Find the slope of the line containing the points ( a , 1/a ) a n d ( b , 1/b )

its sorta hard to do fractions with typing

Answers

Answer 1

Answer:

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

=(1/b-1/a)/(b-a)

=((a-b)/ab)/(b-a)

=(a-b)/ab(b-a)

=(a-b)/(-(ab(a-b))

=-1/ab

Answer 2

The  slope of the line containing the points should be considered as the [tex]-1/ab[/tex]

Calculation of the slope of the line;

Since we know that

slope should be

[tex]=(y2-y1)/(x2-x1)\\\\=(1/b-1/a)/(b-a)\\\\=((a-b)/ab)/(b-a)\\\\=(a-b)/ab(b-a)\\\\=(a-b)/(-(ab(a-b))\\\\=-1/ab\\\\[/tex]

Hence, The  slope of the line containing the points should be considered as the [tex]-1/ab[/tex]

Learn more about slope here: https://brainly.com/question/24685162


Related Questions

The expression 6e2 represents the surface area of a cube where e represents the length of each edge. What is the surface area, in square centimeters, of a 5-centimeter cube?

Answers

Answer:

150 cm²

Step-by-step explanation:

The expression 6e² represents the surface area of a cube where e represents the length of each edge. What is the surface area, in square centimeters, of a 5-centimeter cube?

The surface area of a cube is expressed as: 6e²

Where e = Length of each edge

The surface area, in square centimeters, of a 5-centimeter cube

e = 5cm

Therefore, the surface area of the cube = 6 × 5²

= 6 × 25

= 150 cm²

A logo is in the shape of a circle. The radius of the logo is 4cm.What is the area of the logo?

Answers

Answer:

50.27

Step-by-step explanation:

A= πr²

4²xπ= 16π

The length of a rectangle is 1yd more than twice the width and the area of a rectangle is 45y squared. Find the dimensions of the rectangle

Answers

Answer:(2x+1)x=45

x=4.5

4.5*2+1=10

Step-by-step explanation:

Divide using synthetic division (x^2 +9)÷(x-3) =​

Answers

Answer: x+3+ 18/x-3

Step-by-step explanation:

The complete division problem can be written as:

(x² + 9) / (x-3) = x + 3 + 18/(x-3)

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To divide using synthetic division, we follow these steps:

Write the dividend (x² +9) and the divisor (x-3) in the form of a long division problem, with the divisor (x-3) written on the outside and the dividend (x² +9) written inside the division brackets.

Write the coefficient of the first term of the dividend (in this case, 1) in the first row of the synthetic division. This will be the first term of the quotient.

Multiply the divisor (x-3) by the coefficient in the first row (1), and write the result (x-3) in the second row.

Add the second term of the dividend (9) to the result in the second row. The result is the coefficient of the second term of the quotient.

Repeat this process until you have found the coefficients of all the terms in the quotient.

Using this process, we can divide (x² +9) by (x-3) as follows:

The quotient is x + 3. The remainder is 18, so the complete division problem can be written as:

(x² + 9) / (x-3) = x + 3 + 18/(x-3)

To learn more about the division operation click here :

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write 25/4 as mixed number give your answer in its simplest from​

Answers

in decimal= 6.25

hope it helped you

The local planetarium is selling tickets for the new laser light show at the price of 2 tickets for $5.00. Which graph shows the relationship between the number of tickets bought and the total cost?
All i need is the answer. Thanks!

Answers

Answer:

A

Step-by-step explanation:

It is the first one because it you mark the number 2 between 0 and 4 and the number 5 between 0 and 10, you can see it is just in the middle which is 2:5

Answer:

a

Step-by-step explanation:

Please help me ! I’ll give brainliest

Answers

Answer is 136 degrees

This is because there is 180 degrees in a line and 180-44 is 136.

what is the answer to 6x+12=4x-18

Answers

Answer:

x = -15

Step-by-step explanation:

6x +12 = 4x - 18

-4x          -4x

2x + 12 = -18

      -12      -12

2x = -30

2 divided by x ----------->    2 divided by -30 = -15

x = -15

Hope this Helps!!!!!

What is the value of x?

Answers

I believe it is the 2 option
Have a good day.

estimate 0.2822

Answer​

Answers

estimating to the tenth : 0.3 estimating to the hundredth: 0.280 it should be 0.3

help me answer this ! i’ll give brainliest

Answers

Answer:

1 is 6 and 2 is 5

Step-by-step explanation:

the answer is 1)6, 2)5

What is the area of a square if the length is 4x-3

Answers

Answer:

The area  of square in terms of x = 16x² -24x + 9

Step-by-step explanation:

It is stated in the question that the length of a square = 4x - 3

Formula to find the area of the square is

Area = length²

Area = ( 4x - 3 )²

by using ( a - b )² = a² + b² - 2ab

here a = 4x and b = -3

So,

(4x)² + (-3)² - 2(4x)(3)

16x² + 9 - 2(12x)

16x² + 9 - 24x

16x² -24x + 9

The area  of square in terms of x = 16x² -24x + 9

Answer:

The area  of square in terms of x = 16x² -24x + 9  

Step-by-step explanation:  

It is stated in the question that the length of a square = 4x - 3  

Formula to find the area of the square is  

Area = length²

Area = ( 4x - 3 )²  

by using ( a - b )² = a² + b² - 2ab  

here a = 4x and b = -3  

So,  

(4x)² + (-3)² - 2(4x)(3)  

16x² + 9 - 2(12x)  

16x² + 9 - 24x  

16x² -24x + 9

 

The area  of square in terms of x = 16x² -24x + 9

(hope this helps can i plz have brainlist :D hehe)

fill in the table using the function rules

Answers

1. 25
2. 22
3. 19
4.16
1 = 25 2=22 3=19 4=16

I provided a photo of the work. You have to plug-in the numbers into the x. (View photo as reference)

The ordered pair (22, -45) is located in which quadrant of a coordinate plane?

