what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy


Related Questions

A bottle and a cork together cost Rs 8. The bottle costs R.s 6 more than the corkFind the cost of
both of them.​

Answers

Answer:

Step-by-step explanation:

If the cost of cork is $1 then 6 more than that is the cost of bottle so

1 + 6 = 7

Cist of cork = 1

Cost of bottle = 7

Total = 7 + 1 = 8

Karen bought cupcakes for her sister's birthday party. 3 cupcakes had sprinkles on top. The other 27 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

Answers

Answer:

10%

Step-by-step explanation:

so

3 cupcakes had sprinkles

27 didn't have sprinkles

which means that there are a total of 30 cupcakes, (because 3 + 27 is 30)

so then set up a proportion

part/whole = percent/one hundred

substitute in the given values

3 / 30= precent/100

simplify

1/10 = precent/100

you don't have to use cross products here because it is pretty obvious that 10 * 10 = 100 so then just multiply 1/10 by 10 and you get your answer

percent = 10

Name the values of the 9s in the number 1,998.

Answers

Answer:

1,9 (900) 9 (90) 8

Step-by-step explanation:

The first nine equals 900, and the second equals 90.

if you have 50$ and want something that cost 28$, how much money would you have

a)23
b)35
c)42
d)3.2
e)22

Answers

Answer:

e, 22

Step-by-step explanation:

$50-$28=$22

e) 22

Find the measurement of x

Answers

Answer:59

Step-by-step explanation: because a triangle equals 180* and 83+38 = 121 so the x would equal 59


WILL MARK BRAILYIST hellllpppp plzzzz

Answers

The answer is: 58 degrees

A plumber charges a fixed rate of $40 per job plus $10 for each hour, h, that he works at the job. Which equation models the total amount the plumber charges, y, if he works h hours?

Answers

Answer:

it says how many total so i know we are doing addition we are going to add 40+10=50 so the answer is $50 dollars he charges.

2t + 8 is greater than or equal to -4 ( t + 1 ), whats the answer to the equation?

Answers

Step-by-step explanation:

2t + 8 > - 4( t + 1)

2t + 8 > - 4t - 4

2t + 4t < - 4 +8

6t < 4

Divide both sides by 6

T < 4

6

t < 2

3

I think that is the answer

Hope it helps :)

Please be careful about the sign

72x–16y=1,440 write in slope intercept form

Answers

Answer:

y=9/2x -90

Step-by-step explanation: I know allLlLLLlLLLllLll...jk i dont (:

Answer:

Answer Below

Step-by-step explanation:

Hope this helps! <3

the average weight of a nine-banded armadillo is 4.5 kilograms what is the armadillo average weight in pounds?(1kg =2.2 Ib )

Answers

Answer:

9.9lb

Step-by-step explanation:

2.2*4.5=9.9

Answer:

9.9 lb

Step-by-step explanation:

4.5 x 2.2 = 9.9

Need all the answers

Answers

3. yes 4. no 5. yes 6. complimentary: RTS and UWV, supplementary: QTS and UWV 7. complimentary: GLN and NLJ, supplementary: GLJ and JLK

Calculate the area of this trapezium. 7.9cm , 6.2cm and 10.8cm

Answers

Answer:

Formulae: 1/2(a + b)*h

1/2 x (7.9 +10.8)* 6.2

1/2 x (18.7)* 6.2

1/2 x 18.7 x 6.2 = 57.97

Solve for the indicated variable. 5y + 4x = 6 for x
solve for x
x=

Answers

Answer:

x = 3/2 - 5y/4

Step-by-step explanation:

5y + 4x = 6

-5y             -5y

4x = 6-5y

/4     /4 /4

x = 6/4 - 5y/4

x = 3/2 - 5y/4

Move all terms that don't contain  x  to the right side and solve.

Answer:........

Step-by-step explanation:

Jason earns $28 for every 4 lawns he mows.

PLZ HELP ME IM GIVING 40 POINTS
. Jason earns $28 for every 4 lawns he mows. If he wants to make $140, how many lawns does he need to mow?

Answers

Answer:

This could easily be answered with a culculator but the answer is 20.

Step-by-step explanation:

5x4=20

Given: m || n, ∠1 ≅ ∠3
Prove: p || q

Answers

Answer:plz more info

Step-by-step explanation:do u have a pic of this question

Answer:

do u have a pic

Step-by-step explanation:

not enough info

The number of years that Seth has been on the soccer team is 2 less than 5 times the number of years that Mark has. In total, the boys have 10 years. How long has Seth been on the soccer team?

Answers

Answer:

8 years

Step-by-step explanation:

can someone please help me asapp, I’ll mark brainlist!!!

Answers

Answer:

Step-by-step explanation:

They tell you that x is the number of shirts, then say that the number of shirts is equal to 5. So just plug it in

y = 2.5*5

y = 12.50$

Answer:

C (12.50)

Step-by-step explanation:

2.50 x 5 = 12.5

PLEASE HELP ASAP WILL GIVE BRAINLIEST!!) The function f(x) = 2x + 4 is shifted 3 units to the right to create g(x). What is g(x)?

Answers

g(x)= 2(x-3)+4 (just writing this because my answer has to be 20 characters)

I need help finding the values of x and y!!

