The endpoints of AB are A(4,3) and B(1,1). What are the coordinates of A’’ after the image has been translated (x,y)—> (x-5,y-1) and rotated 180 degrees about the origin?

Answers

Answer 1

Answer:

  A"(1, -2)

Step-by-step explanation:

In addition to the translation transformation given, you are asked to transform the figure further by rotating it 180° about the origin. The translation for that is ...

  (x, y) ⇒ (-x, -y)

Then the composition of the two transformations is ...

  (x, y) ⇒ (-(x -5), -(y -1)) = (-x +5, -y +1)

__

Applied to the given point(s), we have ...

  (x, y) ⇒ (-x +5, -y +1)

  A(4, 3) ⇒ (-4 +5, -3 +1) = A"(1, -2)

  B(1, 1) ⇒ (-1 +5, -1 +1) = B"(4, 0)

The coordinates of A" after translation and rotation are (1, -2).


Related Questions

An athlete who participates in team sports tend
A. to have narrow concentration.
B. to be an extrovert.
C. to have more anxiety.
D. to be an introvert.

Answers

Answer:

Option B is the answer

am not really sure though

What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel?

Answers

Answer:

A Rectangle should fit all these rules.

Please help!! Will give brainliest! :)

Answers

Answer:

f(-2) = -3

Step-by-step explanation:

Step 1. Find equation

Step 2. Plug (-2) into f(x)

m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2

b, y-intercept = (0, -2)

y = 1/2x - 2

f(-2) = 1/2(-2) - 2

f(-2) = -1 - 2

f(-2) = -3

If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3

BRAINLIEST please if this helped!

Please help me thank you!!

Answers

Answer:

Q1: 6

Med: 11

Q3: 13

Box plot: Place the far left line on 2 and the far right line on 14 to represent the minmum and maximum. For the box, drag the middle line inside to 11, keep the left side of the box on six and drag the right side to 13. It should look like the picture below when you're done.

Step-by-step explanation:

hope this helps!

A committee of three men and two women can be formed from a group of nine men and eleven women in how many different ways.

Answers

Answer:

4620.

Step-by-step explanation:

The number of combinations of 3 men from 9

= 9!/(9-3)!3!

=  9*8*7/3*2*1

= 84 ways.

The number of combinations of 2 women from 11

= 11!/11-2)!2!

=  11*10/2*1

= 55 ways.

So the total number of ways  of men and women in the committee

= 84*55

= 4620.

Perform the given operation :
(1+5i) (5+3i)

Answers

Answer:

-10 + 28i

Step-by-step explanation:

Given ↓(1+5i)(5+3i)

To Find ↓(1+5i)(5+3i)

Calculations ↓

Multiply the binomials ↓

1*5+3i+(5i*5)+(5i*3i)

Simplify ↓

5+3i+25i+15i²

Combine like terms ↓

5+28i+15i²

Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓

5+28i-15

28i-15+5

28i-10

So the final ans is 28i-10

hope helpful ~

4) True or False? Our town is growing with a doubling time of 40 years, so its
population will triple in 120 years.

Answers

Answer:
False

Explain:

NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compounded quarterly. ​

Answers

Answers:

a) See the table below

b) The equation is [tex]y = 32000(1.01125)^x[/tex]

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\[/tex]

Repeat for x = 1

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\[/tex]

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

b)

The template for any exponential equation is [tex]y = a(b)^x[/tex]

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from [tex]y = a(b)^x[/tex] to [tex]y = 32000(1.01125)^x[/tex]

-----------------------

c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\[/tex]

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principal amountr = annual interest rate (as a decimal)n = number of compounding periods per unit of timet = time in decimal years (e.g. 6 months = 0.5 yrs)

Given:

P = $32,000r = 4.5% = 0.045n = 4 (compounded quarterly)t = 0.25x

[tex]\implies y=32000(1+\frac{0.045}{4})^{4 \times 0.25x}[/tex]

[tex]\implies y=32000(1.01125)^x[/tex]

Part (a)

[tex]\begin{tabular}{|c | c |}\cline{1-2} \bf Quarterly & \bf \$ \\\cline{1-2} 0 & 32000.00\\\cline{1-2} 1 & 32360.00\\\cline{1-2} 2 & 32724.05\\\cline{1-2} 3 & 33092.20\\\cline{1-2} 4 & 33464.48\\\cline{1-2} --- & --- \\\cline{1-2} 20 & 40024.02\\\cline{1-2}\end{tabular}[/tex]

Part (b)

[tex]y=32000(1.01125)^x[/tex]  (where x is the number of quarterly periods)

Part (c)

$40,024.02

Part (d)

see attached

help my sis needs help asap

Answers

Answer:

152 in^2

Step-by-step explanation:

If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.

