What are the vertices of the image r(90°, O) (△BCD)?

A. B'(−3, −3), C'(−1, 4), D'(2, 0)
B. B'(3, 3), C'(1, −4), D'(−2, 0)
C. B'(3, −3), C'(1, 4), D'(0, 2)
D. B'(−3, −3), C'(−1, −4), D'(0, −2)

What Are The Vertices Of The Image R(90, O) (BCD)? A. B'(3, 3), C'(1, 4), D'(2, 0) B. B'(3, 3), C'(1,

Answers

Answer 1

Answer:

The correct option is;

A. B'(-3, -3), C'(-1, 4), D'(2, 0)

Step-by-step explanation:

The given coordinates of the vertices triangle ΔBCD, are;

B(-3, 3), C(4, 1), D(0, -2)

The transformation to be performed is r(90°, 0) (ΔBCD) which is a 90 degrees counterclockwise rotation about the origin

The rule for transformation of a geometric figure by rotation of 90 degrees counterclockwise is given as follows;

The coordinates of the preimage (x, y), the coordinates of the image  (-y, x)

Therefore, we have;

The preimage B(-3, 3), the coordinates of the image after 90 degrees counterclockwise rotation is B'(-3, -3)

Similarly, we have;

The preimage C(4, 1), the coordinates of the image after 90 degrees counterclockwise rotation is C'(-1, 4)

For the point D, we have;

The preimage D(0, -2), the coordinates of the image after 90 degrees counterclockwise rotation is D'(2, 0)

Therefore, the correct option is B'(-3, -3), C'(-1, 4), D'(2, 0).


Related Questions

Plz I need all the help I can get!

Fill in the blanks to continue the patterns:

Answers

Answer:

look in step by step

Step-by-step explanation:

12, 15, 18, 21, 24, 27, 30, 33, etc.

you are increasing by 3

18, 24, 30, 36, 42, 48, 54, 60, 66, 72

you are increasing by 6

5, 9, 13, 17, 21, 25, 29, 33, 37

you are increasing by 4

32, 16, 8...    4, 2, 1

you are decreasing by half

Answer:

A, 12,15    B, 15,21    C, 5,17    D, 32,16

Step-by-step explanation:

for A the rule is count by 3s

for B the rule is add 3 but skip every 2nd number

for C the rule is add is add 4

for D the rule is divide 2

hope this helps :)

- by chance may I get brainliest

Solve for both and you'll get brainliest
List them as photo 1 and photo 2

Answers

Answer:

Photo 1: x=5 y=-2

Photo 2: x=11/5 y=4

Step-by-step explanation:

Photo 1-

2x + 3y = 4

              x = 2 − 3/2y

              y = 4/3 - 2/3x

2x + 3y = 4

              x = 2 - 3/2y

              y = 4/3 - 2/3x

Photo 2-

5x + 3y = 23

              x = 2 − 3/2y

              y = 4/3 − 2/3x

3y = 15x - 21

              x = y/5 + 7/5

              y = 5x − 7

             

Describe the graph of the line y=15. Is it horizontal or vertical? Where does it cross the axis? How do you know?

Answers

Answer:

It is a Horizontal line at the mark y= 15 on the graph. It does not cross the X-axis as it is a horizontal line above the origin.

Step-by-step explanation:

Plz help me out ASAP!!!!!!!

Answers

Answer:

Step-by-step explanation:

A: +2

B: +2

C: -25

D: x3

In science class, Gladys did an experiment with an unknown solid. She started with 11 grams of the solid. During the experiment, the change in the mass of the solid was -4 grams. What was the final mass of the solid?

Answers

Answer:7

Step-by-step explanation:11-4=7

бу - 2y = 3y+2
i need help

Answers

Answer:

6y-2y=3y+2

4y=3y+2

4y-3y=2

1y=2

y=2

Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g(x)=-18(1/3)^x+2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, and only function f is negative. D. Both functions are increasing, but function g increases at a faster average rate.

Answers

Answer: I think it's D.

Step-by-step explanation:

I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.

Both functions are increasing, but function g increases at a faster average rate.

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

What is an increasing function?

