is (-a + b)² = a² - 2ab + b² right or wrong, and why?

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf Right.}[/tex]

Step-by-step explanation:

[tex](-a+b)^2[/tex]

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:


Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68


What is the constant of proportionality?
9
17
34
36

Answers

Answer:

The answer is a

Its a because 13 times 3 is 39

13 times 4 is 52

and 13 times 5 is 65

Credit to: alizahalder2007

the answer is a because it is constant

What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?

Answers

Answer:

5/4

Step-by-step explanation:

The original line is

7 - 3 / 4 - 9

4/-5, so the slope is -4/5

Perpendicular means the opposite sign and reciprocal.

5/4

how do you write the equation of the line that passes through the points (-9,4) and (7,-2)

Answers

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.

A bag holding 7 1/5 pounds of mixed nuts will be divided equally among 9 people.
How many pounds of nuts will each person get?

Answers

Answer:

4/5

Step-by-step explanation:

So sorry if im wrong <3

Answer:

Each person will get 4/5, or 0.8 pounds of nuts.

Step-by-step explanation:

First, we need to convert 7 1/5 into an improper fraction, by multiplying

7 x 5 = 35

and adding

35 + 1 = 36

Our improper fraction is 36/5

Now, we can divide

36 / 9

5 /  1

To do so, we need to switch 9/1 to its reciprocal, 1/9, and then multiply

36 x 1 = 36

5 x 9 = 45

Our answer is 36/45

We can simplify our answer by dividing by 9

36 / 9 = 4

45 / 9 = 5

Our final answer is 4/5, or 0.8 pounds of nuts

Can you please help me with this question

Answers

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

|-13| = I do not get how I solve this equation could you please help me

Answers

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

|-13| is 13, its just how far away it is from zero


The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.

Answers

Answer:

h= (2a)/b

Step-by-step explanation:

solved for equation


I need help with this question it Is math ​

Answers

Answer:

.y+1=4(i-2)

Step-by-step explanation:

Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?

Answers

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

in 2020 the attendance at kennedy school's spring festival was 210. in 2021 the attendance was 168. What was tge percent change in the attendance from 2020 to 2022 tound to nearest whole percent

Answers

Step-by-step explanation:

Total change in number of student = (210 - 168)

=> 42

% change = Change/Original no. of students × 100

=> 42/210 × 100

=> 42/21 × 10

=> 20%

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form

Answers

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y = 14
6x - 4y=9

Answers

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

Answer: 5/2, 4/3

explanation: got it from a different verified answer

How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!

Answers

Ok so you have to divide it and you will get 2/7

write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

When looking at a graph, explain how you would know two variables were not proportional.

Answers

Answer:

a straight line that does not go through the origin.

At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.

Which of the three objects casts the longest shadow?

Answers

Answer: The Tree height is 21 feet.

Step-by-step explanation:

Let's convert the measurements to feet:

The Building is 20 feet.

The Tree height is 21 feet.

The Flagpole is 18 feet.

Therefore, the Tree is going to cast the longest shadow since it is the highest.

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

A

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

expand and simplify (x-2)³

Answers

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Identify two ANGLES that are marked congruent to each other on the diagram below


Answers

Answer:

Angle J is congruent to Angle G

J and G are congruent with each other

Question 3 Multiple Choice Worth 4 points) (03 02) A fish is 5 feet below the surface of a lake if its position can be recorded as -5 feet what would the position of o representa o the distance above the surface of the lake O the distance below the surface of the lake O the surface of the lake me height of the fish​

Answers

Answer:

omg u a real one been lloking for this bing bong

Step-by-step explanation:

What is the graph of y- (-1) = -1/2(x-(-2))?​

Answers

Answer:

Y(355-+=098) THAT WHAT I GOT

Step-by-step explanation:

Help figure this out quick!

Answers

The answer is:

12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.

The answer I need for this question is of how to solve this question and not what x is.

Answers

Step-by-step explanation:

You know that all the degrees in a hexagon is 720.

84+87+128+150+103=552

Subtract 552 from 720.

You don't want x so just do 720-552=x

what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work

Answers

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon

Answers

Answer:

21mi/gn

Step-by-step explanation:

7mi/1/3gncalculate the product

7mi/gn/3simplify the complex fraction

So the answer is=21mi/gn

Hope it helps

PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?

A. c = 1.25p B. p = 1.25c

C. c = 3.75p D. p = 3.75c

Please answer asap

Answers

Answer:

The answer is A

Step-by-step explanation:

$1.25*3=3.75

this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)

Answers

8(4-2^6/4)
8(4-64/4)
8(4-16)
8(-11)
-88

Hey there!

8( 4 - 2^{6} ÷ 4)

= 8( 4 - 2^6 ÷ 4)

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 8(4 - 64 ÷ 4)

= 8(4) + 8(-16)

= 32 - 128

= -96

Therefore, your answer is: -96

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

how do you solve 9-3(5-4x)

Answers

Answer:

-6+12x

Step-by-step explanation:

9-15+12xmultiply -3(5-4x), calculate the difference

-6+12x

What is 2 rounded to the nearest whole number?

Answers

Answer:

2

Step-by-step explanation:


regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?

Answers

Answer:

she sold 680 chocolate chip cokies

Step-by-step explanation:

Other Questions
7 1/2 divided by 2 5/8 in simplest form Find the Area andCircumference of thecircle below. Use 3.24 for .A=C= Write the ratio 1 1/3 to 3 1/9 as a simplified fraction Draw a diagram of Escherichia coli bacteria What was the social, political and economic situation in Birmingham, AL before the spring of 1963? Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1). PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW In the accompanying diagram, overline BA perp overline BD and overline BC perp overline BE Which statement is true? Coretta Scott king:When was this speech given? Who was her audience? On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?(6.5, )(5, )(, 5)(, 6.5) Which character trait does NOT describe George Willard?Embarrassed by attentionArtisticInexperiencedYoungPLS HURRY THANK YOUU!!! :) A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream NEED HELP ASAP WILL MARK BRAIN A zither is a musical instrument. Would you pluck it or blow into it? Which sentence states Newton's second law? Write your answer as a fraction in simplest form.6+(434)+(218) The equator has light closer to 90 degrees, at the poles the angle is lower than 90 degrees. Use this information and refer to the data from Table B to explain why the tropics (near the equator) are hotter than the arctic region (north/south poles). Be sure to include data from Table B in your answer. A new moon is discovered orbiting Neptune with an orbital speed of 9.3 x103 m/s. Neptune's mass is 1.0 x1026 kg. A) What is the radius of the new moon's orbit? B) What is the orbital period? Assume that the orbit is circular. (G = 6.673 x10-11 N-m/kg? What is the penalty for hitting below the waist called? Please select all of the things below that are powers shared between the States and the National government.Select 6 correct answer(s)Question 4 options:Establish courtsEnforce lawsEstablish and collect taxesEstablish schoolsConduct electionsBuild roadsDeclare WarBorrow moneyProvide for public safety and welfareAdmit new states Based on the context clues, what do you think debacle means in the following sentence: Custers Last Stand, as the debacle came to be called, unleashed an avalanche of public fury, which boded no good for the Native Americans living on the western Plains?