80 + 72 = 152 in^2

Answer:

It should be D

Step-by-step explanation:

I think it’s D since that’s what I got

find all the fraction between 0 and 1​

Answers

Answer:

Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
__________________
Hope this helped! Have a nice day!
Please give Brainliest when you can.
__________________
-Dont let the Pirates get ya!
-Jaron, King of Carthya.

Suppose that$ 7000 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.

Answers

Answer:

1) 7420

2) 7865.5

Step-by-step explanation:

The Formula for Compound Intertst is Amout(rate/100+1)^number of years

7000(.06+1)^1

7000(.06+1)^2

One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution
for each equation?
I = - 4 + 51
I = 4 - 5
I = 5 + 4i
I = -5 - 4
I = 4 + 51
H
II
5 - 4
II
- 51
Reset
Next

Answers

Answer:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Step-by-step explanation:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Find the two that are the same with the terms swiched around and you get the answer.

Solve the equation −9f 2 + 153 = 0. Round to the nearest hundredth.
f = ±3.87
f = ±1.96
f = ±5
f = ±4.12

Answers

Answer:

Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Step-by-step explanation:

Step 1:  Subtract 153 from both sides

[tex]-9f^2 + 153 = 0[/tex]

[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]

[tex]-9f^2 = -153[/tex]

Step 2:  Divide both sides by -9

[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]

[tex]f^2 = 17[/tex]

Step 3:  Square root both sides

[tex]\sqrt{f^2} = \sqrt{17}[/tex]

[tex]f =[/tex] ± [tex]4.12[/tex]

Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.

Answers

Answer:

The data is skewed left

Less than

Median is 22

mean is 20.2

Step-by-step explanation:

median: 15,16,18,19,22,22,22,22,23,23

mean: 15+16+18+19+(22x4)+(23x2)=

31+37+88+46=

68+134=202÷10=20.2





What number is halfway between
1.7 and 3.2 ?

Answers

Answer:

2.5

Step-by-step explanation:

i am not absolutely sure but according to me it is right

ANSWER:

2.45

Expalnation:

If you add/subtract 0.75 to the corrct side, you'll get 2.45.

3.2-2.45=0.75

2.45-1.7=0.75

Hence, this is the corrct answer.


56. How many tangent lines to the curve [tex]y=x /(x+1)[/tex] pass through the point (1,2)? At which points do these tangent lines touch the curve?

Answers

There are 2 tangent lines that pass through the point

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

and

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

Explanation:

Given:

[tex]y=\frac{x}{x+1}[/tex]

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

[tex]y=m(x-1)+2[/tex] [tex][1][/tex]

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:

[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]

[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]

[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]

[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]

Substitute equation [2] into equation [1]:

[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]

Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]

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

Solve for x:

[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]

[tex]x^2+x=x-1+2x^2+4x+2[/tex]

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

[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]

There are 2 tangent lines.

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

and

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

A book sold 33,100 copies in his first month of release suppose is represents 7.6% of the number of copies sold to date how many copies have been sold to date?

Answers

Answer:

2515 number of copies sold to date

On the coordinate plane below, what is the length of AB?

Answers

Answer:

Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)

15!!! I hope this helps :)

Is there any people who can solve this question?

Answers

First you want to get the total number of students, you get this my adding all of the responses, 98. Then because a is asking for the chance of the student liking country or tacos we add those two categories and put it over 98, 77/98. For b they are asking for people who don’t prefer jazz (people who prefer country) To get this you will put the total of people who don’t prefer jazz over 98, 32/98

find the value of a and b in the given figure​

Answers

Answer:

a = 60°

b = 3cm

Step-by-step explanation:

Congruent angles

Parallel/congruent sides

BRAINLIEST please if this helped!

Answer:

a=120 b=3

Step-by-step explanation:

For A you use 180-60 so you will get 120 for answer.

