"If a = − 9 and b = − 6, show that (a−b) ≠ (b−a)."

Answers

Answer 1

Answer:

Step-by-step explanation:

LHS  a - b = -9 - (-6) = -9 +6 = -3

RHS  b-a = -6 - (- 9) =  -6 +9 = 3

as LHS not equal to RHS

a-b not equal to b-a

Thus proven


Related Questions

what is the probability of the two numbers being the same if two regular dice are thrown?

Answers

Answer:

1/6

Step-by-step explanation:

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6

6/36 = 1/6

Answer:

1/6.

Step-by-step explanation:

The favourable outcomes are 1,1  2,2  3,3  4,4   5,5 and 6,6  = 6 outcomes.

All the possible outcomes for 2 regular dice = 36.

Therefore the required probability = 6/36

= 1/6.

In the rhombus, mZ1 = 140. What are mZ2 and mZ3? The diagram is not to scale.

Answers

gjgb go ftc in the class is not a short time to be be free and ear is not a short time to

Assuming both triangles of the rhombus are equal to each other, mZ1=140, which would also mean mZ2 (opposite side of mZ1) is also 140. Which eliminates choices C and D.

My Ultimate guess is choice B (mZ2=140, mZ3=20)

5. In 2015, Texas led the nation in the percentage of people who lacked health insurance (21.6% of the population). It is known that, nationally, 5% of patients account for 50% of the costs of healthcare. These are the “high cost” patients Assume* that: Being a high cost patient and being uninsured are independent characteristics Insured and uninsured people become “patients” at the same rate The uninsured and high cost patients in Texas are evenly distributed across the state, and that high cost patients are evenly distributed across insured and uninsured patient populations a. What is the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured?

Answers

Answer: 0.108

Step-by-step explanation:

Since the probability of the uninsured is 21.6% of the population, then the probability of insured will be:

= 1 - 21.6%

= 78.4%

The probability of high cost patients is 5%. Therefore, the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured will be:

= 5% × 21.6%

= 0.05 × 0.216

= 0.108

Can someone please help me with this?!!!

Answers

Step-by-step explanation:

A.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7

Write 9/7 as a mixed number. Give your answer in its simplest form.

Answers

Answer:

1 2/7 ........................................

Answer:

1 2/7.

Step-by-step explanation:

Divide 9 by 7 :- this gives 1 with a remainder of 2.

So it is 1 2/7.

Pleaseeeeee o someone help me

Answers

Answer:

63 cm and 63 cm

Step-by-step explanation:

Both are 63 cm because 9*7 is 63, and those are the measurements of both faces

With a.b.c=1 and a+b+c=1
Prove that:

Answers

Answer:

HOPE IT HELPS PLZ MARK ME BRAINLIEST

Step-by-step explanation:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

=1/(1+a+1/b)+1/(1+b+ab)+1/(1+1/ab+1/a)

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

How many students rank themselves as introverts? Demonstrate your work!!

Answers

Answer:

36 (maybe...)

Step-by-step explanation:

Technically there is no way to answer this question, it says that 120 ADULTS were surveyed and then asks how many STUDENTS rank themselves as introverts.  But if we a supposed to assume that all adults are students:

The ratio of 3:7 means that for every 3 introverts, there are 7 extroverts.

In other words for every 10 people (total introvert+extrovert) there are 3 introverts.

So to find the number of introverts in the group of 120, just multiply by 3/10 or 0.3

The answer would be 36

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(3, 3) B(5, 3) C(8,1) D(1,1)

Answers

Answer:

No, a quadrilateral with the given vertices is not  an isosceles trapezoid.

Step-by-step explanation:

We are given that

A(3,3), B(5,3), C(8,1), D(1,1)

Slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB=[tex]\frac{3-3}{5-3}=0[/tex]

Slope of BC=[tex]\frac{1-3}{8-5}=\frac{-2}{3}[/tex]

Slope of CD=[tex]\frac{1-1}{1-8}=0[/tex]

Slope of AD=[tex]\frac{1-3}{1-3}=1[/tex]

Slope of AB=Slope of CD

When slopes of two lines are equal then the lines are parallel.