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume [tex]f(x)=ab^x+c[/tex]

at x=0, f(0)=-10

So, [tex]-10=a+c[/tex]

Similarly, by satisfying the above table in the f(x)

[tex]f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}[/tex]

[tex]f'(x) > 0[/tex]

So we can say that f(x) is an increasing function.

[tex]g(x)=-18(\frac{1}{3} )^x+2[/tex]

[tex]g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]

[tex]ln\frac{1}{3} < 0[/tex]

So, [tex]g'(x) > 0[/tex]

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) [tex]g'(x) > f'(x)[/tex]

So, g increases at a faster average rate

Thus,  Both functions are increasing, but function g increases at a faster average rate.

To get more about increasing functions visit:

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If f left parenthesis x right parenthesis equals 2 x minus 4 and g left parenthesis x right parenthesis equals negative 5 x plus 6, then what is f(g(2))?

Answers

The value of the function f(g(2))  is: f(g(2)) = -12

Here,

To find the value of f(g(2)),

we first need to find the value of g(2), and then use that result as the input for the function f.

Given:

f(x) = 2x - 4

g(x) = -5x + 6

Step 1: Find g(2)

g(2) = -5(2) + 6

g(2) = -10 + 6

g(2) = -4

Step 2: Use the result g(2) as the input for f(x)

f(g(2)) = f(-4)

f(x) = 2x - 4

f(-4) = 2(-4) - 4

f(-4) = -8 - 4

f(-4) = -12

Therefore, f(g(2)) = -12.

To learn more on function click:

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1002 - ______ =711 982 - _______= 405 2005 - ______= 970 610 x ____= 2240 ______ x 1000 = 250000 _______ x 4 = 8620 200 x _______ = 40000 ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642? ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643? ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640? ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420? ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?

Answers

Answer:

1002 - 712984 =711 982 - 4763987= 405 2005 - ______= 970 610 x 0.00230782703 = 2240.

250 x 1000 = 250000

2155050 x 4 = 8620 200 x 0.00464026356 = 40000

Step-by-step explanation:

a) i) 1002 - ______ =711 982

= 1002- x = 711982

= 1002 - (-711982) = x

= 712984

ii) 711 982 - _______= 405 2005

711982 - x = 4052005

x = 711982 -(- 4052005)

x = 4763987

iii) 970 610 x ____= 2240

2240 ÷ 970610 = 0.00230782703

iv) ______ x 1000 = 250000

= 250000 ÷ 1000

= 250

v) _______ x 4 = 8620 200

8620200 ÷ 4 = 2155050

vi) 8620 200 x _______ = 40000

= 40000 ÷ 8620200

= 0.00464026356

b) ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642?

x ÷ 2 = 8642

x = 8642 × 2

x = 17284

c) ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643?

x ÷ 3 = 8643

x = 8643× 3

x = 25929

d) ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640?

x ÷ 5 = 9640

= 9640 × 5

= 48200

e) ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420?

= x ÷ 5 = 6420

= x = 6420 × 5

= x = 32100

f) ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?

= x ÷ 20 = 2000

= x = 2000 × 20

x = 40000

y= 2x-1
3x-y=-1
Shouw ur work cuz im dumb and i need help plz

Answers

Answer:

ur not dumb but i think its b

Step-by-step explanation:

What are these expressions like in words and numbers please answer if you know simple

Answers

1.) 4(x-7)
The difference = subtraction; put what comes after the multiplication( or whatever type of math) in parenthesis if you’re multiplying by another equation (ex. 5(2-5) )
2.) 4x-7
Less than= subtraction
3.) 4x+7
Sum=addition
4.) 7-4x
Minus= subtraction , times= multiplication

Hope this helps!

Which equation has infinitely many solutions?
1. 12 + 4x = 6x + 10 – 2x
2. 5x + 14 – 4x = 23 + x – 9
3. X + 9 – 0.8x = 5.2x + 17 - 8
4. 4x – 2x = 20

Answers

the equation that has infinitely many solutions would be 3

Which of the following ur mum

Answers

Answer:

lol thanks for the points

Step-by-step explanation:

Answer:

what does that mean

I've got free points...:D

In Rebecca's kennel, 3/4 of the dogs are poodles. If 9/10 of the poodles are white, what fraction of the dogs in the kennel are white poodles?

