The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin? ​

Answers

Answer 1

The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin

Answer: (-1,7)

Answer 2

The coordinates of the image of the point P(7, 1) after 90° rotation about the origin is P'(-1, 7).

What is Geometric Transformation?

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

One of the transformation is Rotation.

Rotation is the type of transformation where the image is the resultant of transformation made by rotation to a certain degree.

A point (x, y) when rotated 90° counterclockwise results in another point (-y, x).

Here the given point is (7, 1).

After rotation through 90°, the point is (-1, 7).

Hence the image has the coordinates (-1, 7).

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Related Questions

The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number and let y represent the second number. If the table will be used to guess and check, what should the equation be at the top of the last column? Numbers у x+y=44 ? O4 = 3-4x O y=4X-3 Oy=4-3x O Y=3X-4​

Answers

Answer:

O4 = 3-4x

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

got 100 on test on edge

6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)

Answers

Answer:

D'(-2, -1)

E'(5, 5)

Step-by-step explanation:

DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).

These points are translated by the rule to give the translated image as D'E',

(x, y) → (x + 1, y + 3)

By following this rule,

D(-3, -4) → D'(-3 + 1, -4 + 3)

             → D'(-2, -1)

E(4, 2) → E'(4 + 1, 2 + 3)

          → E'(5, 5)

Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).

The sum of two numbers is negative sixteen. One number is seven times the other. Find the numbers

Answers

The two numbers are [tex]-2[/tex] and [tex]-14[/tex].

It is given that,

Sum of two numbers is negative sixteen.One number is seven times the other.

Explanation:

Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].

Sum of two numbers is negative sixteen.

[tex]x+7x=-16[/tex]

[tex]8x=-16[/tex]

[tex]x=\dfrac{-16}{8}[/tex]

[tex]x=-2[/tex]

The value of other number is:

[tex]7(-2)=-14[/tex]

Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].

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the sum of 4/15 and 3/75 multiplied to 4/15 ​

Answers

Answer:

92/1125

Step-by-step explanation:

How many grams are in 2.34ml????
2,340 g
234 g
.00234 g
.0234 g

Answers

Answer:

2.34 grams

Step-by-step explanation:

In this problem, we need to find how many grams in 2.34mL. To solve the problem, we must know the relationship between grams and millilitre.

We know that,

1 milliitre = 1 gram

Hence,

2.34 mL = 2.34 grams.

The area of a football field is 57,600 square feet. If the width of the field is 4/9 the length, what is the length of the football field ?

Answers

Answer:

360 ft

Step-by-step explanation:

GivenArea = 57600 ft²Length = xWidth = 4/9xSolutionA = lwx*4/9x = 576004/9x²= 57600x² = 57600*9/4x² = 129600x = √129600x = 360 ft

Multiply 16.852 × 0.86 =

Answers

Answer:

The Answer is 14.49

Step-by-step explanation:

Because you have the use paper or calculator(if affordable) then there will be more numbers but i wanted to make it to a short version

Answer:

14.49

Step-by-step explanation:

3
5
Jerry made a small rectangular table for his workroom. If the sides of the
table are 35- inches and 17- inches, which of the following gives the product
4
6
of these dimensions rounded to the nearest whole number of inches?
OA) 35 in. x 17 in.
OB) 36 in. x 18 in.
OC) 35 in. x 18 in.
OD 36 in. x 17 in.

Answers

Answer:

B

Step-by-step explanation:

cause on T4L you have to round it to the nearest whole and I put B and it was correct.

For each value of x, determine whether it is a solution to 3x + 5 = 8.
Is it a solution?:
-6: yes or no
-2: yes or no
7: yes or no
8: yes or no

Answers

Answer:

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Step-by-step explanation:

I will substitute each value in place of the variable. Hopefully you understand PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

×=1

The solution is: :

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

We will substitute each value in place of the variable.

we know PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

x=1

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A town has a population of 4000 and grows at 2% every year. To the nearest year, how long will it be until the population will reach 6400?

