The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square root of 10. What are the possible images of point C? Fill in as many answers as possible.

Answers

Answer 1

Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

(parallel to y = 3x - 2, slope = 3).

We have x² + (3x)² = 10,

=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.

When x = 1, y = 3. When x = -1, y = -3.

Therefore 2 possible translation vectors

are (1, 3) or (-1, -3).

First new C' = (2 + (1), 3 + (3)) = (3, 6).

Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).

The possible images are (3, 6) and (1, 0).


Related Questions

Solve the inequality 21<2x+3

Answers

Answer:

x = 9 and up

Step-by-step explanation:

At Budget, a rental car costs $103 and every kilometre costs $18. At Avis, a rental car costs $164 and every kilometre costs $13. At how many kilometres will they cost the same, and how much will it cost? Kilometres dollars

Answers

Answer:Rental includes 150 free miles. A $0.10 per mile charge will be applied for each additional mile driven.

If WX is a midsegment of TUV find TU
A 4
B 9
C 12
D 18

Answers

Answer:

is this a question meant to evaluate you, such as a test, exam, quiz, or assessment?

Step-by-step explanation:

the answer is d

Yes the answer is D 18

Lines AB and CD are parallel. If 7 measures (3x + 7)°, and 6 measures 76°, what is the value of x?

Answers

Do you have a picture or something

URGENT HELP PLEASE ILL GIVE BRAINIEST
Rewrite 4,005,000 in scientific notation.
1. 4.005 10^3

2. 4.005 x 10^6

3. 4.5 x 10^3

4. 4.5 x 107^7

Answers

Answer : 4.005 x 10 ^6

Step-by-step explanation:

10 the power of 6 is 1,000,000

If u multiply this by 4.005 you get number 2.

hope this helps : )

Diego and Elena are 2 miles apart and begin walking towards each other. Diego walks at a rate of 3.7 miles per hour and Elena walks 4.3 miles per hour. While they are walking, Elena's dog runs back and forth between the two of them, at a rate of 6 miles per hour. Assuming the dog does not lose any time in turning around, how far has the dog run by the time Diego and Elena reach each other?

Answers

Answer:

Write a distance equation, dist = speed * time.When they meet, the sum of their distances = 2mi

3.7t + 4.3t = 2

8t = 2t = 2/8 or 1/4 hr or 15 min:the dog was running for 1/4 hr at 6 mph 1%2F4 * 6 = 1.5 mi the dog ran

Please help me with 2 3 4 and 5 ! And show workk plss.

Answers

Answer:

2. it is the y intercept. they are parallel but intercept y at different points

3. the all have different growth rates but same y intercept. that is why they are increasing at different rates but all intersect.

4. legit just change the y intercept

5. ok and change the slope in the same way you would have changed the y in the last problem

In the ellipse shown below, the red line segment is called the
A. major axis
B. diameter
C. minor axis
D. radius

Answers

Answer:

A. Major Axis

Step-by-step explanation:

Red line shows the Major axis of the ellipse drawn.

What is Conic Section?

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

An ellipse uses two axis, major and minor.

Major axis is the larger one and minor axis is smaller.

The minor axis of an ellipse is the line that contains the shorter of the two line segments about which the ellipse is symmetrical

Now we come to the question.

Here extreme points of the red line are on the ellipse are more distant than the extreme points of the axis perpendicular to the red line.

Therefore, red line shows the Major axis of the ellipse drawn.

To learn more on Conic Section click:

https://brainly.com/question/19507943

#SPJ7

16/4 x 11/5

what is this answer ?

Answers

Answer:

44x/5

Step-by-step explanation:

Answer: what method are you using to solve this?

Step-by-step explanation:

There are 180 players on 15 teams how much players are on each team

Answers

Answer:

180/15=12

12 players per team

Step-by-step explanation:

Hope this helps :D

Have a good day/night <3

There will be 12 players in each team

what is 7^6= pls i really need this

Answers

1735935 that's the answer

Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?

Answers

Answer:

10.24 years

Step-by-step explanation:

The computation of the time period is as follows:

As we know that

Amount = Principal × (1 + rate of interest)^time period

£8000 = £4000 × (1 + 0.07)^time period

£8,000 ÷ £4,000 = 1.07^time period

2 = 1.07^time period

Now apply the log to the both sides

log 2 ÷ log 1.07 = time period

= 10.24 years

find the volume of each figure. tell whether each statement is true or false.

Answers

Answer:

true

Step-by-step explanation:

true

Miguel borrowed money from a credit union for 2 years and was charged simple interest at an annual rate of 8%. The total interest that he paid was 480 . How much money did he borrow?

Answers

Answer:

he borrowed $3000

$3,000 is how much he borrowed

Please help! Write the slope-intercept form equation of the trend line

Answers

Answer:

y= -1/3x+9.2

Step-by-step explanation:

I believe that it is 9.2 although it could be another number in the 9's.

