What transformation occurred between the set of points below?
A(-8,7) ► A'(-7-8)
B(-4.7) →B'(-7,-4)
C(-6,2)((-2,-6)
A
A reflection over the x-axis
B
Reflection over the y-axis
С
90° clockwise rotation
D 90° counterclockwise rotation

Answers

Answer 1

Given:

A(-8,7) → A'(-7-8)

B(-4,7) → B'(-7,-4)

C(-6,2) → C'(-2,-6)

To find:

The transformation occurred between the set of points above.

Solution:

From the given set of points it is clear that the rule of transformation is

(x,y) → (-y,x)            ...(i)

Because in the given set of points we interchange the x and y coordinates, then we are applying negative sign in the x-coordinate.

If a figure reflection over the x-axis, then

(x,y) → (x,-y)

If a figure reflection over the y-axis, then

(x,y) → (-x,y)

If a figure rotated 90° clockwise, then

(x,y) → (y,-x)

If a figure rotated 90° counterclockwise, then

(x,y) → (-y,x)

Only this rule of transformation is same as (i). So, the figure is rotated 90° counterclockwise.

Therefore, the correct option is D.


Related Questions

14 3/4 + (-21 1/2 ) ( 14 and -21 are part of the fraction)

Answers

Answer:

21

Step-by-step explanation:

the answer to this specific question is 21

Lauren's graduation picnic will cost $34 if it has 17 attendees. At most how many attendees can there be if Lauren budgets a total of $38 for her graduation picnic? Solve using unit rates.

___attendees

Answers

19 attendees, 34$ divided by 17 attendees is 2$ a person. 38$ divided by 2 = 19
There will be 19 attendees

What is -9 ÷ 2/3?
I got: -27/3
Is it right?

Answers

No, the answer should be -27/2

Answer:

1.35

Step-by-step explanation:

Unfortunately you are wrong, the correct way to evaluate this problem…

We know 2/3 is 6.6 repeating

So if we do 9 divided by 6.6

We would get 1.35

Also I don’t know how your teacher want you to evaluate, but -27/3 can become a mixed number (9) which is obviously incorrect because 9 divided by a decimal lower that 1 is going to be a decimal lower than one.

Coach Karian bought 2 basketballs and 8 soccer balls for a total of $204. One basketball cost twice as much as one soccer ball. How much did one soccer ball cost?

Answers

Answer:

$17

Step-by-step explanation:

soccer balls=x

basketballs=2x

8(x)+2(2x)=204

12x=204

x=17

$17 per soccer ball

17 because mahthndnns

Which expression has the same value as 12 − 6 ÷ 3
a. 12 − (6 ÷ 3)
b. 12 ÷ 6 − 3
c. (12 − 6) ÷ 3
d. 12 − 3 ÷ 6

Answers

Answer is a.
Due to BIDMAS/BODMAS
anything that is first, in this case division, goes into brackets.
6 divided by 3 would go into brackets making you solve that first then u would subtract your answer by 12 making your answer 4

Answer is a.

a.
it’s a
12 - (6-3) so yeah #slay

Evaluate using the order of operations

Answers

Answer:

Step-by-step explanation:

First, you have to solve it with parenthesis, where the answer is one, then multiply them by 6= 6. The answer is 4.

4/5+2/10= 1
6•1•2/3=
2•1•2= 4

A lizard can lose its tail to escape a predator, and the tail will grow back at a constant rate. After 6 weeks, a lizard's tail has regrown to 3 3/4 inches long. Find the number of inches the tail grew each week.

Answers

Answer:

15/24 or 5/8 inches each week

Explanation and Checking part below :)

Step-by-step explanation:

3 3/4 ÷ 6

1. Turn the mixed number into an improper fraction.

15/4 ÷ 6/1

2. Use the KCF (keep,change,flip) method (multiply the reciprocal).

15/4 × 1/6 = 15/24

3. Simplify if needed to.

15/24 ----> simplified is 5/8

Check:

5/8 × 6 = 30/8

30/8 = 3 6/8 -----> Simplified to 3 3/4

You need to divide 3 3/4 into 6 which equals to 5/8 or 0.625
Explanation
3 3/4= (4* 3)+3= 15 and you add 4 on the bottom= 15/4 then divide into 6= 6/1 so we use kcf 15/4 * 1/6= 15/24 then simplify 15/25 divide into 3/3 equal 5/8