Answers

Answer:

66/80 = 33/40

Step-by-step explanation:

I think this is right sorry if its not :)

66/80 30/40 that is that answer for that question ‍♀️

HELPPP THIS IS FOR TODAY ​

Answers

Answer:

1: 15

3:56

4:35

5:56

6:61

Step-by-step explanation:

What u need to do is start with the lowest number of Wave Heights like I did above and then just graph it that way. gud luck bebs (:

May I plz have  Brainliest?

Bailey has 45 minutes to exercise. It takes Bailey 3 minutes to jog around the track and 5 minutes to stretch. She jogs 6 laps around the track and stretches 2 times. Write and evaluate an algebraic expression to find the amount of time Bailey has left. Use j for the number of laps she jogs and s for the number of times she stretches.

Answers

Answer:

a) Time left = [45 - (3j + 5s)] minutes

b) 17 minutes

Step-by-step explanation:

a) Using j for the number of laps she jogs and s for the number of times she stretches. Since Bailey has a total of 45 minutes to complete his exercise, then;

Time left = [45 - (3j + 5s)] minutes

If she jogs 6 laps and stretches 2 times , then;

Time left = [45 - (3j + 5s)]

b) Where j = 6 and s = 2,

Time left = 45 - (3(6) + 5(2))

              = 45 - (18 + 10)

              = 45 - 28

              = 17

Amount of time Bailey has left is 17 minutes.

What is 71,000,000 converted to scientific notation?
A. 71 x 100,000
B. 7.1 x 100,000
C. 7.1 x 10-7
D. 7.1 x 107

Answers

Answer:

7.1 × 10 7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 1010. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:  D)  [tex]7.1 \times 10^7[/tex]

Explanation:

Place the decimal point between the first two digits of the given number. Erase everything after the '1'. So we have 7.1

To get back to 71,000,000 we would need to move the decimal point 7 spaces to the right

So that's why [tex]7.1 \times 10^7 = 71,000,000[/tex]

If the exponent was -7, then we would move the decimal point 7 spaces to the left.

If A= arcsin(-4/5) in Quadrant IV and B=arctan(5/12) in Quadrant III, what is the values of tan(arcsin(-4/5)+arctan(5/12))? ASAP please...

Answers

Answer:

-33/56

Step-by-step explanation:

suppose: A,B are the 2 angles of a triangle

we have: A = arcsin[tex]\frac{-4}{5}[/tex]

               B = arctan [tex]\frac{5}{12}[/tex]

=> sin A = [tex]\frac{-4}{5}[/tex] => cos A = [tex]\sqrt{1-\frac{(-4)^{2} }{5^{2} } } =\frac{3}{5}[/tex] (because A is in quadrant IV)

    tan B = [tex]\frac{5}{12}[/tex]

have:

[tex]1+ cot^{2}B=\frac{1}{sin^{2}B } => 1+\frac{1}{tan^{2} B}=\frac{1}{sin^{2}B } \\=> 1+\frac{1}{\frac{5^{2} }{12^{2} } } =\frac{1}{sin^{2}B }\\ => sin^{2}B=\frac{25}{169}[/tex]

because B is in quadrant III => [tex]sin B=-\sqrt{\frac{25}{169} }=\frac{-5}{13}=>cosB=-\sqrt{1-\frac{5^{2} }{13^{2} } }=\frac{-12}{13}[/tex]

tan(arcsin(-4/5)+arctan(5/12)) = tan( A + B)

but A,B are the 2 angles of a triangle => tan(A + B) = [tex]\frac{sin(A+B)}{cos(A+B)}[/tex]

have: sin(A+B) = sinA.cosB + cosA.sinB = [tex]\frac{-4}{5}.\frac{-12}{13} +\frac{3}{5}.\frac{-5}{13}=\frac{33}{65}[/tex]

cos(A + B) = cosA.cosB - sinA.sinB =[tex]\frac{3}{5}.\frac{-12}{13}-\frac{-4}{5}.\frac{-5}{13}=\frac{-56}{65}[/tex]

=> tan(A + B) = [tex]\frac{33}{65}:\frac{-56}{65}=\frac{-33}{56}[/tex]

Answer:

pie/6

Explaniation:

just took the test on k12

Still can’t get this right please help

Answers

The answer is option 3

Answer:

D. y = (3/4)x + 10

Step-by-step explanation:

since it has to be in a formula of y = mx + b, it can't be a or b

y - 4 = 3/4 (x + 8)

y - 4 = (3/4)x + 6

y = (3/4)x + 10

what is 3/10 multiplied by 2/3?

