4. The opposite angles are supplementary.

Which shows the expression below simplified? 0.000024 ÷ (4 × 10-3)
6 × 10-1
B.
6 × 10-2
C.
6 × 10-4
D.
6 × 10-3

Answers

Answer:

  D.  6×10^-3

Step-by-step explanation:

When powers of the same base are divided, the power of the denominator is subtracted from the power of the numerator.

  [tex]\dfrac{0.000024}{4\times10^{-3}}=\dfrac{24\times10^{-6}}{4\times10^{-3}}=\dfrac{24}{4}\times10^{-6-(-3)}=\boxed{6\times10^{-3}}[/tex]

__

A calculator or spreadsheet can help you with these.

Find the area of the triangle.
14 m
24 m
The area of the triangle is
(Type a whole number.)
а
m3.
m.
m?

Answers

168 m^2

area of a triangle = 1/2 (L • W)

[1/2 (24m • 14m] = 168 m^2 (meters squared)

1) Which BEST describes the arrangement of the categories on the Pareto graph?
es
A) The categories are arranged in order of their frequencies from the least frequent to the most frequent on the Pareto graph.
B) The categories are arranged in order of their frequencies from the most frequent to the least frequent on the Pareto graph.
The categories are arranged in alphabetical order on the Pareto graph.
D) The categories are arranged in no specific order on the Pareto graph.

Answers

The arrangement of categories on the Pareto graph is such that B) The categories are arranged in order of their frequencies from the most frequent to the least frequent.

How is data organized on the Pareto graph?

A pareto graph is such that the category which has the highest frequency will be shown first. The next highest is second and this goes on till the least.

The attached pareto graph does this by showing traffic as the first because it has the highest frequency.

In conclusion, option B is correct.

Find out more on pareto graphs at https://brainly.com/textbook-solutions/q-22-state-graph-pareto-chart-time-series-6#q-22-state-graph-pareto-chart-time-series-2.

What is the simplified form of the following expression? Assume x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction.

Answers

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

What is root index ?

In  [tex]y=a^{1/n}[/tex] n is root index of a.

Here given equation

x greater-than  RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.

It can be written as:

[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

To learn more about root index visit : https://brainly.com/question/8952483

geometric mean between 2 and 2/9

Answers

Answer:

2/3.

Step-by-step explanation:

Geometric mean  = √(2 * 2/9)

= √(4/9)

= 2/3.

The geometric mean between 2 and 2/9 is 2/3.

What is mean?

We can define the mean of the given data set as the average of all the

numbers. Mathematically, we can write mean as -

M = ∑x{i}/n

Given is to find the geometric mean between 2 and 2/9.

The general formula used to calculate the geometric mean is -

[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]

We can write the geometric mean between 2 and 2/9 as -

GM = √(2 x 2/9)

GM = √(4/9)

GM = √4/√9

GM = 2/3

Therefore, the geometric mean between 2 and 2/9 is 2/3.

To solve more questions on Mean, visit the link below-

https://brainly.com/question/10528201

#SPJ3

How would u model 3(2x - 4)?

Answers

3(2x-4)

= 3*2x-3*4

= 6x-12

The diameter of a circle is 22 millimeters. What is the circle's area?

Use 3.14 for PI

please answer i will give brainliest

Answers

Solution:

We know that:

Radius: Diameter/2Area of circle: (π)(r²)

Step-1: Find the radius:

Diameter = 22 mm=> Radius: 22 mm/2=> Radius: 11 mm

Step-2: Find the area of the circle:

Area of circle = (π)(r²)=> Area of circle = (3.14)(11²)=> Area of circle = (3.14)(121)=> Area of circle = 3.14 x 121 = 379.94 mm²
Diameter=22mmRadius=11mm

[tex]\\ \rm\Rrightarrow Area=\pi r^2[/tex]

[tex]\\ \rm\Rrightarrow Area=(3.14)11^2[/tex]

[tex]\\ \rm\Rrightarrow Area=121(3.14)[/tex]

[tex]\\ \rm\Rrightarrow Area=379.9mm^2[/tex]

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$300

Step-by-step explanation:

multiply that 6000 in 0.05

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define each of the following in not more than five words politics 8. Caitlyn has 8 gallons of milk. She uses3of the milk to make hot chocolate.41Then, she usesof the remaining milk to make cookies.4How many gallons of milk does Caitlyn have left after making hot chocolate andcookies? PLEASE HELP I NEED THE ANSWER ASAP D:Alexis and Damien are both in an art club. Surprisingly, they might find careers in Architecture and Construction Career Cluster. Name a few careers in this topic that they would be able to do. CCS 8SCI SMA 3 L.5.1, 5.2 / 1 of 19Which does an organism need to undergo cellular respiration?A. food and oxygenB. water and sunlightC. sunlight and oxygenD. carbon dioxide and energy What is kelp ?why should people who fish for living know about kelp? What is the slope of the line parellel to this line -9x+3y=6 What is the relationship between temperature and kelp survival? A well substantiated explanation, or, a group of common ideas intended toexplain something. *O InferenceTheoryHypothesisInertia Read the passage from "The Crab That Played with the Sea. But towards evening, when people and things grow restless and tired, there came up the Man (With his own little girl-daughter?)Yes, with his own best beloved little girl-daughter sitting upon his shoulder, and he said, What is this play, Eldest Magician? And the Eldest Magician said, Son of Adam, this is the play of the Very Beginning; but you are too wise for this play. And the Man saluted and said, Yes, I am too wise for this play; but see that you make all the Animals obedient to me. What is the tone in this passage?dark and suspensefullight and affectionaterespectful and admiringserious and academic answers to readworks as luck would have it ZN is tangent to circle OO at point ZZ. If \text{m}\overset{\huge\frown}{ZMB} = 280^{\circ}m ZMB =280 , find \text{m}\angle BZNmBZN. determine the y- intercept of 3x+2y=9 7. This tortoise is eating cactus on a sunny day. Is carbon moving into the air, moving out of the air, or both? a Carbon is not moving into the air; it is only moving out of the air. B With this information, there is no way to know for sure. C Carbon is only moving into the air; it is not moving out of the air. D Carbon is moving into the air and out of the air at the same time. what is gender discrimination? Select the correct answer.Which of the equations below represents a line perpendicular to the x-axis?.I = 3.= 3yOC.=yOD.I = -3yResetNext Simplify the following (12+7)-(2-23) please help me guys i really dont understand this one Are you in good physical health? why? 7. The total cost of producing 475 calculators was $12,825. What is the unit cost (that is, the cost of producing 1 calculator)? Paula's kitten weighs 3 1/2 pounds. Write this weight in the boxes using pounds and ounces.