Therefore, AB is parallel to CD.

When one pair of quadrilateral is parallel then the  quadrilateral is trapezoid.

[tex]\implies [/tex]ABCD is a trapezoid.

Distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

Length of BC=[tex]\sqrt{(8-5)^2+(1-3)^2}[/tex]

Length of BC=[tex]\sqrt{9+4}=\sqrt{13}[/tex] units

Length of AD=[tex]\sqrt{(1-3)^2+(1-3)^2}[/tex]

Length of AD=[tex]\sqrt{4+4}=2\sqrt{2}[/tex]

Length of AD is not equal to length of BC.

Hence, trapezoid is not an isosceles trapezoid.

a regular Pentagon with sides 40cm what is the perimeter​

Answers

Perimeter = namely the length of outside bordering,

well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.

Help if possible, thanks

Answers

Answer:

C

Step-by-step explanation:

Sara's speed is 10mph while Bob is 8mph

The third option is correct
Sara did 10
Bob did 8
The difference is 2
Hope that helped *smiles*

Find the value of x.
Answer choices
4 4/5
3 1/3
4 2/3
3 2/3

Answers

Set up a ratio of matching sides:

4/6 = x/5

Cross multiply

6x = 20

Divide both sides by 6

X = 3 1/3

Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have

Answers

9514 1404 393

Answer:

  S = {2, 3, 5, 7, 11, 13}

  2^6 = 64 subsets

Step-by-step explanation:

The list of primes less than 15 is ...

  S = {2, 3, 5, 7, 11, 13}

__

A set with n unique elements has 2^n unique subsets, including the empty set and the full set. This set of 6 elements has 2^6 = 64 subsets.

express the ratio as a fraction in the lowest term.3600s:2hours​

Answers

Step-by-step explanation:

3600s=1hr

so, 1hr:1hr

1:1

Based on the concept of fractions and the information in the question, the fraction form in the lowest term is 1/2.

What is Fraction?

Fraction is a term that is used to describe the portion/part of the whole thing. It represents the equal parts of the whole.

Generally, the term fraction has two parts, namely numerator and denominator.

Hence, in this case, to express the ratio as a fraction in its lowest term, convert both units to the same unit of time.

1 hour is equal to 3600 seconds so 2 hours is equal to 2 * 3600 = 7200 seconds.

Now the ratio is 3600 seconds to 7200 seconds.

To simplify this ratio we can divide both terms by their greatest common divisor which is 3600.

So the simplified ratio is 1:2.

Therefore, in this case, it is concluded that the fraction form in the lowest term is 1/2.

Learn more about fraction here: https://brainly.com/question/30154928

#SPJ2

The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

Answers

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

[tex]x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18[/tex]

what is the correct equation ?

Answers

Answer:

B

Step-by-step explanation:

B is the correct equation

There are 7 black balls and 8 red balls in an urn. If 5 balls are drawn without replacement, what is the probability that exactly 4 black balls are drawn

Answers

Answer:

(5/20)*(4/19)*(3/18)*(2/17) = 120/116280 = .001 = .1%

Step-by-step explanation:

For an analysis of variance comparing three treatment means, H0 states that all three population means are the same and H1 states that all three population means are different.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

The analysis of variance may be described as an hypothesis test which is used to make comparison between variables of two or more independent groups. The null hypothesis is always of the notion that there is no difference in the means. While the alternative hypothesis is the opposite, for two independent groups, the alternative hypothesis is that both means are different, or not equal or not the same. However. When we have more than 2 independent groups, then the alternative hypothesis is stated as : 'the means are not all equal'. This means that the means of each group does not all have to be different, but the mean of one group may be different from that of the other groups or the mean of two groups are different from the other groups and so on.

Sidney's retirement party costs $28, plus an additional $1 for each guest she invites. What is the maximum number of guests there can be if Sidney can afford to spend a total of $44 on her retirement party?

