(a,1/b) and (b,1/a) find the slope of the line joining the points whose coordinates are

Answers

Answer 1

Answer:

[tex]m=\frac{1}{ab}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the points

(a,1/b) and (b,1/a)

substitute

[tex]m=\frac{1/a-1/b}{b-a}[/tex]

[tex]m=\frac{\frac{b-a}{ab}}{b-a}[/tex]

[tex]m=\frac{1}{ab}[/tex]

Answer 2
Final answer:

The slope of the line joining the points (a,1/b) and (b,1/a) is calculated using the slope formula and is found to be 1 divided by the product of a and b, assuming a and b are not equal and neither is zero.

Explanation:

To find the slope of the line joining the points with coordinates (a,1/b) and (b,1/a), we use the slope formula, which is the change in y divided by the change in x. We can write the formula as:

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

Substituting the given points into the formula gives us:

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

If we assume that a does not equal b and neither a nor b is zero, the slope can be calculated by simplifying the numerator and the denominator:

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

The (b - a) terms cancel out, leaving us with:

slope (m) = 1 / (ab)

Therefore, the slope of the line is the reciprocal of the product of a and b.

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Related Questions

1
-
-x+y=-5
9x-y=-11

Answers

Answer:

look at the picture shown

What is 24 % 0.4 in mathematics

Answers

THE ANSWER-

It is 1.66666666667

3 hats and 2 scarves costs £12.
5 hats and 4 scarves costs £21.
Find the cost of a hat.
Find the cost of a scarf.

Answers

Answer: Hat: £3 Scarf: £1.50

Step-by-step explanation:

hope this helps

Final answer:

The cost of a hat is £2 and the cost of a scarf is £1.5, obtained by solving the system of simultaneous equations representing the cost relationships.

Explanation:

To solve this problem, you need to use a method called simultaneous equations. We denote the cost of a hat as 'h' and the cost of a scarf as 's'.

Then, we write down two equations based on the problem:

3h + 2s = 12 (Equation 1) 5h + 4s = 21 (Equation 2)

From Equation 1, we express 'h' as (12 - 2s) / 3. Substituting this into Equation 2 leaves us with a sole variable 's', after calculating this equation, you obtain s = 1.5, Substituting s into the first equation, we get h = 2. So, the cost of a hat is £2 and the cost of a scarf is £1.5.

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Solve the system of linear equations bus graphing
y=1/2x+3
y= -2/3x-5
(1,3)

Answers

Answer:

The solution of  [tex]y = \frac{1}{2} x + 3[/tex]   and  [tex]y = -\frac{2}{3} x - 5[/tex]  is (-6.857, -0.429)

Step-by-step explanation:

The solution of y = 1/2 x  + 3 and y = -2/3 x -5

is (-6.857, -0.429) . The solution is shown in the graph attached.

52.3 is what percent of 1046

Answers

Answer:

it is 5%

Step-by-step explanation:

If the length of the radius of a circle is doubled, how does that affect the circumference and area?

Answers

The circumference will be doubled if radius is doubled

The area will increase four times if radius is doubled

Step-by-step explanation:

We will solve the question in two parts.

One for circumference and one for Area

Circumference:

The formula for circumference is given by:

[tex]C = 2\pi r[/tex]

Here r is the radius.

Doubling the radius means that new radius will be 2r

The new circumference will be:

[tex]C_N = 2\pi (2r)\\C_N = 2(2\pi r)\\C_N = 2C[/tex]

Hence,

The circumference will be doubled if radius is doubled

Area:

The area of circle is given by:

[tex]A = \pi r^2[/tex]

Putting radius equal to 2r

[tex]A_N = \pi (2r)^2\\A_N = \pi (4r^2)\\A_N = 4(\pi r^2)\\A_N = 4A[/tex]

Hence,

The area will increase four times if radius is doubled

Keywords: Circle, area

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URGENT 15 POINTS
What is the greatest possible probability in any experiment?

A. 9/10
B. 1
C. 10
D. 100

Answers

Answer:

B) GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Step-by-step explanation:

The probability of any event E is given as:

[tex]\textrm{Probability of any event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}}[/tex]

Let us assume the the number of TOTAL OUTCOMES of any event E  = n

Now, if the event is a SURE EVENT, then all outcomes are favorable events.

So, the total number of maximum  favorable events   = n

[tex]\textrm{Probability of event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}} = \frac{n}{n} = 1[/tex]

Hence, the GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Find the sum of 2 4/5 + 1 7/15

Answers

The answer is 4 4/5

Answer:

2.73

Step-by-step explanation:

2 4/5 + 17/15

8/5 + 17/15

By Elysium

(24 + 17)/15

41/15

2.73

Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides. Assume both bikers ride at a constant rate. Which biker rides at a greater speed? Include all of your calculations in your final answer.
Time in hours (x) Distance in miles (y)
1.5 17.25
2 23
3.5 40.25
4 46

Answers

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 15 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 15/1

=> y= 15 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

15 > 11.5

which means Jeremy rides at a greater speed.  

