The point (-4, 1) is rotated 180 degrees counterclockwise using center (-3, 0). What are the coordinates of the image?

Answers

Answer 1

Answer: Coordinates of the image are (-2 , -1)

Step-by-step explanation:

The rule for 180° rotation counterclockwise is:

(x , y) ⇒ (-x , -y)

This means that to get the coordinates of a point rotated 180° counterclockwise, all you have to do is flip the signs of both the x and the y

Now, we are given the point (-4 , 1)

Applying the above rule:

[tex]( x image, y image) = (-(-4),-(1))[/tex]

[tex](x image, y image) =(-2, -1)[/tex]


Related Questions

Graph the function in your notebook. Determine whether the function is linear or nonlinear.

Answers

Answer:

It is linear because if all x values are different, it makes it linear.

solve the quadratic equation giving your answer to 3dp 3x^2+9x-10=0
please show workings out

Answers

Answer:

d= -1/px + 10/9px^2

Step-by-step explanation:

Kindly mark brainliest!!

What if i want my own room but there are six kids and only three rooms then what do i do
ps: its not a math question and what about the adults

Answers

Answer:

Ya gotta share

Step-by-step explanation:

you have to share a room i know it doesn’t seem fun but you could always make your own little section and have a fort there to have some privacy

What is the greatest common factor (GCF) of 40 and 50?
A.
10
B.
25
C.
200

Answers

Answer:

The GCF of 40 and 50 is

A 10

Answer: A

Because if u add 25 that goes into 50 not 40 u have to find the answer that goes to each number for the greater added therefore A 10    is the answer

Step-by-step explanation:

Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?

1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F

Answers

Answer:

option 1

as the sides were already given, A and D are the only way that the triangle can have SAS.

The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.

What is SAS (side angle side ) similarity theorem for two triangles?

The  SAS theorem states that if two triangles have a congruent angles and the sides that define the angle  are proportional, the two triangles are similar.

Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24

Then AB/ DE = 7/14 = 1/2

 and AC / DF = 12/24 = 1/2

∴ AB / DE = AC/ DF

Therefore the sides AB and AC are proportional to DE and DF

And for the application of SAS the angle defined by these pairs must be congruent.

AB and AC defines ∠A and DE and DF defines ∠D

Thus, ∠A must  be congruent to  ∠D so that SAS can be to applied to make the given triangles similar.

Therefore, option 1. ∠A ≅ ∠D  is correct option

Also, learn more about SAS similarity theorem from the link below:

https://brainly.com/question/22472034

#SPJ2

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

低于当地人民:或立场上有一些事情了!儿女情长的好了吗我想做出

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

PLEASE HELP ME ITS ALGEBRA 1 ANYONE PLEASE !!!

Answers

Answer:

answer of this question is r=0.94

Answer: oh god

Step-by-step explanation:

jade has 4 bags of chips each bag has x amount of chips. How many chips are in total?

Answers

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!​

Answers

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

Mary is going to have an outdoor party in 10 days. She wants to have her backyard pond covered in water lilies before the party, so she goes to the nursery to buy some water lilies. Mary gives the clerk the dimensions of her pond, and the clerk, knowing the growth rate of the water lilies that he stocks, calculates that if she purchases a single water lily, it will produce a population of ten thousand lilies that will completely cover the surface of the pond in 20 days. Mary reasons that if she buys two water lilies instead of one, she can meet her goal of having the pond surface covered in 10 days. Is there anything wrong with Mary's reasoning? How many water lilies will Mary need to buy to meet her goal?

Answers

Answer:

a. There is nothing wrong with Mary's reasoning b. 2 water lilies.

Step-by-step explanation:

a. This is because, she reasons that if she doubles the amount of water lilies she buys, it would take half the time it takes to produce 10,000 lilies. So, there is nothing wrong with Mary's reasoning.

b. Since it takes 1 water lily to produce 10000 lilies in 20 days, 1 water lily will produce x lilies in 10 days.

So, x = 10000 × 10/20 = 5000 lilies

So, 1 water lily produces 5000 lilies in 10 days.

So, x water lilies will produces 10000 lilies in 10 days.

So x = 10000 × 1/5000 = 2 water lilies

So, 2 water lilies will produce 10000 lilies in 10 days.

So, Mary needs 2 water lilies so she can meet her goal of having the pond surface covered in 10 days.

through: (3,3), parallel to y=8/3x+5

Answers

Answer:

(0,5)

Step-by-step explanation:

Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write the fraction in simplest fractional form.)

Answers

4/5 acres of the land were sold.
40* 1/2 = 20
20* 3/5 = 12
12+20= 32
32/40 = 4/5 simplified

Helppppppppppppppppppp

Answers

Answer:

∠KYR = 43 degrees

Step-by-step explanation:

1. We know that the entire angle equals to 90 degrees because it is a right angle.

First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90

3c + 64 + 5c + 82 = 90]

8c + 146 = 90

     - 146     -146

8c = -56

c = -7

Now we have to find the value of angle KYR so just plug in -7 for c

3(-7) + 64 = 43

Can get brainliest please?