The slope is (rise) -1 and (run) 3 and the line crosses the y-intercept at what it looks like 9.2

Express in scientific notation: 8346000

Answers

Answer:

gyhujiuhyg

Step-by-step explanation:

gtfgyhujy

Step-by-step explanation:

Given

8346000

In scientific notation

=

[tex]8.346 \times {10}^{6} [/tex]

Hope it helps :)

The original triangle shown in the
diagram above is reflected across the
y-axis. In which quadrant is the image
of the triangle located?

Answers

Answer:

i think (2,2)

Step-by-step explanation:

Answer: Quadrant #2 The one of the upper left corner

Step-by-step explanation:

If you reflect across the y-axis the x coordinate's become negative but the y-coordinates stay positive

so if you reflect it over the y-axis the coordinate's would be

(-4, 1), (-2, 2), (-3, 4)

A model ship is built to a scale of 1 cm : 5m. The length of the model is 25 cm. What is the length of the actual ship?

Answers

Answer:

The length of the actual ship is 125 meters.

Step-by-step explanation:

Scaling

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.

A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.

The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.

The length of the actual ship is 125 meters.

What is .75 as a fraction,percent and ratio?

Answers

Answer:

Fraction: 75/100

Percent: 75%

Ratio: 75:100

Fraction-75/100



Percent-75%


Ratio 75 out of 100

Determine if the two triangles are congruent. If they are, state how you know.
5
6
A) SSS
C) SAS
B) ASA
D AAS
A) Not enough information
B) AAS
C SSS
DASA

Answers

Answer:

5.SAS And 6. not enough information

x² - 3x = 4 in standard form​

Answers

Answer:

Three times a number, when subtracted from the square of that number gives four.

Step-by-step explanation:

let x = any number3x = three times a number4 = four

HOPE THIS HELPS YOU

HOPE THIS HELPS YOUFollw me = 10 thanks

HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks

HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks1 thanks to me = 2 thanks

lets simplify
6.4×10 (-5)×3.6×10 (9) divide by
1.6×10 (10)×1.8×10-3
b 6.7×10 (-11)×2.5×10 (20)×3.6×10 (15) divide by (3.35×10^6)2​

Answers

Answer:

wait for another one

I am doing.

Which pairs of integers are additive​ inverses?
4,4
4, -4
3, -3
3, -4

Answers

I believe it’s 4,-4 and 3,-3 .

Please I just need them labeled by .. SSS,SAS,ASA,HL Triangle Congruence

Answers

Answer:

1. ASA

2. SSS

3. HL

4. ASA

5. SAS

6. SAS

7. SAS (not sure on this one)

8. HL

(x-2)2(3x)4

Does anyone know the answer

Answers

into an equation is
24x2 - 48x

Help on this plz ASAP!!!

Answers

Answer:

Begin by finding the area of the square, 24x22. This would equal 528. Then, we need to find the area of each circle using the area formula, [tex]\pi[/tex][tex]r^{2}[/tex]. We can plug in the numbers to get [tex]\pi[/tex][tex]3^{2}[/tex]. Multiply 3x3 to get 9[tex]\pi[/tex]. Because there are 4 circular burners, we need to multiply 9[tex]\pi[/tex] by 4 to get 36[tex]\pi[/tex] or 113.04. Now, we can subtract 528 with 113.04 to result with 414.96 or 415, when rounded. So, the answer would be 415 [tex]in.^{2}[/tex]

Find the value of x

Look at the picture^^

Answer with work please I need help???

Don’t mind the work in the box I didn’t have space for it on the other question.

Answers

Step-by-step explanation:

Applying Pythagoras theorem ,

[tex]{24}^{2} = {11}^{2} + {x}^{2} \\ 576 = {121} + {x}^{2} \\ {x}^{2} = 576 - 121 \\ {x}^{2} = 455 \\ x = \sqrt{455} \\ x = 21.33[/tex]

Classify the triangle by its sides and angles. ​

Answers

D because both sides r same making it Isoceles and the angle is greater than 90° making it obtuse
It is D because it is an Isosceles triangle and it’s not a right angle

PLEASE ANSWER ASAP ITS EASY
71/2 divided by 3/4

Answers

142/3 is the answer
Which is also equal to 47 1/3

Answer:

that would be 10 my good sir :)

Step-by-step explanation:

What is the perimeter of one triangle?

Answers

Answer:

Perimeter =84 inches (12 + 35 + 37

Step-by-step explanation:

12 squared + 35  squared = x squared (the other unknown side)

144 +1225 = x squared

1369 = x squared

square root of 1369 = x

x= 37     (37x37= 1369)

Perimeter = 12 +35 + 37 = 84

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