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2 years ago

What is an equation of the line that passes through the points (3, 4) and (4,6)?

Mathematics

1 answer:

Likurg_2 [28]2 years ago

7 0

Answer:

(y - 4) = 2 (x -3)

=> y - 4 = 2x -6 => y = 2x -6 + 4 = 2x - 2

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A rectangle's length is 6 units greater than its width. write an equation expressing the rectangle's area, a, as a function of w

vladimir1956 [14]

Let the width be w

Width = w
Length = w + 6
Area = a

a = w(w + 6)
a = w² + 6w

Answer: a = w² + 6w

7 0

3 years ago

Read 2 more answers

what is the factored form of the linear expression 4x+14 Ill give Brainly Award Comments, Thanks, and a 5-star rating

Gnesinka [82]

Answer:

$2(2x+7)$

Step-by-step explanation:

we have

$4x+14$

we know that

$4=2^2=(2)(2)\\14=(2)(7)$

substitute

$(2)(2)x+(2)(7)$

Factor 2

$2[(2)x+(7)]$

$2(2x+7)$

6 0

2 years ago

(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

Stells [14]

Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

6 0

3 years ago

Which inequality represents this sentence? Seven plus five is greater than six plus two. A. 7 + 5 ≥ 6 + 2 B. 6 + 2 > 7 + 5 C.

Ainat [17]

The answer would be D

Hope this helps!

5 0

2 years ago

Read 2 more answers

What is 2x-5/3=7?<br><br> Plz help!

ki77a [65]

Hello! And thank you for your question!

First add 5/3 to both sides:

2x = 7 + 5/3

Then simplify 7 + 5/3:

2x = 26/3

Then divide both sides by 2:

x = 26/3 over 2

After that simplify 26/3/2:

x = 26 over 3 x 2

Simplify 3 x 2:

x = 26/6

Simplify:

x = 13/3 or 4 1/3

Final Answer:

x = 13/3 or 4 1/3

5 0

3 years ago