Which expression has the same value as 20 − 4 ⋅ 3
a. 20 − (4 ⋅ 3)
b. (20 − 4) ⋅ 3
c. 20 + 4 − 3
d. 20 ⋅ 4 − 3

Answers

Answer:

a. 20 - (4 ⋅ 3)

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Please note that multiplication 4 ⋅ 3 will happen before the subtraction -

If we add parentheses, we introduce a new "order". But if the parentheses are around the first operation we perform, the order stays the same!

This means that answer a. must be correct.

We verify:

20 − 4 ⋅ 3 = 20 - 12 = 8

a. 20 − (4 ⋅ 3) = 20 - 12 = 8

b. (20 − 4) ⋅ 3 = 16 ⋅ 3 = 48

c. 20 + 4 − 3 = 21

d. 20 ⋅ 4 − 3 = 80 - 3 = 77

Answer: A: 20 - (4 x 3)

Step-by-step explanation:

In the end, the final answer is 8, so we need to see which one of these options give us 8. As seen, we first must solve the multiplication, and the first option, A, solves the multiplication first because it is in parenthesis, which gives us 8, so the correct answer is A.

Pls help and I will give brainliest, thanks! :)

Answers

Answer:

Step-by-step explanation:

S = 3, -3 T = 3, 7 U = 10, 7 V = 10, -3

S(-4,-10), T(-4,0), U(3,0), V(3,-10)

I NEED ANSWERS QUICKLY PLEASE HELP!!! (I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH THE CORRECT ANSWER!!!)

f(n) = f(n-1)+5, f(1)=-3
Given this recursive equation, what is the common difference?

Answers

Answer:-15n?????

Step-by-step explanation:

Answer: The answer is -3N=-8

Triangles are congruent if their corresponding sides are?

Answers

Answer:

Triangles are congruent if their corresponding sides are congruent using SSS postulate.

Answer:

Step-by-step explanation:

Triangles are congruent if their corresponding sides are equal.  If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.

Divide. (−20/35)÷12/20 What is the quotient?

Answers

Answer:

-20/21

Step-by-step explanation:

-4/7 x 20/12

-4/7 x 5/3

= -20/21

-20/21 is the answer

round 5,294.6 to the hunders place
round 45,469.23 to the hunders place
round 7,526.442 to the hunders place
round 492.3069 to the hunders place

Answers

Answer: hundreds or hundredths?

Step-by-step explanation:

Assuming you're rounding to the hundreds place, you should round your first number to 5,300.

Second number rounds to 45,500.

Third number rounds to 7,500.

Fourth number rounds to 500.

Answer:

Step-by-step explanation:

5,00045,0008,000500

Which expression has the same value as 36 ÷ 6 ⋅ 2
a. (36 ÷ 6) ⋅ 2
b. 36 ⋅ 6 ÷ 2
c. 36 ÷ (6 ⋅ 2)
d. 36 ÷ 2 ⋅ 6

Answers

36 divided by 6 = 6
6 • 2 = 12
So it is the same as (36 divided by 6) •2

Answer is a.
The answer is a because when you divide 36\3 it equals 6, then you multiply by 2 and get the same answer which is 12.

Factor the trinomial, and solve the equation first.

[tex]x^{2}[/tex] - 2x - 2

Answers

Answer:

The trinomial is not factorable with rational numbers but can be answered using the quadratic formula : (-b±√(b^2-4ac))/2a. The answer would be 1 ± (plus or minus) [tex]\sqrt{3} \\[/tex] (radical 3).

Step-by-step explanation:

I recommend studying the quadratic formula and remembering it. It can ALWAYS be used to solve any quadratic, rationally factorable or not. When in doubt with completing the square or factoring, fall back on the quadratic equation.