Answers

Answer:0.2

Step-by-step explanation:

Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining

eggs to his dogs.

Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.

Answers

Answer:

E = 16 ≤ x ≤ 23

Step-by-step explanation:

Number of eggs laid per week = between 18 and 25

Let x = exact number of eggs laid

Using inequality :

18 ≤ x ≤ 25

Number of eggs Pat eats = 2

18 - 2 ≤ x ≤ 25 - 2

Eggs left after pat eats 2 of the eggs :

16 ≤ x ≤ 23

Hence,

Eggs eaten by pat's dogs :

E = 16 ≤ x ≤ 23

A one year gym membership costs $160. A registration fee of $28 is paid up front and the rest is paid monthly. Adding the variable. Let x =

Answers

Answer:

here's an example to help you out man Let n = how much each new member must pay each month.

$160 - $28 = $132

n = $132 ÷ 12 months in a year

n = $11

You can also look at it this way:

n = (160 - 28)/12

Math Help
Thanks
Brainlest will be awarded

Answers

Answer:

x=24

Step-by-step explanation:

you reduce the numbers making it 1/7 multiplied by 7x = 24, x will end up being 24

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

Which is an equivalent equation solved for y?

Answers

Answer:

y = a ÷ (πx)

Step-by-step explanation:

An equivalent equation solved for y is:

y = a/πx

What is an equation?

An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.

The formula a = xy, where x and y are the halved lengths of the ellipse's biggest and smallest diameters, may be used to calculate the area, a, of an ellipse.

Starting from the formula a = πxy, we can rearrange it to solve for y:

a = πxy

Dividing both sides by πx, we get:

a/πx = y

y = a/πx

Therefore, an equivalent equation solved for y is:

y = a/πx.

To learn more about the equation;

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3 f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h ( x ) = 2 x 3 + 8 h(x)=2 3 x ​ +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h ( f ( x ) ) h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of x xx. h ( f ( x ) ) = h(f(x))=h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals

Answers

Answer:

[tex]h(f(x)) = 18x -22[/tex]

Step-by-step explanation:

Given

f (x) = [tex](3x-5)^3[/tex]

[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]

We are to find the composite function [tex]h(f(x))[/tex]

[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]

To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:

[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]

If x=4 and 4x+9=y then (4(4)+9=y. This is an illustration of which property

Answers

Answer:

pretty sure commutative property lol

Step-by-step explanation:

Ms. Kent wants her students to learn more about the size of the Statue of Liberty. She brings in a scale model of the statue to show the class.


Ms. Kent says that every 2 inches on the model represents 25 feet on the actual statue.

What is the height of the actual Statue of Liberty, in feet, from the tip of the torch to the bottom of the pedestal? Show your work.

Answers

Answer:

27 inces will be the answer

Step-by-step explanation:

consider g(×)=5×-12. For what interval(s) is g(×) positive? negative?​

Answers

Answer:

negative

Step-by-step explanation:

Jake's mom buys pizza for him every time he completes 15 Imagine Math Lessons. Brandon's mom buys cookies for him every time he completes 9 Imagine Math Lessons. How many lessons will they have completed when they earn pizza and cookies at the same time?

Answers

Answer:

45 lessons

Step-by-step explanation:

Here, we want to know the number of lessons that both of them would have completed when they earn pizza and cookies at the same time

From the question, we are told that they earn cookies and pizza when they complete 9 and 15 lessons respectively.

So to know the number of lessons completed, we need to find the lowest common multiple of the number of cookies and the numbers of pizza

That will be lowest common multiple of 9 and 15

This is 45

what is the value of x in the equation 1.5 x+9.1 -2.4=-2.4

Answers

Answer:

X = -9.1

Step-by-step explanation:

Add 9.1 and -2.4 together to get

x + 6.7 = -2.4

subtract 6.7 from both sides to get

x = -9.1

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