Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?

Answers

Answer 1

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).


Related Questions

Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.

Answers

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Can you help me with this?
|a^2| if a<0

Answers

Answer:

|(-a)²| = | a² | = a²

Step-by-step explanation:

absolute value is always positive number as well as any number squared so sign is positive no matter what

I would like to know how to solve this please.

Answers

Here’s the answer:
(It didnt let me send the response so I took a screenshot)

will mark bianleast
When figure ABCD is reflected across the dotted line into figure A′B′C′D', which describes the position of B'?


5 units below the dotted line

5 units above the dotted line

3 units below the dotted line

3 units above the dotted line

Answers

Answer:

5 units above the dotted line

Step-by-step explanation:

The reason for this is that there is a distance of 5 units between point B and the line so we know that when it is reflected there will be a distance of 5 as well.

How many 6 packs of soda do jace and jake need to buy if each person has one soda?

Answers

Jace and Jake will need to buy (3) 6 packs of soda if each person will have one

Answer:

3 6 pks are required

Step-by-step explanation:

There are 14 people at the party

14 = 6x  where x is the number of 6 pks

Divide each side by 6

14/6 = 6x/6

2 1/3 = x

Since we cannot buy part of a 6 pk, we round up

3 6 pks are required

Help please I need the answer

Answers

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

this is khan academy and i need it fast thx

Answers

Answer:

C

Step-by-step explanation:

The angles are supplementary because all the angles add up to 180 and they form a straight line together.

What is the product?

(negative 3 s + 2 t)(4 s minus t)

negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared

Answers

Answer:

[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]

Step-by-step explanation:

[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]

Help mee pweaseeeeeee :)))

Answers

Answer: .4

Step-by-step explanation:

.

Can someone help me out on this question?

Answers

Answer:

They are similar, so 6/5 = 10/x.

You can do the rest yourself!

Which set a rational numbers are ordered from least to greatest?

Wrong answers will be reported!!!!

Answers

Answer:

The answer to this is A

Step-by-step explanation:

hope it helped

Answer:

A

Step-by-step explanation:

tell me if im right


Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE​

Answers

Answer:

Step-by-step explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

                   Statements                       Reasons

1). AB║DE                                   1). Given

2). BC ≅ CD                               2). Point C is the midpoint of BD

3). m∠B ≅ m∠D                         3). Interior alternate angles

4). m∠ACB ≅ m∠DCE               4). Vertical angles

5). ΔABC ≅ ΔDEC                     5). ASA property of congruence

6). AC ≅ EC                               6). ΔABC ≅ ΔDEC

7). AC = [tex]\frac{1}{2}(\text{AE})[/tex]                            7). AC ≅ EC

HELP WILL GIVE BRAINLIEST!!!!

How many 1/2 cups are in 3/4 cups?

Answers

Answer:

1 1/2 or 1.5

Step-by-step explanation:

think: half of 4 is 2 so 1 half cup would make it to 2/4

than half of that is 1/4 which is 1/2 of 1/2 a cup

adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)

Simplify the following 2a + 3b + 4a – 7b

Answers

6a - 4b

You would take 2a and add 4a to it which will give you 6a. Then you will take -7b and add 3b to it. I usually just subtract when the bigger number is a negative. Once you do that though you will get -4b. Finally your answer will be 6a -7b

Answer:2a

We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)

And the answer is 2a

1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment?

1. 8
2. 12
3. 14

2. How many possible outcomes are there when Shannon flips a head and rolls an even number?

1. 3
2. 4
3. 6

3. What is the theoretical probability that Shannon flips a tail and rolls a two?

1. 2/12
2. 1/12
3. 3/12

Answers

Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

Oh yikes this is a hard one!

Divide and answer in simplest form

A. 1/15
B. 15/1
C. 3/5
D. 5/3

Answers

Answer:

A.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ 5 = [tex]\frac{1}{3}*\frac{1}{5} =\frac{1}{15}[/tex]

1x3 / 5x3
1/15 the answer is A

How many times larger is 5 × 10 to the power of 6 than 5 × 10 to the power of 2?

Answers

Answer:

10,000

Step-by-step explanation:

The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.

10,000 because you just need to work them out then subtract

63 people are going to the zoo. There are 3 cars to take people to the zoo. How
many will go in each car if the same number go in each car?

Answers

Answer:

21

3x21= 63 have a great day

Step-by-step explanation:

BRAINLIEST PLEASE

Find the measure of the largest angle in the diagram below. (Type the
number only).

Answers

Answer: 112

2x+3x+10=180

5x=170

x=34

3x+10=112

The measure of the largest angle in the diagram is 112 degrees.

What is Angle?

An angle is formed when two straight lines or rays meet at a common endpoint.

The sum of two angles is 180 degrees when they are complementary.

2x+3x+10=180

Two times of x plus three times of x plus ten equal to one hundred eighty.

5x+10=180

Five times of x plus ten equal to one hundred eighty.

Subtract 10 from both the sides

5x=170

Divide both sides by 5

x=34

Now substitute x value in 3x+10 which is largest angle.

3(34)+10

102+10

112

Hence,  the measure of the largest angle in the diagram is 112 degrees.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ2

What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?


Please show the work of the problem

Answers

Answer: $2227.41

Step-by-step explanation:

A = P(1 + r/n)^nt

Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.

Answers

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

Elise says, "If you subtract 16 from my number and multiply the difference by - 7, the result is
-154” what is Elise’s number?

Answers

Answer:

-6

Explanation:

Elise's number is x.

If you subtract 16 from her number -> x-16

and multiply the difference by 7 -> 7(x-16) = -154

Elise's number is -154/7+16 = -6

Need Help ASAP!!!!!....

Answers

Answer x=2.5 the steps are in the picture below

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

12.167(option D)

Solution,

[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]

hope it helps...

Good luck on your assignment....

Answer:C.8.027

Step-by-step

V = s[tex]^{3}[/tex]

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]

We now plug in  s =6

3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]

Select the polynomial that is a perfect square trinomial. 9x2 + 9x + 1 36b2 − 24b + 8 16x2 + 24x + 9 4a2 − 10a + 25

Answers

Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

Please help I really need this answer since I am preparing for my nationals

Will give branliest if it is correct.​

Answers

Answer:   [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]

Step-by-step explanation:

a) First, use the Pythagorean Theorem to find CD:

8² + (CD)² = 10²     →     CD = 6

d) Next, find OB.  Notice that both OB and OC are the radius of the circle.

Using the Segment Addition postulate, we know the radius (r) = CD + DO  →  DO = r - 6

Use the Pythagorean Theorem for ΔOBD to find OB:

(DO)² + (BD)² = (OB)²

(r - 6)² + 8² = r²

r² - 12r + 36 + 64 = r²

   -12r + 100        = 0

             100        = 12r

              [tex]\dfrac{25}{3}\quad = r[/tex]              

c) Now, find AC. Notice that AC is the diameter.

Diameter = 2r

               = 2(OB)

               [tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]  

b) Lastly, find AD. Using the Segment Addition Postulate, we know that

AD + CD = AC   →   AD = AC - CD

                                      [tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

Answers

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ

Answers

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

please help me people thank you in advance

Answers

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]

Hope this helps!

Hey anybody help out this difficult in my opinion

Answers

Answer:

Just describe what you see.

Step-by-step explanation:

- For the first one you are dividing 4/3 by 4/3, so you would write something like Karen is dividing  4/3 by 4/3.

- For the second description say something like Karen multiplied and simplified   3/4 x 4/3 and when you do that you get 1.

(what you teacher is making you do is seriously complicated for no reason)

Other Questions
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