(2x+3y)²+(2x-3y)²

a) 4(2x)(3y)
b) 4(2x)(4y)
c) 6(3x)(5y)
d) 2((2x)²+(3y)²)
e) 2((x)²+(y)²)

Answers

Answer 1

Answer:

d) [tex]2 ({(2x)}^{2} + {(3y)}^{2} ) \\ [/tex]

Step-by-step explanation:

[tex] {(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\[/tex]

Answer 2

Step-by-step explanation:

d num i think 2((2x)^2+(3y)^2)


Related Questions

HELP….ILL GIVE BRAINLIEST

tickets to an all star game cost $ 3 dollars a child 5 for an adult 90 tickets were sold and 328 dollars were made.how many of each ticket were sold

Answers

Answer:

Step-by-step explanation:

The answer is 65 adults and 1 child

We have to multiply enough to get 328

So 5x65=325

1x3=3

In other words

65 times $5 = $325

1 time $3= $3

= The total amount sold of $328

4. Brice found three recipes for blueberry syrup. Of the ingredients, the ingredients only
differed on the amount of blueberries and sugar:
Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar
Which recipe will be the sweetest?
A Classic Blueberry syrup: 6 cups blueberries and 2 cups sugar
B Homestyle Blueberry syrup: 2 cups blueberries and 1/2 cup sugar
Country Blueberry syrup: 20 cups blueberries and 7 cups sugar

Answers

The answer would be A&C) the classic blue berry syrup because for each cup on blueberries you’re using 1/3 cup of sugar. Whereas, if you made the home style, you would be using 1/4 cup of sugar per cup of blue berries.

pls help asap!!!



-------------------

Answers

Answer:

C

Step-by-step explanation:

Area of circle = πr²

Circumference of circle = 2πr

1384.74=πr²

1384.74/π=r²

r=√1384/π=20.9947

2πr=2π(20.9947)=131.88m

Hello, please help :) It’s about tables, I have ADHD trouble understanding as well (Please give explanation so I can understand)

Answers

a. 240 - 144 = 96 Adult males

260 - 129 = 131 Female children

b. 275-225 = 50 more children

c. 225/500 simplifies to 9/20 visitors are adults

d. 240:260

e. 144/500 chance that it is a male child

Okay so for a number 1 they want you to subtract the total from the child or adult. so for males, they want you to subtract 240 from 144. 240 - 144 equals 96 so there are 96 adults in males. moving on to the female we have to find how many children there are so, we have to subtract 260 from 129 which will equal 131. 131 is how many children are females.

For "B" we have to work out how many child visitors there are than adults. Easy we just have to subtract 275 from 225 which will equal 50!

Now for question C, we have to write the adult total in the lowest term what they mean by that is a fraction said to be written using the lowest terms if its numerator and denominator are relatively prime, that is, they have no common factors other than 1. So the lowest term for the adult is 9/4

Now for question D, they want us to make a ratio for the number of males and for the number of females. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The ratio for the male is 96:144 (for every 96 adults there are 144 children) The ratio for females is 129:131 (for every 129 female there are 131 children)!

For E it is a probaIlity that there is a 144/500 chance there's a male child! Not much I can explain for E because that's a hard one but that's the answer for E

Please help me ASAP!!!!!!!

Answers

hgjjvbhkml

Step-by-step explanation:

solve the formula for the specified value

v=1/3 bh

solve for b ​

Answers

Answer:

The choice a.

[tex]B = \frac{3v}{h} [/tex]

Step-by-step explanation:

[tex]v = \frac{1}{3} Bh \\ \\ v = \frac{Bh}{3} \\ \\ Bh = 3v \\ \\B = \frac{3v}{h} [/tex]

I hope I helped you^_^

FIND THE MEAN:
GRADES GIVEN
81, 70, 65, 89,70

Answers

Answer:

x-bar = 75

Step-by-step explanation:

81 + 70+ 65 + 89 + 70 =3 375

375/5 = 75

75 sorry if that’s wrong

PLEASE HURRY!!!
Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?

A. 2/5
B. 5/7
c. 7/5
d. 5/2

Answers

Answer:

2/5

Step-by-step explanation:

You have to divide 2 by 5! Which equals 4/10 then simply to 2/5!

Solve the proportions 1/8 = 7/2h

Answers

1/28 if this helped please mark me the brainiest :)

what is the distance between each pair of points. round to the nearest hundredth

(-8, -2) and (6, -1)

Answers

Answer:

square root of 197

Step-by-step explanation:

HELP PLEASESSSSDEDDnkdksksk

Answers

Answer:

x= -3

Step-by-step explanation:

The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x

I don’t know but hope u have a good day and don’t let any1 ruin it

Apps L4L Bookmarks
Reading
100%
Use the information to answer the question.
The graph of a linear system is shown
9
8
7
6
3
21
910
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
SRESET
Jasmine McElroy, ID#***11
Growth: Math 6+ CA 2010
Question # 33

Answers

Answer:

(2, 7)

Step-by-step explanation:

The answer is (2,7)
you find the answer by finding where the two lines meet

Find the total cost of a $32 Uber ride with a 15% tip.

Answers

Answer:

$36.8

Step-by-step explanation:

i just calculated it!

