The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared

Answers

Answer 1

Question:

The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]

Answer:

[tex]2021^2 - 2022^2 = -4043[/tex]

Step-by-step explanation:

Given

[tex]A^2 - B^2 = (A + B) (A - B)[/tex]

Required

Solve:  [tex]2021^2 -2022^2[/tex]

In: [tex]2021^2 -2022^2[/tex]

[tex]A = 2021; B = 2022[/tex]

[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes

[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]

[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]

[tex]2021^2 - 2022^2 = -4043[/tex]


Related Questions

Find the VOLUME of the rectangular prism below.
Volume =
cubic cm
21 cm
12 cm
38 cm

Answers

The answer is 2x2+5x-18. I know this is right because i passed my Algebra 2 class with a 98.

Find the area of the shaded region.

Answers

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

radical form. ooooooooooo

Answers

Answer:

by using Pythagoras law

h²=p²+b²

7²=4²+b²

b²=49-16

b=√33=5.744

third side is 5.744

Answer:

missing length = 5.74

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 7^{2} - 4^{2}[/tex]

[tex]a^{2} = 49 - 16[/tex]

[tex]a^{2} = 33[/tex]

[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]

[tex]a = 5.74[/tex]

20 POINTSS PLEASE HELP

Answers

Answer:

14 units

Step-by-step explanation:

it's 7 the length of a shape doesn't change when it's just reflected over the x or y axis

PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!!

Zhane spins a spinner 50 times and records the results of
each spin in a table. Based on the data, which of the
following could describe the spinner Zhane used?

A. The blue section is twice as large as the red section
B. The red section is smaller than the blue and green
sections combined
C. The green section is larger than the yellow section
D. The red and blue sections combined are larger than the
green and yellow sections combined.

Answers

Answer:

The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20

Answer:

D

Step-by-step explanation:

Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?

Answers

Answer:

60 packets

Step-by-step explanation:

Given that :

Unit cost of 20 packets

$5.49 / 20 =$0.2745

Unit cost of 60 packets :

$10.97 / 60 = $0.1828333

Unit cost of 90 packets :

$18.95 / 90 = $0.2105555

The 60 packets has the least cost per unit, hence it is the best buy.

is it weird that im scared of my boy bsf

Answers

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?

Answers

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

Write a related function for - 6x + 8x - 5 = 3.

pls just explain and show your work if you can and ill give brainlest and 5 star​

Answers

Answer:

x=4

Step-by-step explanation:

-6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

Answer:

X=4

Step-by-step explanation:

Help? cant seem to figure this out. Appreciate it!

Answers

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

f(x) = x2. What is g(x)?

Answers

Answer:

Step-by-step explanation:

x-2

The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle

Answers

Answer:

An acute angle is an angle less than 90°

Answer:

A. Acute angle

Step-by-step explanation:

The angle which is less than 90 degrees is known as the acute angle.

Linear inequality systems graphically

Answers

To graph the solutions of a system of inequalities, graph each inequality and find the intersections of the two graphs.

what is this question called?

Answers

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

help please ill give brainliest

Answers

I think maybe 150 because when you add them all up you only get 620 so you would need 30 more so I just added 30 to 120 and got 150

i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.

Answers

Answer:

jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj

What is the surface area of the triangular prism?


A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2

Answers

D is the best answer choice

find the value of 2\5of rs75​

Answers

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

https://brainly.com/question/31408211

#SPJ2

find the value of given expression

[tex] \sqrt[3]{9 - 1} [/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]

help plz!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: D

Explanation:

Use the figure and information below to find the length of each line segment
7th grade math please help me

Answers

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

What is the length?

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

the graphs below have the same shape. what is the equation o the red graph?

Answers

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

[tex]y = (x + 4)^2-2[/tex]

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?

Answers

Answer: 43.48 Pounds

Step-by-step explanation:

Given

Elizabeth has 43.479 pounds of soil

Rounding off to the nearest tenth of a pound

Consider 79 which occurs after the decimal place

Converting it to 80 as it is nearest to 80

So, we can write 43.479 as 43.48 Pounds

10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?

Answers

Answer:

Step-by-step explanation:

x=3

PLEASE HELP ME, IM STRESSED OUT:(

Answers

Answer:D

Step-by-step explanation:

1 MATH PROBLEM POINTS + BRAINIEST

Answers

Multiply both sides by 1/4

Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?

Answers

Answer:

the area of the square = x² = 147,852 ft²

Step-by-step explanation:

Given;

two sides of a right triangle, = 222 units and 444 units

let the third side of the right triangle that shares a side with a square = x

the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.

x² = 444² - 222²

x² = 147,852

x = √147,852

x = 384.52 ft

Therefore, the area of the square = x² = 147,852 ft²

Answer:

20 = x^2

Step-by-step explanation:

to find c^2 you need to do:

a^2 + b^2 = c^2

so- 2x2 + 4x4 = 4+16= 20

20 = x^2 and since x is squared you do not find the square root

What’s the slope m and y-intercept b of both these images?

Answers

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

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