So here is what i got from your whatever but yeah tried to help✌️

Which expression has the same value as 7 − 6 ⋅ 3 + 2
a. (7 − 6) ⋅ 3 + 2
b. 7 − 6 ⋅ (3 + 2)
c. 7 − (6 ⋅ 3) + 2
d. (7 − 6) ⋅ (3 + 2)

Answers

Answer:

7 − (6 ⋅ 3) + 2

Step-by-step explanation:

7 − 6 ⋅ 3 + 2

PEMDAS says we need to multiply before we add and subtract

7 − (6 ⋅ 3) + 2

C, because it’s 6 times 3 in parentheses and your doing the 7 minus that plus the 2

3 = x/36

Solve x. Show working

Answers

Answer:

[tex] \sf \: x=108[/tex]

Step-by-step explanation:

3=x/36

Step 1: Multiply both sides by 36.

3=x/36(3)*(36)=(x/36)*(36)

108=x

Step 2: Flip the equation.

x=108

x=108 because
36•3= 36• x/36
36•3=x
108=x
x=108

Can someone please help me?
[tex]\frac{64x^{3}-{1} }{4x-1}[/tex]

Answers

Answer:

[tex] \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}[/tex]

Answer:

[tex]16x^2+4x+1[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{64x^3-1}{4x-1}[/tex]

Step 1

Factor the numerator of the given expression.

Rewrite 64 as 4³ and 1 as 1³:

[tex]\implies (4^3)x^3-1^3[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:[/tex]

[tex]\implies (4x)^3-1^3[/tex]

[tex]\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)[/tex]

Step 2

Replace the numerator in the given expression with the factored numerator from step 1:

[tex]\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}[/tex]

Cancel the common factor (4x - 1):

[tex]\implies 16x^2+4x+1[/tex]

Write an equation of the line in slope-intercept form.

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

What does this problem want us to find:

[tex]\hookrightarrow \text{The slope-intercept form}: y= mx + b[/tex]

m : slope b: y-intercept

Let's find the slope:

(x₁, y₁)  ⇒ 0,3)(x₂, y₂) ⇒ (4,2)

    [tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-3}{4-0} =-\dfrac{1}{4}[/tex]

Let's find the y-intercept:

 ⇒ the value of the y-coordinate when the x-coordinate value is '0'

    ⇒ thus it is '3'

Our equation is:

 [tex]y=-\dfrac{1}{4} x+3[/tex]    <=====  Answer

Hope that helps!

#LearnwithBrainly

     

Greetings from Brasil...

One way to solve this question is through a determinant.

| X     Y     1 |

| X₁    Y₁    1 |  = 0

| X₂    Y₂   1 |

as

(X₁; Y₁) = (0; 3)

(X₂; Y₂) = (4; 2)

then

| X   Y  1 |

| 0   3   1 |  = 0

| 4   2   1 |

4Y + X - 12 = 0

(2 to the power of 3 x 2 to the power of -1) divided by 2 to the power of 2

Answers

Answer:

1

Step-by-step explanation:

(2^3 x 2^-1) / 2^2

First, solve what's in the parentheses remembering that when two exponents have the same base and are being multiplied together, their exponents add together:

3 + (-1) = 2

(2^2) / 2^2

And when two exponents with the same base are being divided by each other, the exponents subtract:

2 - 2 = 0

(2^0)

And any number to the power of 0 equals 1:

(2^0) = 1

Hope this helps!

The answer is 1! I had the same question

Theresa's Book Barn sold $10,347 worth of books during September. In October, their sales were $12,115. How much higher were Theresa's book sales during October than in September? Explain how you got your answer.

Answers

Answer:

$1,768

Step-by-step explanation:

We know that Theresa's Book Barn sold $10347 worth of books in September, and $12,115 in October. Since we want to know how much higher the sales were in October than in September, we would have to subtract.

So, we would have to subtract the two numbers.

  12,115
- 10,347
    1768

Subtracting the two numbers gives us $1,768, which is the difference.

I hope this was semi-helpful-

1,768
I did 12,115-10,347 which equals 1,768

Evaluate: 42 − 12 ÷ 6
—————————————————
(6 − 3) × 4 − 7

Answers

Answer:

42 - 12 ÷ 6 = 40

(6 - 3) x 4 - 7 = 5

Step-by-step explanation:

First of all, when coming over to an equation with a division or multiplication sign, we first solve the division or multiplication first, then the subtraction or addition. So, 12 ÷ 6 = 2. Then, 42 - 2 = 40. And in the other one we must first solve what's in the parenthesis. So, 6 - 3 = 3. Then, we multiply, 3 x 4 = 12. Then subtract. 12 - 7 = 5.