Answers

Answer:

x= 22

y = 35

Step-by-step explanation:

The base angles of a isosceles triangle are equal

3x-11 = 2x+11

Subtract 2x from each side

3x-2x -11 = 2x-2x+11

x-11 = 11

Add 11 to each side

x-11+11 = 11+11

x = 22

The sum of all the angles in a triangle is 180

3x -11 + 2x+11 + 2y = 180

Combine like terms

5x +2y = 180

5*22 + 2y = 180

110 + 2y = 180

Subtract 110 from each side

110+2y-110 = 180-110

2y = 70

Divide by 2

2y/2 =70/2

y = 35

I will give brainliest to whoever gives a good answer!


What is the result when any 2 integers are multiplied? (write down what happens)


a positive integer (integer stays positive)


a negative integer (two negative equals a positive)


an integer


an even number


*Edited

Answers

Answer:

when any 2 integers are multiplied it   becomes an integer

13. HELP PLEASE ASAP!!!!!!!

Answers

1)Exponential
2)Neither
3)Linear

Answer:The first one is exponential. The second one is absolute value. The last one is linear

Step-by-step explanation:

If absolute value is not an option, call it linear

What is minus 6 plus 2?


-4


8


4

Answers

Answer:

-4

Step-by-step explanation:

-6+2=-4

Minus 4 is the answer

2x(X-5)+6=24 X=numar necunoscut

Answers

Answer:

2x² + 6 = 34x

Step-by-step explanation:

2x² - 10x + 6 = 24x

Collect like terms

2x² + 6 = 24x + 10x

2x² + 6 = 34x

Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is inches thick?

Answers

Answer:

21

Step-by-step explanation:

cuantos triangulos tiene un octagono ?

Answers

Answer:

8

Step-by-step explanation:

Se divide el octógono en ocho triángulos (T1, T2, T3, T4, T5, T6, T7 y T8) . Estos triángulos cumplen que uno de sus lados es un lado del octógono y que todos confluyen en un mismo punto interior del octógono.

ATTENTION: TRY YOUR HARDEST AND ILL GIVE YOU BRAINLIEST!!!I need the most accurate answers, so only try if you know it: Ill give you brainliest x 4 if you are correct, for number 2 you need to do 1. A line goes through points (7, 3) and (-1,5). Write the equation of the line in POINT-Slope FORM. Show your work, so please hand write it, circle your answer! 2. A line goes through the points (7,3) and (-1,5). write the equation of the line in slope intercept form. Show your work so hand write it please, and attach it to your answer, circle your answer!. 3. Does the point (-4,3) fall on the graph of this line? (the line described in questions #1 and #2). How do you know? Show your work __________ALGEBRAICALLY. (That is, dont draw me a graph... show me using numbers, variables, and/or symbols). PLEASE TRY TO GET DONE TODAY ACCURATE ANSWERS ONLY

Answers

Answer:

waa ;-;

Step-by-step explanation:

sorry ill put it here monday

Answer:

;0

Step-by-step explanation:

hi

At Dorothy's Hair Salon, 4 gallons of shampoo will last 3 weeks. She has 7 gallons of shampoo. How much more must she order if she wants to have enough for 12 weeks?

Answers

Answer: 4x4=16-7=9gallons

She will order 9 gallons

Step-by-step explanation:

Which value represents the largest weight?
1 3.58 metric tons
2 3.09 metric tons
3 323 metric tons
4 314 metric tons

Answers

Answer: 3, 323 metric tons

Step-by-step explanation:

Three consecutive odd numbers sum to 1,245. What are the three numbers? ​

Answers

Answer:

413, 415, 417

Step-by-step explanation:

Answer:

414, 415, 416

Step-by-step explanation:

Consecutive numbers means they come one after another, like 1,2,3,4,5... So they all follow the formula x, x+1, x+2, x+3...x+n.

Since there are 3, we can say that x+(x+1)+(x+2)=1,245.

Simplify that to 3x+3=1,245, and then subtract 3 from both sides.

We get 3x=1,242. Divide that by 3, and you get x=414.

Add 1 and 2 to 414, and you get 414, 415, and 416.

You can add them up to check.

There are 3 points on the plane.Explain or determine whether point C is closer to point A or point B.

Answers

Point C us closer to point B because if you connected the points B would be in the middle of C going to A line.

Step-by-step explanation:

I hope I helped!

The perpendicular line from a point to a line is the shortest distance from the point to the line

With regards to the three points on the plane, point C is closer to point B

The reason point C is closer to point B is as follows:

The known parameter is;

Three points, A, B, and C, are located on a plane

Required:

To explain or determine whether point C is closer to point A or point B

Method:

Define, the relationship between the destination points A, and B

Find the shortest distance from point C, to the definition of points A, and B

Solution:

The relationship between points A, and B is that they form the line segment AB

The shortest distance from a point C to a line segment AB in Euclidean geometry is the  perpendicular distance from the point C to the line segment AB

The line which best approximates the perpendicular line and therefore,

shortest distance from C to AB is the line segment CB

CB represents the shortest line and therefore distance from C to AB, that is

CB is shorter than line segment CA and which shows that it is shorter to go

from C to B, than from C to A or point C is closer to point B than point A

Learn more about Euclidean geometry here:

https://brainly.com/question/24245427

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