Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Based On A Graph Below Which Sequence Of Transformation Is Needed To Carry ABCD Onto Its Image ABCD?

Answers

Answer 1

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.


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I don’t believe this has an answer or can be converted. I’ll try to look at some calculators but I don’t see it being easily converted

if a2+b2+c2=ab+bc+ca find a+b/b​

Answers

Answer:

Step-by-step explanation:

a² + b² + c² = ab + bc + ca

On multiplying both sides by “2”, it becomes

2 ( a² + b² + c² ) = 2 ( ab + bc + ca)

2a² + 2b² + 2c² = 2ab + 2bc + 2ca

a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0

a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0

(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0

(a – b)² + (b – c)² + (c – a)² = 0

=> Since the sum of square is zero then each term should be zero

⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0

⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0

⇒ a = b, b = c, c = a

∴ a = b = c.

hence

a+b/b​

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ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!

Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05

Answers

Answer:

Three 1.5-pound jars of honey for $13.05

Step-by-step explanation:

15.35/5 = 3.07

3x1.5=4.5

13.05/4.5 = 2.90

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x would be equal to 1/4

Which expression is equivalent to 163?
O 27
O 211
o 212
o 264

Answers

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ7

Find the value of x so that the function has the given value
f(3) = 3x + 2
f(3) = 8
x=

Answers

Answer:

f(3) =3(2)+2

Step-by-step explanation:

Therefore, x = 2

which is the choice to the inequality below?
x/6>7

Answers

Answer:

[tex]x > 42[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} > 7[/tex]

Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].

Simplify it. [tex]x > 42[/tex]

Therefore, the answer is [tex]x > 42[/tex].

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Given points (-7,2) and (-2,12), write an equation in slope-intercept form.

Answers

Y= 16+2x
The slope of the line is x = 2
The y intercept is (0,16)

Which sequence of transformations will result in a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) being carried onto the parallelogram A'B'C'D' shown below?

Answers

Answer:

translated  1 unit right and 2 units up followed by a reflection across x axis

Step-by-step explanation:

Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Transformation is the movement of a point from its initial location to  new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b unit up , the new point is X'(x + a, y + b).

If a point X(x, y) is reflected across the x axis, the new point is X'(x, -y)

If parallelogram ABCD is translated  1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A*(-1, 3), B*(-3, -1), C*(3, -3), D*(5, -1). If a reflection across x axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Answer:

A translation 1 unit right and 2 units up followed by a reflection across the x-axis.

Step-by-step explanation:

Because you slid the shape over.

Hope this helps! Stay safe! :))))

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?

Answers

Joe will make a $8.00 profit

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1. √8, π, 4
2. 5, π+ 2, 17/3,
3. -2, √2 , 1.7
4. 3/2, √5, 2.5
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Answers

Answer:

its simple 5.90

Step-by-step explanation:

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Answers

Answer:

The height of the flagpole is 20 feet.

In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS

Answers

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°

George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen? The screens have the same width. Screen A is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5 and one-third is greater than 5.3.

Answers

Answer:

The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".

Step-by-step explanation:

The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.

It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:

= 5 cm + [tex]\frac{1}{3}[/tex] cm

= 5 cm + 0.333cm

= 5.333 cm

It is evident from here that the wider screen of Phone B is than that of Phone A.

Answer:

They are all the same width

Step-by-step explanation:

Describe the transformation
A) translation 2 units down
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C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

The equation to find slope is y=mx+b. Find two points in the line that are clear. subtract x1 and x2 and y1 and y2. Plug in the x and y values of one into the equation. b is equal to y when x is 0

Step-by-step explanation:

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Answers

Answer:

y = 119

x = 29

Step-by-step explanation:

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12n>135+4.50n12n>135+4.50n represents the situation in which the artist makes a profit.

Answers

Answer:

The artist makes profits when n>8.18

that is when the number of necklaces exeeds 8.18

Step-by-step explanation:

Given

let the number of necklaces be n

booth rent= $135

The cost of materials for the necklaces = $4.5n

the selling price for all the necklaces =$12n

total expenses= booth rent+cost of material = $135+4.5n

profit = selling price -total expenses

12n > 135 + 4.50n

solving for n we have

12n=135 + 4.50n

12n+4.5n=135

16.5n=135

n=135/16.5

n=8.18

The artist makes profits when n>8.18

NEED TO ANSWER IN NEXT FIVE MINUTES!!!!!! HELP PLEASE!!! WILL MARK BRAINLIEST AND GIVE 20 PTS!!

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Answer:

Given a=35 and ∠β=42°,

b = 31.51414

c = 47.09715

∠α = 48° = 0.83776 rad = 4/15π

h = 23.41957

area = 551.49748

perimeter = 113.61129

inradius = 9.7085

circumradius = 23.54857

Step-by-step explanation:

On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.

Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning

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Answer:

no

Step-by-step explanation:

yes

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21 trust me, my iq is like 21212121212121

WILL MARK BRAINLEST FOR CORRECT ANSWER

STANDARD FORM

4x + 6y = 12

Find the X and Y intercepts
(0, ) ( ,0)

Answers

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

Answers

Answer:

51 meters

Step-by-step explanation:

The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.

As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,

The length of fencing = The length of the diagonal AC or BD

As the length of both the diagonals of a rectangle are equals, AC=BD.

The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]

[tex]=\sqrt{45^2+24^2}=51[/tex] meters

Hence, Steve needs 51 meters of fencing.

Help ASAP
Help ASAP
use completing the square to rewrite quadratic function into the form y=a(x+h)²+k
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Answer:

The second:   [tex]\bold{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

Step-by-step explanation:

                            [tex]f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.

Answers

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)

Answers

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

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