Hope this helps :)

The answer is 40 to make you go

please explain in detail.

Answers

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

180 degree transformation.. each quadrant is 90 degrees

What is the standard form of

Answers

Answer:

[tex]5.45 * 100000[/tex]

Other:

[tex]545000[/tex]

Consider the blueprint an artist creates of the outline of a mural, where 1 unit represents 1 foot. The artist edits the blueprint of the art mural by transforming triangle LMN on the coordinate plane.



If the artist dilates triangle LMN by a scale factor of 3 about the origin, creating triangle L′M′N′, what are the coordinates of N′?

Responses

(−9,−3)

(−3,−3)

(−1,−13)

(−13,−1)

Answers

Answer:

-9-3 i think

Step-by-step explanation:

(-9-3) i believe the answer would be

Consider the rational number 3/11 (A What are the values of a and b in a)‾b when you use divisison to find the decimal form?

Answers

Answer:

The decimal form of this rational number is .

Step-by-step explanation:

a) Let  a rational number. From statement we understand that  represents the numerator, while  corresponds with the denominator of the rational number. Hence,  is 3 and  is 11.

b) The decimal form is obtained by dividing  by , we presented the step needed to determine the decimal form:

i) Multiply the numerator by 10:

Dividend: 30/Divisor: 11/Known result: 0. /Residue: N/A

ii) Multiply the divisor by 2 and subtract from the dividend:

Known result: 0.2 /Residue: 8

iii) Multiply the residue by 10:

Known result: 0.2 /Residue: 80

iv) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.27 /Residue: 3

v) Multiply the residue by 10:

Known result: 0.27 /Residue: 30

vi) Multiply the divisor by 2 and subtract from the residue:

Known result: 0.272/Residue: 8

vii) Multiply the residue by 10:

Known result: 0.272 /Residue: 80

viii) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.2727/Residue: 3

We have notice that the decimal form of  is a periodical decimal number. Hence, we conclude that decimal form of this rational number is .

Хз пжпжпжржржржржжржржржржрдрджржржржпдпдпддпдедеж

The school asked students to help decide what to name the school gym. Each student was given a list of six names and asked to choose one. What type of graph would be the most appropriate to graph the results?
A. bar graph
B. line graph
C. histogram
D. circle graph

Answers

Answer:A

Step-by-step explanation:

This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????

The answer is A because it would be the easiest.

86.
A 6-sided number cube is rolled. Find the probability of each
event. Write each answer as a fraction, a decimal, and a percent.
P(5)
a. 1, 1.0 , 100% c. 0, 0.0, 0%
_ _
b. 1/6, 0.16, 16.6% d. 1/8, 0.125, 12.5%

Answers

B because we are finding the probability of having 1 outcome out of 6 possible outcomes, which can be written as 1/6 and then changing it to percentage and decimal etc

Solve for z.

−1.2z−8.2>−9.7
Show the solution

Answers

Hello!

Inequality: [tex]-1.2z-8.2 > -9.7[/tex]

To solve, we need to add 8.2 to both sides of the inequality:

[tex]-1.2z-8.2+8.2 > -9.7+8.2\\-1.2z > -1.5[/tex]

Now to get our solution, we will need to divide both sides by -1.2:

[tex]\frac{-1.2z}{-1.2} > \frac{-1.5}{-1.2}\\[/tex]

Final answer:

[tex]\fbox{z} < \fbox{1.25}[/tex]

Hope this helps!

-1.2z-8.2, gt=-9.7 I don’t know

Help pls. I'll mark as brainlist.

Answers

Answer:1. height in feet and height in Inches

1 feet = 12 inches

So, it's proportional2. The number of cookies baked and the minutes in the ovenSo, it's not proportional3. One bread needs a fixed grams of flourSo, it's proportional4. Since s = vtSo, it's proportional5. One gallon of gasoline cost's a fixed prince.So, it's proportional

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

It is a consistent raise on the price for every number of gallons. For example, so it is proportional.
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