32*15% = 4.8

32+4.8= 36.8

Pls answer this question

Answers

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836

a janpanese chin is a small dog that weight 7 pound how many ounces is 7 pounds

Answers

Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

7 × 16 = 112

What is an equation of the line that passes through the point ( − 3 , − 1 ) and is perpendicular to the line x − 2 y =6

Answers

Answer: y = -2x - 7

Step-by-step explanation:

The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.

Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).

x - 2y = 6

- 2y = 6 - x

y = (1/2) x -3

The slope is (1/2), so a perpendicular line will have a slope of -2.

y = -2x + b

We can find b by using the given point ((-3,-1), a known solution):

-1 = -2*(-3) + b

-1 = 6 + b

b = -7

The perpendicular equation is y = -2x - 7

y = -2x

2. Given f(x) = -2x2 - 5, find f(-4).

Answers

Given the function, f(x) = -2x^2 - 5: to evaluate f(-4), you must substitute the value of x = -4 as input into the function.

f(x) = -2x^2 - 5

f(-4) = -2(-4)^2 - 5

f(-4) = -2(16) - 5

f(-4) = -32 - 5

f(-4) = -37

Therefore, f(-4) = -37

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1

B. -1

C. 5

D. -5

I really need help

Answers

Answer:

C

Step-by-step explanation:

i did it already

2x+2y=10 in slope intercept form

Answers

the answer i got was y= -x+5

Helppppppppppppppppppppppppppppppppppppppppp pls

Answers

Answer:

Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.

Step-by-step explanation:

The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??

Show all steps
question is in the photo.

Answers

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

Solve this problem. PLEASE HELP!!

Answers

9514 1404 393

Answer:

  (b)  3 cups

Step-by-step explanation:

One recipe uses 6 oz of orange juice. Multiplying the quantity by 4 means ...

  4 · 6 oz = 24 oz

of orange juice is needed. There are 8 oz in 1 cup, so this amount is ...

  (24 oz)/(8 oz/cup) = 3 cups

To make quadruple the recipe, 3 cups of orange juice are needed.

This is due in 20 minutes, help, please.
Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?

Write a algebraic equation for the word problem above.

Question 1 options:

3 + 7 + g = 65


65 + g = 7


7g + 3 = 65


3g + 7 = 65 (What I chose)

Question 2

Write an algebraic equation for the word problem below.

How old am I if 226 reduced by three times my age is 133?

Question 2 options:

3a - 226 = 133


226 - 3a = 133 (My answer)


133 - 3a = 226


3a - 226 = 133

Question 3

rite an algebraic expression for the word problem below.

The sum of three consecutive numbers is 72. What are the three numbers?

Question 3 options:

3n = 72


1 + 2 + 3 = 72


a + b + c = 72


n + (n + 1) + (n + 2) = 72 (My answer)

Question 4

Write an equation for the word problem below.

It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?

Question 4 options:

2m + 5 = 25


5m - 2 = 25


25 + 2m = 5


5m + 2m = 25 (My answer)

Question 5 (Unsure if I'm correct)

rder the steps for writing an algebraic equation from real life word problems.

Question 5 options:

2
Identify all the important information

3
Define the variable

4
Write an equation using the important information and the variable

1
Read through the entire problem

Answers

Answer:

1) You were right

2) Also correct

3) Again, correct

4) Wrong, the correct answer is 2m + 5 = 25

5) Correct

Step-by-step explanation:

1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:

3g + 7 = 65

2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?

226 - 3a = 133

3) The sum of three consecutive numbers is 72.

n + ( n + 1 ) + ( n + 2 ) = 73

4) It cost 5 plus 2 per mile.The total spent was 25

2m + 5 = 25

5)

1. Read the entire problem.

2. Identify all the important info.

3. Define the variable

4. Write an equation using the important information and the variable

What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest

Answers

Answer:

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step-by-step explanation:

The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Here, it is given that line passes though point (-3,1) and having slope of 3.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 3(x-(-3))

y -1 = 3x + 9

y = 3x + 9 + 1

y = 3x + 10

Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

check and know more about line here :

brainly.com/question/14914699

#SPJ5

120% of what number is 102 and how do you write the question? (Include a variable)

Answers

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

That's how you write the equation.

80°
50°
Зc +2°
C=.

Can i get a step by step or a video on this?

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

In the given figure, let the third angle of the triangle be x

From Angle sum property of a triangle, we know that :

x + 80° + 50° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

so, the third angle will be 50°

and as we can observe here, the third angle of the triangle is equal to (3c + 2)° by vertical opposite angle pair.

so,

3c + 2° = 50°

3c = 50° - 2°

3c = 48°

c = 48° ÷ 3

c = 16°

hence, value of c = 16°

what the ratio to 7 to 1 written in 3 different ways

Answers

Answer: 7:1, 7/1, 7 to 1 (according to school learning)

Step-by-step explanation:

first 7:1 second 7/1 third 7 to 1

Solve for all values of x by factoring. x^2-25= x 2 â’25= 0

Answers

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

That is x = - 5, x = 5

what is the probability of selecting four red cards from a standard deck if each card is replaced before the next one is selected

Answers

Answer:

1/16

Step-by-step explanation:

1/2 * 1/2 * 1/2 * 1/2

=1/16

Solve for x... please help ASAP

Answers

Answer:

The answer would be -11

Step-by-step explanation:

The 2 angles in this problem are vertical angles. This means the angles and congruent(=). so 6x+185=8x+207 ----- 2x=-22---------- x=-11

Hope this helps!

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