Answers

Answer:

16 guests

Step-by-step explanation:

Firstly, we know Sidney's retirement party costs a starting amount of $28. We also know that she can only spend $44 on her retirement party. The easiest way to do it in my opinion is subtract 28 from 44, giving you 16. Since we know that each guest is only $1, we know that the maximum number of guests Sidney can afford is 16 guests. I hope this helped and please don't hesitate to ask for clarification!

$44-$28=$16

$16÷$1=16 guests at most

The park is 18 miles east of my home. The library is 12 miles north of the park. How far is my home from the library?
35 miles
21.6 miles
8.2 miles
18.6 miles

Answers

Answer :
21.6
Explanation :
Use Pythagorean theorem to solve it a^2+b^2=c^2

Answer:

21.6 miles

Step-by-step explanation:

If you draw, it'll be a right triangle with legs 12 miles and 18 miles, we need to find the hypotenuse.

So,

[tex] \sqrt{ {12}^{2} + 18^{2} } [/tex]

[tex] = \sqrt{144 + 324} [/tex]

[tex] = \sqrt{468} [/tex]

[tex] = 6\sqrt{13} [/tex]

6√13 ≈ 21.6

Answered by GAUTHMATH

Joshua and his children went into a grocery store and will buy bananas and peaches. Each banana costs $0.70 and each peach costs $2. Joshua has a total of $25 to spend on bananas and peaches. Write an inequality that would represent the possible values for the number of bananas purchased, bb, and the number of peaches purchased, p.p.

Answers

Dang, now I just got confused

HELP ASAP please and thanks !!!

Answers

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

7 = 7t

t = 1

16 - 2t = 5t + 9
Subtract nine for both sides
7 - 2t = 5t
Add 2t on both sides
7 = 7t
Divide by 7 for both sides
1 = 1t

Graph 9x + 15y = 15.

Answers

Using desmos we can see the x and y intercept

What is the slope of (-4,1) and (-1,3)

Answers

Answer:

slope is 2÷3 of giving line points

The following data were obtained from 4 people Pre-Test Value Post-test Value 43 42 28 29 31 30 28 25 You may also assume that the sample standard deviation for the four differences is 1.6. What is the correct t-statistic and the degrees of freedom for these data

Answers

Answer:

Test statistic = 1.25

Degree of freedom = 3

Step-by-step explanation:

The following data were obtained from 4 people

Pre-Test Value Post-test Value __ d

43 ________42 _________ 1

28_______ 29 ________ - 1

31 ________30 _________ 1

28 ________ 25 _________ 3

μd = (1 + - 1 + 1 + 3) / 4 = 4 /4 = 1

The mean difference, μd = 1

The standard deviation of difference, Sd = 1.6

The test statistic = μd / (Sd / √n)

Test statistic = 1 / (1.6/2) = 1 / 0.8

Test statistic = 1.25

Degree of freedom, = n - 1 = 4 - 1 = 3

Can someone help me please..

Answers

Answer:

linear function

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The graph is a straight line, so it's a linear function.

Answer: B

What are the coordinates of the point shown on the coordinate plane?​

Answers

Answer:

(5,4)

Step-by-step explanation:

The coordinates of a point are the x and y-values of a point. It is organized like (x,y). The x-value is written first and then the y-value. The x-value is the "run" or the horizontal value; so, the value of the axis on the bottom. The y-value is the "rise" or the vertical value. The axes are also labeled. For this graph, the x-value is 5 and the y-value is 4. The final answer is (5,4).

X+ y = 18
X = 2y
What is the solution of the system of equations?
i need the answer asap lol!!!!

Answers

Answer:

( 12 , 6 )  or x=12,y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

if  x = 2y then

2y+y=18

3y=18

=6

Determine the equation of the line that is parallel to the given line, through the given point.

