Given the following points, find the equation of the line. Then state the slope of a line
parallel to the found equation.
(4,-2) (6,5)

Answer:

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

Step-by-step explanation:

I solved it using the elimination method

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:

it would be 36

Step-by-step explanation:

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:

11

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

30-18-1

30-19

11

Answer:

1/9

Step-by-step explanation:

-2/3(-1/6)

1/9

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

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

The sum of all the cards of Luann is -14.

One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).

The given numbers on the cards are given as - 12 , 3 and - 5 .

Therefore the addition or sum is equal to :

-12 + 3 + ( - 5 ) =  - 17 + 3 = - 14

Hence the sum of all the cards in LuAnn's card games is -14.

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Answer:

C. 2 and 5

Step-by-step explanation:

Answer:

Answers are at the bottom!

Step-by-step explanation:

First answer:The coordinates of the turning point are (-2,-1)

Second answer is (-0.5,5) and (0.5,5)

If i'm wrong please correct me.

Hope this helps!!

The dimensions of the park are obtained as 180 yards and 140yards respectively.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Suppose the width of the rectangle be x yards.

Then, its length is given as x - 40 yards.

Since, the perimeter of a rectangle is given as 2(l + b).

Substitute the corresponding values to get the equation as follows,

640 = 2(x - 40 + x)

=> 640 = 2(2x - 40)

=> 2x - 40 = 640/2

=> 2x - 40 = 320

=> x = 360/2 = 180

Then, the length is given as 180 - 40 = 140 yards.

Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.

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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: b or c

Step-by-step explanation:

Answer:

1.25 is the constant of proportionality

Step-by-step explanation:

Given:

p = 1.25n

Where,

P = price of candy bars

n = number of candy bars.

What is the constant of proportionality (unit rate)?

The constant of proportionality is 1.25

For example, if number of candy bars is 10, find the price

n = 10

p = 1.25n

= 1.25 * 10

= 12.5

P = 12.5

Answer:

Step-by-step explanation:

Answer:

1/2 hour

Step-by-step explanation:

he ran 1.25 miles in 7.5 mins

so

1.25x=37.5

x=30 MINS

30 mins =.5 hours or 1/2 hours

Answer:

cool

Step-by-step explanation:

is this a question?

Answer:

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

Answer:

[tex]3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} [/tex]

Answer:

a. 68

Step-by-step explanation:

You just have to subtract these two numbers from 180 because adding all the angles of a triangle the resulta is 180. Subtracting those numbers from 180 will give you the result.

Answer:the answer is x=6

Step-by-step explanation:

I alr did the quiz for this question on edg 2020

Answer:

x= 6

Step-by-step explanation:

Answer:

0,204

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

30 from the beginning of the week plus 50 that you bought.

80-x=30

50=x

Answer is D

Answer:50

Step-by-step explanation:

30+50=80

80-30=50

So he sell 50

Answer:

t=2x+ 2

Step-by-step explanation:

x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended

Answer:

Step-by-step explanation:

t=2+2p

Step-by-step explanation:

the red point is (4, -5).

so, y - (-5) = -1/7(x - 4)

Topic: coordinate geometry

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A.Yes because each t value is paired with exactly one number of gallons.

Step-by-step explanation:

Yes  the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.

Option A

Given :

The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

The number of gallons of water in bathtub depends on the time taken to fill or drain water

For each minutes in x  there is one y value

There is no break in the graph . For each x  value there is only one value

From this graph we can say that , for each t value (minutes)  there is exactly one number of gallons (y value )

So, yes because each t value is paired with exactly one number of gallons.

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