Enter a range of values for x:
A
12
D
35°
20°
B
4X4
С
1

Answers

Answer:

The correct answer to the question is;

1 < x < 4

Step-by-step explanation:

The give parameters are;

ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°

Therefore, the two base angles are 62.5° each by definition of isosceles triangle

Given that the angle subtended by  4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;

4·x - 4 < 12

4·x < 12 + 4

∴ 4·x < 16

x < 16/4

x < 4

Therefore, the range is 1 < x < 4

the question is on the sheet ​

Answers

y=1/2x-5 is the answer

A baker sells bread for $4 a loaf and rolls for $1 each. The baker needs to sell $44 worth of baked goods by the end of the day.

Enter a linear equation that describes the problem.

Answers

4x+1y = 44
X = loaf, y=rolls

Eddie is playing hide-and-seek with Harold and Gavin. Harold is hiding 12 meters south
of Eddie, and Gavin is hiding 16 meters east of Harold. How far apart are Eddie and Gavin?

Answers

Eddie and Gavin are 40 meters apart.

q1) find 80% of £120
q2) find 60% of £980
PLease show working thank uh

Answers

q1, 96£ q2, 588€

Step-by-step explanation:

q1, 120€×80/100 the zeroes are cancelled then 12×8=96€

q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€

Given g(x) = –2 – 1, solve for a when g(x) = 3.
Answer:
Submit Answer

Answers

Plug in 3 for x
This means - 3 - 1
Which is -4.
Hope I helped :)

if 60 of a number is 90 what is the number% of a number is 180 what is 150% of the number of beads. Hurry, it's for a test

Answers

Answer:

If 60% of a number is 90.

Suppose that the number is N.

60% of that number can be written as:

(60%/|00%)*N = 0.6*N = 90

Now we can solve that for N

0.6*N = 90

N = 90/0.6 = 150.

for the second part, we have that:

% of a number is 180, what is the 150%?

We do not have the first percentage, so i could not really answer this, so lets do it in a general way.

A% of a number N, is equal to 180.

(A%/100%)*N = 180

(A/100)*N = 180

Then:

N = 180*(100/A).

Now we want to compute the 150% of this number, this will be:

(150%/100%)*N

0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A

Where A will depend on the first percentage.

What expression is equivalent to 4(4d)

Answers

Answer:16d

Step-by-step explanation:

For Anthony’s birthday his mother is making cupcakes for his 12 friends as daycare. The recipe calls for 3 1/2 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony‘s mother only has one cup of flour. Is there enough flour for each of his friends to get a cupcake.

Answers

Answer:

yes because he has 12 friends and the recipe makes 2 1\2 dozen cupcakes.

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

whats 500x200÷90+35​

Answers

Answer:1146.11111

500*200 = 100,000

100,000 / 90 = 1111.11111

1111.11111+35 = 1146.11111

Guys please answer this. Im in dire need of your help! ):

why can we write 1/a^n=a^-n?

Answers

Answer:

Try to understand by substitute a number in a and n.

Step-by-step explanation:

For example,

a=2, n=1

a^n= 2^1= 2

[tex]\frac{1}{2}[/tex] = 0.5

2^(-1)=0.5

Step-by-step explanation:

[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]

~Math Induction

[tex] \: [/tex]

—Prove that n = 1

[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]

[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]

[tex] \: [/tex]

—Prove that n = k

[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]

[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]

[tex] \: [/tex]

—Prove that n = k + 1

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]

[tex] \: [/tex]

Proved that 1/a^n = a^-n

Choose the fraction pair that is Not equivalent.


¾ and 75/100


-5/10 and -3/6


20/6 and 3 2/20


-1 1/3 and -4/3

Answers

The third one my dear sir!

The local newspaper has letters to the editor from 10 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?​

Answers

Answer:

The local newspaper has 250 readers in total

Step-by-step explanation:

Given that

Letter to the editor = 10

Also it is given that 10 is the 4% of total readers of the newspaper.

Let x be the number of readers of the newspaper

It can be written as:

[tex]10 = 4\%\ of\ x[/tex]

Converting the percentage into decimal

[tex]10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250[/tex]

The newspaper has 250 readers.

Hence,

The local newspaper has 250 readers in total

A tent is put up with 7 poles. How many tents can be put up with 200 poles?

Answers

Answer:

28

Step-by-step explanation:

200/7

=28.5714285714

Therefore, at most 20 tents can be put up.

PLS GIVE BRAINLIEST

Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.
What was the interest rate?

Answers

Answer:he account pays 5% simple interest per year. ... 6) Neil invested £8000 in a savings account for 2 years. He earned £640 simple interest over the two years.

Step-by-step explanation:

Identify the function shown in this graph ​

Answers

Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At what rate does this bamboo grow? Simplify your answer and write it as a proper fraction, mixed number, or whole number. centimeters per day

Answers

Answer:

90 centimetres per day

Step-by-step explanation:

Given that:

One of the Bamboo species growth can be seen.

Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm

To find:

The growth per day in centimetres as a proper fraction, mixed number or whole number.

Solution:

If we are given that:

The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.

Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.

Formula can be written as:

Growth per day = [tex]\frac{y}{x}[/tex]

We are given that:

[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]

Putting the values, we get:

[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]

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