Answers

Answer:

24 years

Step-by-step explanation:

Answer:24 years

Step-by-step explanation:

Trust me

A square has a side length of 32 cm what is the area

Answers

Answer:

[tex]1024cm^2[/tex]

Step-by-step explanation:

Area = Length [tex]\times[/tex] Length

Area = [tex]32cm\times32cm=1024cm^2[/tex]

(n - 7) > 2n - 3.
Solve for n

Answers

Answer: inequality form n < -4

Step-by-step explanation:

Answer:

n < -4

Step-by-step explanation:

(n-7) > 2n-3

n-7 > 2n -3

+ 3        +3

n-4 > 2n

-n     -n

-4 > n

n < -4

All of the following are equivalent except
(4)
4+ y
4. y
4 у

Answers

plzzz brainliest

Answer:

the answer is b. 4+y

Step-by-step explanation:

all the other options are just expressing 4 in different ways

Answer:

B

Step-by-step explanation:

It takes 4 1/2 cups of cherries to make a cherry pie. Russell wants to make 4 cherry pies. How many cups of cherries will Russell need?

Answers

Answer:

18 cups.

Step-by-step explanation:

Multiply 4.5 by 4.


By selling 75 apples, a seller gains the cost price of 15 apples.
find his gain percentage?


Answers

Answer:

20%

Step-by-step explanation:

In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage

step one

given data

given that he sells a total of 75 apples

and also that he gains 15 apples

step two

To solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.

i.e (profit/total sales)*100

= (15/75)*100

= 0.2*100

= 20%

What is the value of y?

Answers

Answer:

D) 55°.

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

[tex]y+(y+30)+40=180[/tex]

[tex]2y+70=180\\[/tex]

Subtract 70 from both sides:

[tex]2y+70-70=180-70[/tex]

[tex]2y=110[/tex]

Divide both sides by 2:

[tex]\frac{2y}{2}=\frac{110}{2}[/tex]

[tex]y=55[/tex]

solve for n -2 = -n + 8

Answers

Answer:

N=10

Step-by-step explanation:

-2n=-n+8

subtract 8 on both sides

-10/-n= -n/-n

the variables cancel out and you divide -10 with -1 because your variable is always 1 giving you the answer

n=10

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n - 2 = - n + 8}[/tex]

Move n to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{n + n = 8 + 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{2n = 8 + 2}}[/tex]

Add the numbers: 8 and 2

[tex] \longrightarrow{ \sf{2n = 10}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{2n}{2} = \frac{10}{2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{n = 5}}[/tex]

Hope I helped!

Best regards! :D

What is the domain and range of the following?

Answers

Answer:

c

Step-by-step explanation:

Domain is the x-values range is y-values

An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the greatest number of
cans the artist can fill using the paint from the buckets?

Answers

Answer:

64 cans

Step-by-step explanation:

Given

[tex]Gallon = 8[/tex]

Required

Determine the equivalent in pints

The standard unit of conversion;

[tex]1 gallon = 8 pints[/tex]

Multiply both sides by 8

[tex]8 * 1\ gallon = 8 * 8\ pints[/tex]

[tex]8\ gallons = 64\ pints[/tex]

Hence, the artist will need 64 cans

The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the
Coordinates of the other endpoint G.

Answers

Answer:

G(-3, 6)

Step-by-step explanation:

[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Substitute the coordinates of M and D into the formula:

[tex]( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &[/tex]

Thus, the coordinates of G is (-3,6).

Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).

Answers

Answer:

[tex]x = \frac{17}{18}[/tex]

[tex]y = \frac{23}{6}[/tex]

Step-by-step explanation:

Given

[tex]y = 3x + 1[/tex]

[tex]Points = (0,0)\ to\ (-3,4)[/tex]

Required

Determine (x,y) equidistant from the equation and the given point

This question will be answered using distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]

[tex](x_1 ,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (x,y)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]

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

[tex]d = \sqrt{x^2 + y^2}[/tex]

Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]

[tex](x_1,y_1) = (x,y)[/tex]

[tex](x_2,y_2) = (-3,4)[/tex]

The distance is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]

[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]

[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]

[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]

Equate both values of d

[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]

Square both sides

[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]