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Whích strand of mRNA would be made during transcription using the DNA
strand shown below?
AGC GCT
O A. UCG CGU
O B. TCG CGA
O C. UCG CGA
O D. AGC GCT

Answers

In both DNA and RNA, pairs are formed between cytosine and guanine. In DNA, adenine pairs with thymine, but in RNA it pairs with uracil.

So the corresponding mRNA strand would be

C. UCG CGA

Answer:

UCG CGA

Step-by-step explanation:

8(x+2)=56 HELP PLZZ ANYONE
Use the Distributive Property to solve the equation.

Answers

Answer:

x = 5

Step-by-step explanation:

1. 8 (x + 2) = 56                 Distribute the 8

2. 8x + 16 = 56              Subtract 16 from both sides

3. 8x = 40                      Divide both sides by 8

4. x = 5

What is the constant of proportionality Y/X

Please help! I will give brainliest to CORRECT ANSWER!!

Answers

Answer:

3.5/1

Step-by-step explanation:

(0,0)

(3.5,1)

Kathy found $0.29. Now she has a total of $1.00. How much money did Kathy have to start?

Answers

Answer:

71 cents

Step-by-step explanation: Well it would be $1.00 minus the 29 cents she just got So 100 minus 29 is 71 it’s easy to do it in your head just think of 100 minus 30 and it’s 70 then subtract 1 from 30 and add it to the 70

Answer:

$0.71

Step-by-step explanation:

make $1.00 "100"* and $0.29 "29"* and subtract 100 and 29 to get "71" then turn the "71" into $0.71**

* this is done by making it a percentage by moving two units to the right

** this is done by making it a decimal by moving to units to the left

Use symbols Replace each with a number to make /24 >1/4 > 4/ a true statement

Answers

The numbers that replaces each blank to make the inequality a true statement are 48 and 32. The new inequality is 48/24 > 1/4 > 4/32.

In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:

Less than or equal to (≤).Greater than (>).Greater than or equal to (≥).Less than (<).

Based on the information provided, we can logically deduce the following incomplete inequality;

_/24 > 1/4 > 4/_

In order to make the left-hand side of the inequality true, we must have a number that is greater 1/4 or 0.25;

48/24 = 2

48/24 > 1/4

2 > 0.25 (True)

In order to make the right-hand side of the inequality true, we must have a number that is less than 1/4 or 0.25;

4/32 = 0.125

1/4 > 4/32

0.25 > 0.125 (True).

In conclusion, any number that is greater than 1/4 would make the left-hand side of the inequality true while any number that is less than 1/4 would make the right-hand side of the inequality true.

Complete Question:

Use symbols. Replace each __ with a number to make _/24 >1/4 > 4/_ a true statement.

8m^3 + 2m^3 + 49m^2 .

Answers

Answer:

[tex]m^2(10m+49)[/tex]

Step-by-step explanation:

[tex]Given \ \ 8m^3+2m^3+49m^2\\\\=m^3(8+2)+49m^2 \ \ \ \ \ \ \ (adding\ like\ terms)\\\\=10m^3+49m^2\\\\=10m\times m^2+49m^2\\\\=m^2(10m+49)[/tex]

which graph represents decreasing distance with increasing time?

Answers

Answer: B, the second one

Step-by-step explanation:

In the first one your distance stays the same while your time increases. The second one the distance decreases as the time increases, the third one is a double increase and than the last one the distance stays the same as the time increases and than changes to Decrease increases

Answer:

B is the corrcet one! :)

Step-by-step explanation:

What is the median of the data: 76 54 92 88 76 88 75 93 92 68 88 76 76 88 80 70 88 72

Answers

78 is the answer to the problem

Answer:

Median = 78

Step-by-step explanation:

Arrange the data in ascending order

54  68   70  72  75   76   76   76   76  80  88   88   88   88  88   92   92   93

Total number = 18

Median = average of middle terms = average of 9th and 10th term

= ( 76 + 80)/2 = 156/2 = 78

Emily served 15.08 ounces of soup to her family of 4. How much soup did each person eat?

Answers

Answer: 3.77 ounces is the correct answer hope this helps

Answer:

Step-by-step explanation:

What expression is equivalent to 7m+5.5m(2+m)

Answers

Answer: 12.5m(2+m)

Step-by-step explanation:

Answer: ( 2 + 12.5 ) = 14.5


How many unique ways are there to arrange the letters in the word TIGER?

Answers

Answer:

120

Step-by-step explanation:

Because it is lol

120

What is the method of arranging object?

The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1.

In the words TIGER there are 5 letters T,I,G,E,R.