Answers

Answer:

where is the graph

Step-by-step explanation:

Find the missing value to complete the square.

x^2 + 8x + __ = 0

Answers

Answer:

−x^2 − 8x

Step-by-step explanation:

Lets say y is the missing value

Add -x^2 to both sides.

x^2+8x+y+−x^2=0+−x^2

8x+y=−x^2

Add -8x to both sides.

8x + y + −8x = −x^2 + −8x

y = −x^2 − 8x

So the whole equation would be

x^2 + 8x + −x^2 − 8x = 0

it's due tonight and I don't get it​

Answers

The answer to this question is A because y=Mx+B
The answer to this question is A

I NEED HELPPPP ON THIS

Answers

75 I did it if I not mistaken

How to solve x + 11 = 23, Jasmine subtracted 11 from both sides of the equation. Which property justifies this step?

Answers

I think it is subtraction

gonzalo nacio el 18 de sptiembre de 1945 si bertha nacio cuatro decadas y un lustro cual es la fecha de nacimiento de bertha​

Answers

Answer: Bertha nació el 18 de septiembre de 1990.

Step-by-step explanation:

Gonzalo nació el 18 de septiembre de 1945.

Bertha nació cuatro décadas y un lustro después.

Una década son 10 años

Un lustro son 5 años

Entonces 4 décadas y un lustro son:

4*10 años + 5 años = 45 años

Esto significa que Bertha nació 45 años después que Gonzalo.

Entonces si Gonzalo nació en 1945, Bertha nació en el año:

1945 + 45 = 1990

Bertha nació el 18 de septiembre de 1990.

La fecha de nacimiento de Bertha es el 18 de septiembre de 1990.

How many years does a decade have?

A decade is composed of 10 years. So, if there are 'x' decades, then that means there are going to be [tex]10 \times x[/tex] years in it.

For this case, we are given that:
Date of birth of Gonzelo is 18th of Sept. 1945

Bertha born after 4 decades and 5 years of Gonzelo's birth.

4 decades = 4 times 10 = 40 years

Thus, 4 decades + 5 years = 40 + 5 = 45 years.

45 years after 1945 uis 1945 + 45 = 1990

Thus, date of birth of Bertha is 18th Sept. 1990

Learn more about multiplication here:

https://brainly.com/question/26816519

Helpppp plsssssssssssssss

Answers

Answer: Section B

Step-by-step explanation: A rhombus is a parallelogram.

Need help!!!! Asap I’ll Mark Brainly

Answers

Answer:

I think 9 and 12 are paraellograms. the others are not paraellograms. dunno if im right. but I tried my best

Step-by-step explanation:

HELP ME PLS ITS DUE TODAY

Answers

Answer:

choice 3) 1/3 x 1/3

Step-by-step explanation:

HELP I WANNA PASS!!!

A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2 + 40t + 3. What is the meaning of the 3 in the expression?

A.
The ball was thrown from a height of 3 feet.

B.
The ball took 3 seconds to reach its maximum height.

C.
The ball took 3 seconds to reach the ground.

D.
The ball reached a maximum height of 3 feet.

Answers

Answer:

The ball was thrown from a height of 3 feet

Answer:

A. The ball was thrown from a height of 3 feet.

Step-by-step explanation:

If you put 0 for t, then you get 3 as a result of calculation.

It means the start point is 3 feet, in other words, the ball was thrown from 3 feet from the ground.

Correct choice is A.

Use the distributive property to write an equivalent expression. 2(3x+10)

Answers

Answer:

[tex]6x+20[/tex]

Step-by-step explanation:

[tex]2*3x=6x[/tex]

[tex]2*10=20[/tex]

The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?

Answers

Answer:

There are 36 girls

Step-by-step explanation:

So you find find out how much boys are there for one number in the ratio

48 divided by 4 = 12

So there are 12 people in one radio number

Multiply that by how much girls there are in the ratio

12 * 3 = 36

There are 36 girls

Answer:

36 girls

Step-by-step explanation:

3 ÷ 4= 0.75

0.75 × 48=36 girls

Hope that helps :)

Sorry if wrong

Factor completely: 5x^2-11x+6

Answers

(x-1)x(5x-6)

Answer^^^^

Stephanie is making a scale model of a room that is 14.5 feet long. She is using the scale 1 inch= 2.5 feet. How long is Stephanie's model?​

Answers

Answer:

Step-by-step explanation:

what is the value of u?

Answers

Answer:

U=6

Step-by-step explanation:

180=71+67+7u

42=7u

u = 6

Step-by-step explanation:

Okay so first every triangle like this should equal 180. 71+67=138.

180-138= 42

42/7=6 so

u=6



Solve 10 ÷ one fifth = ___

Answers

10 / 1/5 = 50

hope this helps!

Sophie planted 1/5 of the seeds in the garden Lucas planted some to 2/3 of the garden still needs seeds how much did Lucas plant

Answers

Answer:

Go to m a t h w a y . c o m

Step-by-step explanation:

it can help you will of your math problems

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