Write the equation of the line that passes through the given points. ​(0,2) and( 2,11)

The question is incomplete. Here is the complete question.

Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family?

a) 10 miles per hour

b) 15 miles per hour

c) 30 miles per hour

d) 65 miles per hour

Answer: b) 15 miles per hour

Step-by-step explanation: Speed is given by the change in distance per change in time or:

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is

[tex]v_{T}=\frac{200-0}{4-0}[/tex]

[tex]v_{T}=\frac{200}{4}[/tex]

[tex]v_{T}=[/tex] 50 mph

For Malcolm's family:

At t = 0: d = 65*0 = 0

At t = 4: d = 65*4

Then, Speed is:

[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]

[tex]v_{M}=\frac{65.4}{4}[/tex]

[tex]v_{M}=[/tex] 65 mph

Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

[tex] \longrightarrow [/tex] l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

Answer:

8/-5

Step-by-step explanation:

the equation for slope is y 2 - y 1/ x 2 - x 1 so your equation is -7 - (-11) / -6 - (-1) which simplifies to  8/ -5 and that is the slope.

Answer:

X-axis

Step-by-step explanation:

Maybe

Answer:

venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go

The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.

According to what I heard :3

Hope This Helped! May I have Brainliest? <3

Answer:

3,6,15,17,21

I hope this is good enough:

Answer:

24 would prefer CREST

6 woul NOT prefer Crest

Step-by-step explanation:

4:5=x:30

Answer:

c

Step-by-step explanation:

the slope of a line perpendicular will always be the opposite

the slope of a line parrallel will always be the same

Answer:

I think 100..........

Using reflection concepts, it is found that the correct option is:

---------------

A similar problem is given at https://brainly.com/question/15196246

Answer:

b

Step-by-step explanation:

Answer:

188.88

Step-by-step explanation:

Answer:

4 red marbles and 6 blue marbles

Step-by-step explanation:

Multiply any numbers to 2 and 3 and you get another ratio.

Answer:

It is 42=x

Step-by-step explanation:

bruh

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

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Answer:

standard form

Step-by-step explanation:

standard form

Answer:

cool

Step-by-step explanation:

is this a question?

6×11=66

66 square units

Answer:

52 square units

Step-by-step explanation:

First find the area of the whole box.

6*11=66

Then, find the area of the red box

2*7=14

Subtract the whole box from the red box to find the yellow box

66-14=52

Answer:

(x, y, z) = (2, -1, 3)

Step-by-step explanation:

I solved it using the elimination method

Answer:

C. 2 and 5

Step-by-step explanation:

Answer:(6,0)

Step-by-step explanation:

Its the only positive point on the x axis

The ordered pair on the x axis that is one the line parallel to the given point P ( -6 , 10 ) is Q ( 6 , 0 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -8 , 6 )

Let the second point be Q ( 4 , -4 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -4 - 6 ) / ( 4 + 8 )

Slope m = -5/6

Now , the equation of line is y - y₁ = m ( x - x₁ )

y + 4 = ( -5/6 ) ( x - 4 )

Subtracting 4 on both sides , we get

y = -5 x/6 - 4/6

Now , the ordered pair be ( 6 , 0 )

5x + 6y + k=0,  passes through ( -6 , 10 )

So , ( -30 + 60 + k = 0 )

k = -30

And , the line is 5x + 6y - 30 =0

So , the ordered pair ( 6 , 0) satisfies the condition of the equation

Hence , the ordered pair is ( 6 , 0 )

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The complete question is attached below :

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6, 10)?

O (60)

0 (0,6)

O (-5, 0)

O (0,-5)

Answer: 19.625

Step-by-step explanation: if u need the explanation add me

Answer:

Hebrew National since the cost is only 0.73

Step-by-step explanation:

First we need to identify the cost of each hotdog for each brand. I'll go by in order.

Ball Park:

We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.

"Price/Hotdogs per package"

In order

6.95/8=0.86875 or 0.87

8.20/10=0.82

7.35/8=0.91875 or 0.92

17.50/24=0.7291666 or 0.73

Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.

Use this formula that I made for this question for any other questions.

Answer:

1.5

Step-by-step explanation:

Lmk if i need to explain!

Answer:4th one

Step-by-step explanation:I did it

Answer:

4

Step-by-step explanation:

Answer:

2 to the 8th power

Step-by-step explanation:

When there are parenthesis, for exponents, you have to multiply the exponents. 2*4=8

Answer:

170 cm is the tallest