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?

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)

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Answer:

I don't know what you are asking.

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

this is the answer hope this will help u

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.

Answer:

28

Step-by-step explanation: USE PEDMAS  

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

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

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

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]

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!

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!

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.

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

Answer:

the absolute value of 9 is 9

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

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

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

To learn more about combination, please check: https://brainly.com/question/13387529

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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!

Answer: y = (x - 7)/3

Step-by-step explanation:

Answer:

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

Answer:

A

Step-by-step explanation:

EDGE 2020

Answer:

the correct answer is

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

Answer:

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

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 :)

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.

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.

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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Answer:

k=3

Step-by-step explanation:

just did it

Answer:

F. cannot be determined

Step-by-step explanation:

not enough information