The number of unique ways are there to arrange the letters in the word TIGER=5!=5*4*3*2*1=120.

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A Physician orders Amoxicillin 500mg by mouth every 8 hours for a patient to treat Bronchitis. The pharmacy has available 250 mg tablets.

How many tablets will you dispense for a 10-day supply?

Answers

Answer:

60

Step-by-step explanation:

2of the 250mg pills 3times a day=6 pills a day for 10 days = 60 pills

Identify the terms and like terms in the expression. 7+4p-5+p+2q

Answers

Final answer:

The terms in the expression are 7, 4p, -5, p, and 2q. The like terms in the expression are 4p and p. To simplify the expression, the like terms can be combined by adding their coefficients.

Explanation:

The terms in the expression are:

74p-5p2q

Like terms in the expression are terms that have the same variable(s) raised to the same power. In this expression, the like terms are:

4p and p

To simplify the expression, we can eliminate the like terms by combining their coefficients. Adding 4p and p, we get 5p. Therefore, the simplified expression is:

7 + 5p - 5 + 2q

It is not possible to find the values of p and q without additional information.

I don't understand this question I'm supposed to be graphing
x+y is equal or less than 3 plz help

Answers

y≤ 3 when x is 0  and x≤ 3 when y is 0

The graph is attached in figure below

Step-by-step explanation:

We need to graph x+y is equal or less than 3

Writing in mathematical form:

[tex]x+y\leq 3[/tex]

For solving we find x and y intercepts

The y-intercept can be found by putting x=0, y is :

[tex]0+y \leq 3\\y\leq 3[/tex]

y≤ 3 when x is 0

The x-intercept can be found by putting y=0, x is :

[tex]x+y \leq 3\\x+0\leq 3\\x\leq 3[/tex]

x≤ 3 when y is 0

Plotting these values on the graph:

The graph is attached in figure below

Keywords: Solving inequalities

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Is x=4 solution to equation, x divided by 8 is 2? Show your work and explain how you know

Answers

No, the solution to the problem would be 16. 16/8 equals 2, while 4/8 is 1/2.

3. Sandwich shop customers can choose the bread and meat they want.
The table shows the sandwiches that were sold on a given day.
White Bread Wheat Bread
Ham
22
24
Turkey
21
22
Tuna
What is the experimental probability that the next sandwich sold will be
tuna on wheat bread?
25
23

Answers

Final answer:

The experimental probability of the next sandwich sold being tuna on wheat bread is 23 out of 137 sandwiches sold, or approximately 0.168.

Explanation:

The problem describes an experimental probability scenario where stopping after having recorded multiple outcomes does not affect the probability of the next outcome. Experimental probability is calculated by taking the number of times an event occurs and dividing it by the total number of trials.

In this case, a total of 137 sandwiches were sold (22 ham on white bread + 24 ham on wheat bread + 21 turkey on white bread + 22 turkey on wheat bread + 25 tuna on white bread + 23 tuna on wheat bread). Out of these, 23 were tuna on wheat bread.

The experimental probability of the next sandwich being a tuna on wheat bread is therefore 23/137, or approximately 0.168, if this same pattern continues.

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Which inequality is equivalent to
−4t≥28
?

Answers

Answer:

t ≤ -7

Step-by-step explanation:

−4t≥28

−4/4 * t ≥ 28/4

−1 * t ≥ 7

-t ≥ 7

t ≤ -7

which ordered pair are solutions to this equation? y=2x-3

Answers

Final answer:

To find the solutions to the equation y = 2x - 3, substitute different x-values and solve for y.

Explanation:

The given equation is y = 2x - 3.

To find the ordered pairs that are solutions to this equation, substitute different x-values and solve for y.

Let's take the first ordered pair (294.5, 61) as an example:

Plug in x = 294.5 into the equation: y = 2(294.5) - 3Simplify: y = 589 - 3 = 586

Therefore, the ordered pair (294.5, 61) is not a solution to the equation y = 2x - 3.

Repeat the same process for the other two ordered pairs to determine if they are solutions to the equation.

What is the value of x in the solution to the system

Answers

Answer:

whats the equation???

Step-by-step explanation:

A function g(x) has x-intercepts at ( 1/2,0) and (6,0). Which could be g(x)?
g(x) = 2(x + 1)(x + 6)
g(x) = (x-6)(2x - 1)
g(x) = 2(x - 2)(x-6)
g(x) = (x + 6)(x + 2)

Answers

g(x) = (x-6)(2x - 1)

Step-by-step explanation:

when you expand, it will be 2x²-13x+6=0

when you factories the quadratic equations,

the answer will be 1/2 and 6

Answer:

g(x) = (x-6)(2x - 1)

Step-by-step explanation:

GHI = JKL. Which statement is FALSE.!?

Answers

Answer choice C is false
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