Collect Like Terms

[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]

[tex]6x - 8y + 25 =0[/tex]

Recall that [tex]y = 3x + 1[/tex]

[tex]6x - 8(3x + 1) + 25 = 0[/tex]

[tex]6x - 24x - 8 + 25 = 0[/tex]

[tex]-18x+ 17 = 0[/tex]

[tex]-18x=- 17[/tex]

Solve for x

[tex]x = \frac{-17}{-18}[/tex]

[tex]x = \frac{17}{18}[/tex]

Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]

[tex]y = 3 * \frac{17}{18} + 1[/tex]

[tex]y = \frac{17}{6} + 1[/tex]

[tex]y = \frac{17 + 6}{6}[/tex]

[tex]y = \frac{23}{6}[/tex]

A dot-com company ships products from three different warehouses (A, B, and C). Based on customer complaints, it appears that 3% of the shipments coming from A are somehow faulty, as are 5% of the shipments coming from B, and 2% coming from C. suppose a customer is mailed an order and calls in a complaint the next day. What is the probability the item came from Warehouse C

Answers

Answer:

The probability of getting defective product from warehouse C is 0.3448

Step-by-step explanation:

Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.

P(A) = Probability of product that comes from warehouse A

P(B) = Probability of product that comes from warehouse B

P(C) = Probability of product that comes from warehouse C

P(A) =  30% = 0.30, P(B) =  20% = 0.20, P(C) =  50% = 0.50

Let D denotes the number of defective products

P(D|A) = 3% = 0.03

P(D|B) = 5% = 0.05

P(D|C) = 2% = 0.02

The probability of getting defective product from warehouse C is as below using the Bayes Rule

P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)

P(C|D) = 0.01 / 0.009 + 0.01 + 0.01

P(C|D) = 0.01 / 0.029

P(C|D) = 0.3448

Therefore the probability of getting defective product from warehouse C is  0.3448.

Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid

Answers

Answer: yes, it is valid

Step-by-step explanation:

Given the following probability distribution :

X ________f(x)

100,000___ .10

200,000__ .20

300,000 __ .25

400,000 __ .30

500,000 ___.10

600,000 ___.05

To examine the validity of the distribution :

Each individual observation or point must have probability value in within the range (0 < p ≤ 1)

Where p = probability value.

The sum of the individual probabilities must add up to 0

(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)

= 1

Since the two consitions are meet, then, the probability distribution is valid

-3+0=-3
is what property?

Answers

Answer:

It has a zero in it so it should be identity property.

Step-by-step explanation: anything with 0 is im pretty sure the Identity problem.


. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things? ​

Answers

Answer:

Step-by-step explanation:

cost of book = Rs. 573.75

cost of pen = Rs. 25.50

total cost = 573.75 +  25.50 = Rs. 599.25

total money = Rs. 1000

money left with him = 1000 - 599.25 = Rs. 400.75

Hope this helps

plz mark as brainliest!!!!!!

What is 5 divided by 1525

Answers

0.0033

This is rounded btw

Answer:

Step-by-step explanation:

5 divided by 1525 = 0.0032786885245902

1525  divided by 5 = 305

Hope this helps! :)

Write 19/20 as a decimal

Answers

Answer:

95%

Step-by-step explanation:

All you have to do is multiply both number by 5 and after you do that you should get 95/100 and then since we have the 100 as the denominator then we could take the numerator and then you can take it off and then you have you decimal.

What is the simplified form of the complex fraction? 2x2+x−6x2−x−64x2−9x2+5x+6

Answers

Question:

Is that 6x square?

pliz solve this question, pliz pliz​

Answers

Answer:

If the bisector of AB is at origin (0,0) and A is at (4,0)

we can say that the mid-point of the line AB is at (0,0)

Hence, the point B will be 4 units on the other side of the origin

Therefore, the co-ordinates of B are: (-4,0)

Since the line AB is 4 units to the left and 4 units to the right of the origin,

the length of line-segment AB is 4 + 4 = 8 units

fill in the missing
16 x 50 = 16 x x25

Answers

X=2 I did the test and I got it correct
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