3x+2y = 10; (8,-11)

Answers

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]3x+2y = 10[/tex]

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

[tex]3x+2y = 10[/tex]

Subtract 3x from both sides

[tex]2y = -3x+10[/tex]

Divide both sides by 2

[tex]y = -\frac{3}{2} x+5[/tex]

Now, we can identify clearly that [tex]-\frac{3}{2}[/tex] is in the place of m in [tex]y=mx+b[/tex], making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for [tex]-\frac{3}{2}[/tex] as well. Plug this number into [tex]y=mx+b[/tex]:

[tex]y=-\frac{3}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{3}{2}x+b[/tex]

Plug in the given point (8,-11) and solve for b

[tex]-11=-\frac{3}{2}(8)+b\\-11=-\frac{24}{2}+b\\-11=-12+b[/tex]

Add 12 to both sides

[tex]1=b[/tex]

Therefore, the y-intercept of the line is 1. Plug this back into [tex]y=-\frac{3}{2}x+b[/tex]:

[tex]y=-\frac{3}{2}x+1[/tex]

I hope this helps!

Tom's graduation picnic costs $4 for every attendee. At most how many attendees can there be if Tom budgets a total of $36 for his graduation picnic?

Answers

36 divided by $4 = 9

If Tom budgets $36 for his graduation, means that was how much that was earned.
Other Questions
HELP ASAP PLEASE Which non-mineral nutrient is essential for photosynthesis?- Hydrogen- Potassium-Nitrogen - Carbon Dioxide Which of the following statements is a claim of definition? Marla scored 70% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 70th percentile in mathematics. Explain the difference in these two scores. Governments use fiscal policy to decide:A P E X You are working several plans and community organizations to sponsor an educational event. When putting together advertisements for this event, what should you do what is the anatomy of a human hand? Invent dialogue and revise the following paragraph. Use proper spelling and grammar.Leah got distracted talking to someone on the bus about her phone. When she got off at the mall, she realized she had left her purse on the seat! (10 points) A defendant was charged with two separate crimes related to vandalism in a national park. Each of the crimes was punishable by a maximum of six months imprisonment and a $5,000 fine. The defendant requested a jury trial, but his request was denied. The defendant proceeded to trial before a judge in federal court, and was subsequently convicted on both charges. The judge sentenced the defendant to five months of imprisonment for each charge, to be served consecutively, as well as a fine of $5,000 for each charge. The defendant appealed his conviction, arguing that he was entitled to a jury trial. Was the defendant entitled to a jury trial?A: No, because the defendant's actual sentence for each offense was less than six months.B: No, because the maximum sentence for each offense was six months.C: Yes, because the combined maximum sentence for the offenses was 12 months.D: Yes, because the sizeable fine makes each crime a serious offense. Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum. Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like. What is the midpoint of the segment shown below?10A. (5,-4)(16,5)B. (10,-4)C. (10,-2)1015(-6.-9)D. (5,-2) The angular momentum quantum number (l) value of 0 indicates the ________ subshell. PLEASE HELP!!! What is the equation of the line perpendicular to 2x 3y = 13 that passes through the point (6, 5)? ___________ colors come forward and command attention. ______________ colors recede away from our eyes and tend to fall into the background of a design. which method helps prevent communicable disease please help answer these!!!!Jimmys family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 81) Find the mean for his data set of days that had a temperature above 400C.2) Find the median for his data set of days that had a temperature above 400C.3) Find the mode for his data set of days that had a temperature above 400C.4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data? A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall? what is an RTF file? Do you think it's important to eat with your family? Why? The base rate of managerial incompetence is estimated at 25 to 30 percent. Group of answer choices True False PLEASEE NEED HELP ASPMatch each organelle with the main life function(s) it helps the cell perform. Each basic function of life can be used morethan once, and many organelles will have more than one possible answer. Choose one answer only,Organelle list - nucleus, mitochondria, golgi apparatus, endoplasmic reticulum, ribosomes, lysosomes, vacuoles, cell membrane, chloroplast, cell wallThe answer could either be 1. reproduction 2. interaction with the environment 3. growth 4. uses energy 5. waste production (each function can be used more than once)