For B line PQ is parallel to line SR so 3 will be the answer

PLEASE ANSWER THESE I WILL GIVE BRAINLIEST

I need them for math
thank you!!

Answers

Answer:

I believe 20. is (0,0)

Step-by-step explanation:

Sorry if I'm mistaken, I don't know number 18. though. I'm terribly sorry. I hope you figure it out soon and you have an amazing day! ^^ <3

1. At the gym on Monday, Larry is told to up his weight on the bench-press by 15% from last week. Last week he was bench-pressing 200 pounds. How many pounds should he bench-press this week?​

Answers

Answer:

300 lbs

Step-by-step explanation:

We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.

Rewrite the fraction as a decimal.
{57}{5}= 5 57 ​

Answers

Answer: 11.4

Step-by-step explanation:  In the fraction 57/5, 57 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 57/5 is same as "57 divided by 5" or "57 ÷ 5".

When we calculated 57 divided by 5, we found that 57/5 in decimal form is:57 ÷ 5 = 11.4 Therefore, the decimal form of 57/5 is 11.4

Hope I helped <3

2. Mr. Karr resurfaced a sidewalk in the park that was 125.065 meters long. How is this number written in words? one hundred twenty-five and sixty-five hundred thousandths one hundred twenty-five and sixty-five thousandths one hundred twenty-five and sixty-five hundredths D. one hundred twenty-five and sixty-five tenths​

Answers

Answer:

one hundred twenty-five and sixty-five thousandths

Step-by-step explanation:

The 125 part is simply one hundred twnty five.

The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.

Answer: one hundred twenty-five and sixty-five thousandths

Jordan spent $18. At the used bookstore.each book cost $0.45 how many books did Jordan buy?

Answers

Answer: Jordan bought 40 books because 0.45 x 40 = 18

I hope that I was helpful ^^

The chart contains 5 red marbles, 11 yellow marbles, 7 blue, 10 green, and 5 brown

P(green)=

Answers

Answer:

5

19

Step-by-step explanation:

Is the correct answer to the probability

100 POINTS WILL MARK BRAINLIEST DONE BY 9:00 attachment included
Solve the linear equations below. Show ALL your work AND circle the type of solution you found! (10 points)

Answers

Answer:

1. No sol.

2. One Sol. x=4

3. One Sol. w=22 1/2

Step-by-step explanation:

1.

Group like terms:

4+3p=6p-3p+5

Add similar elements (6p-3p=3p):

4+3p=3p+5

Subract 4 from both sides:

4+3p-4=3p+5-4

Simplify:

3p=3p+1

Subtract 3p from both sides:

3p-3p=3p+1-3p

Simplify:

0=1

There is no solution.

2.

One Sol. x=4

Switch sides:

3x-2=10

Add 2 to both sides:

3x-2+2=10+2

Simplify:

3x=12

Divide both sides by 3:

3x/3=12/3

Simplify:

x=4

There is a solution.

3.

One Sol. w=22 1/2

Subtract 7 from both sides:

2/3w+7-7=22-7

Simplify:

2/3w=15

Multiply both sides by 3:

3*2/3w=15*3

Simplify:

2w=45

Divide both sides by 2:

2w/2=45/2

Simplify:

w=22 1/2

There is one sol.

1. What is the surface area of the sphere below?
12 cm

Answers

Answer:

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We are given a radius of 12

SA = 4 pi ( 12) ^2

SA = 4 pi * 144

SA = 576 pi

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

The equation of a circle is given below.
(x - 5)² + (y + 2)² =81/4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units

Answers

Answer:

Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2

Step-by-step explanation:

where  a  and b are the center off sets in the x and y directions , repspectively.  

(x - 5)² + (y + 2)² =81/4

So you now know,  the center is at   (x,y) = ( 5, 2)

and the radius is   [tex]\sqrt{\frac{81}{4} }[/tex]  ,  why is is square rooted ?  you ask.

because in our formula above it's   r^2  .. so we need to square root it to find it's value.

[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex]  =  [tex]\frac{9}{2}[/tex]  =  4.5  rounded to two decimals    4.50 but not necessary

50 points each question. Please help. How do I solve?

Answers

Answer:

I'm not sure if it's correct

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