20 POINTS!!!!! A cartographer is making a city map. Line m represents Murphy Street. The cartographer translates points on line m along the vector angleleft1, −3angleright to draw Nolan Street. Draw the line for Nolan Street on the coordinate plane and complete its equation. What is the image of (0, 3) in this situation?

20 POINTS!!!!! A Cartographer Is Making A City Map. Line M Represents Murphy Street. The Cartographer

Answers

Answer 1

Answer:

[tex]y=2x-2[/tex] and image of (0,3) is (1,0).

Step-by-step explanation:

From the given graph it is clear that the line of Nolan Street passes through the points (0,-2) and (1,0).

So, the equation of Nolan Street is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

So, the equation of the Nolan Street is [tex]y=2x-2[/tex].

It is given that the cartographer translates points on line m along the vector <1, −3> to draw Nolan Street. So, the rule of translation is

[tex](x,y)\to (x+1,y-3)[/tex]

The image of (0, 3) in this situation.

[tex](0,3)\to (0+1,3-3)=(1,0)[/tex]

The image of (0,3) is (1,0).


Related Questions

4 cm
1
1
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4 cm
/
5 cm
What is the volume of the solid?

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Answer:

I don't know what you are asking.

What is the absolute value of 9?

Answers

Answer:

the absolute value of 9 is 9

the absolute value of a number is the number w/o a negative sign, 9 dosent have a negatics sign so the absolute value of 9 is 9

which algebraic experssion is a difference with two term

Answers

Answer:

ok

Step-by-step explanation:

" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7

pls mark me as brilliant

The cost C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?

Answers

Answer:

20=n

Step-by-step explanation:

Take 385 and subtract 85. You get 300. Divide 300 by 15n. You get 20.

20=n

If you want to double check, replace n with 20 so the equation is

C=(15x20)+85

Hope I help!

Given the graph, find the distance of GH. Round to the nearest tenth.

Answers

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

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

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 units [/tex] (nearest tenth)

Hannah has 3 places to hang pictures on her wall.she has 6 possible pictures all together. How many possible arrangements of pictures can she hang?

Answers

She has 6 possible pictures or 6 possible places?

The number of possible arrangements of pictures she can hang on her wall is 120.

How many possible arrangements of pictures can she hang?

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

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What is the additive inverse of 3x+4

Answers

Answer: y = (x - 7)/3

Step-by-step explanation:

The answer is -3x-4.

-2(4n-8) helphelphelp

Answers

Answer:

-8n+16. You can also put 16-8n

-8n+16 might be your answer :)

Please Help Me!!!!!!!
20. What is the least amount of principal you can invest at an 8% interest rate to earn at least $1000 in interest in 3 years?(Round your answer to the nearest dollar.)
A. $240
B. $5167
C. $20000
D. $4167
E. $6367
F. cannot be determined

Answers

cannot be determined is the answer.

Answer:

F. cannot be determined

Step-by-step explanation:

not enough information

What is the product of (-6)(-7)(-1)
142
0 14
0 42

Answers

Answer:

-42

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

(-6)(-7)(-1)

Step 2: Multiply -6 and -7 together

(-6)(-7) = 42

Step 3: Multiply 42 and -1 together

42(-1) = -42

the answer would be -42

The students plan to eat lunch at a park. Each table can only seat 6 stud
If there are 48 students, how many tables are needed?

Answers

The answer is 8 because 6x8=48

Answer:

They would need 8 tables.

Step-by-step explanation:

if there is 6 students on one table

6. 6. 6. 6+6+6+6+6+6+6+6= 48

6. 6. 6×8= 48 students

6. 6. 6.

what is 327 divided by 55

Answers

Answer:

[tex]5\frac{52}{55}[/tex]

Step-by-step explanation:

[tex]\frac{327}{55}=5\quad \mathrm{Remainder}\quad \:52\\\\\mathrm{Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}}\\\\\frac{327}{55}=5\frac{52}{55}\\\\5\frac{52}{55}[/tex]

5.94545454... because google said so

964,103 rounded to the nearest ten thousand

Answers

960,000! Hope this helped! :D

7. Solve: 33 +21 + 3 - 5

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Step 1:

33 + 21 + 3 - 5

Step 2:

54 + 3 - 5

Step 3:

57 - 5

Answer:

52

Hope This Helps :)

2[( 62 -52) + 4]
Need help

Answers

Answer:

28

Step-by-step explanation: USE PEDMAS  

2[(62-52)+4] = 2[(10)+4]= 2[14]=28

Find the general solution of the following equation: y'(t) = 3y -5

Answers

Answer:

The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = [tex]e^{3t}e^{3C}[/tex]        

3y - 5 = [tex]Ae^{3t}[/tex]                [tex]A = e^{3C}[/tex]

3y = [tex]Ae^{3t}[/tex] + 5    

dividing through by 3, we have

y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Write an equation in slope-intercept form for the line described. Slope 9/2, passes through (0,-13/2)

Answers

Use slope-intercept equation form: [tex]y=mx+b[/tex]

We know that the slope is 9/2

[tex]y=\frac{9}{2}[/tex]

[tex]y=\frac{9}{2}x+b[/tex]

To solve for b, we can plug in the point given, since it's on the line.

[tex]-\frac{13}{2}=\frac{9}{2}(0)+b[/tex]

[tex]b=-\frac{13}{2}[/tex]

So the equation is: [tex]y=\frac{9}{2}-\frac{13}{2}[/tex]

頑張って!

Someone pls help it’s a very short question!!!
(dont judge me I forgot)

Answers

Answer:

12.) 13 008 13.) 4 069 604

Answer:

12)  13008

13)  4069604

Step-by-step explanation:

Problem 12)

10000+ 3000 + 8 = 13008

Problem 13)

4 x 1000000 + 6 x 10000 + 9 x 1000 + 6 x 100 + 4 x 1 =

4000000 + 60000 + 9000 + 600 + 4 = 4069604

Help just one question can you show steps

Answers

this is the answer hope this will help u

Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.

Answers

Answer:

1.10

Step-by-step explanation:

that's your answer

The location of the tug boat relative to the port will be 30.83 miles.

What is trigonometry?

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.

The distance of ship A from the port is x

X²= 18²+30²

X²= 324+900

X²=1224

X=34.9857 miles

Bearing from port:-

Tanθ= 18/30

θ = tan^-1 3/5

θ= 31°

N 31° E

The distance of ship B from the port is y.

Y²= 27²+10²

Y²= 729+100

Y²= 829

Y=28.7924 miles

Bearing from port:-

Tanθ = 2.2

θ = 69.7°

90-69.7= 20.3

N 20.3°W

The distance between the two ships is z.

Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)

Z²= 2053+267.1

Z²= 2320.1

Z=48.18 miles

One-fifth of 48.18

=9.63 miles

The distance of the boat is D.

D/sin 60 = 34.9857/sin 100.7

D=30.83 miles

Therefore, the location of the tug boat relative to the port will be 30.83 miles.

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Plzzz help !!!!!! Plzzzz

Answers

Where is the question?

The point (2,6) lies on the graph of the equation y = kx^2 - 3x. Find the value of K.

Answers

Answer:

k=3

Step-by-step explanation:

just did it

PLEASE HELP!! ASAP NOWWWW Two races that a student runs every year are the 1492​-mile race in his hometown and the ​-meter race in his college town. Complete parts​ (a) through​ (d) below.

Answers

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]

= [tex]\frac{0.93}{3}\times 100[/tex]

= 31%

Therefore, the college town race is 31% of the home town race.

write the roster from of
{ x:x is a factor of 42 }​

Answers

Answer:

the correct answer is

{2,3,6,7,14,21,}

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. What belongs in cell A?

Answers

Answer: 96 teaspoons

Step-by-step explanation:

If 1 cup contains 16 tablespoons the 2 cups will contain;

= 16 * 2

= 32 tablespoons

If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;

= 32 * 3

= 96 teaspoons

An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height of the stuffed toy canary? Jesus thinks the height of the canary is 18 inches. Is this true or false?

Answers

Answer:  The height of the stuffed toy canary is 18 inches so Jesus is right.

Step-by-step explanation:

We can represent the first statement by the equation  22= 2x - 14    where x is the height of the stuffed toy canary  so solve for x

22 = 2x -14   Add 14 to both sides

+14          +14

36 = 2x       Divide both sides by 2

x = 18  

Jesus is right.

Observations that deal with descriptions that cannot be expressed with numbers are called?

Answers

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Find the slope of the line passing through the points P (2,5) and Q (8,2)

Answers

The slope in this case would be -3/6

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64

Answers

Answer:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

EDGE 2020

Write an equation that has a slope of 2 and goes through the point (2, 1).

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

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

Distribute the right:

[tex]y-1=2x-4[/tex]

Add 1 to both sides:

[tex]y=2x-3[/tex]

And that's our equation.

And we're done!

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