Mathematics High School

How would the expression (x^2 + 1)(y^2 + 4) be rewritten using Two Squares?
O A. (xy– 2)^2 - (4x+y)^2
B. ( xy- 2)^2 +(2x+y)^2
C. (xy+2)^2 +(x+2y)^2
D. (xy-2)^2+(x+2y)^2

How Would The Expression (x^2 + 1)(y^2 + 4) Be Rewritten Using Two Squares?O A. (xy 2)^2 - (4x+y)^2B.

Answers

Answer 1
D (xy-2)^2+(x+2y)^2 thats the answer bro
Answer 2

The expression [tex](x^2 + 1)(y^2 + 4)[/tex] can be rewritten using Two Squares as [tex](xy-2)^2+(x+2y)^2[/tex]. The correct option is D.

What is Two Squares?

The Two Squares identity is a special case of the identity: [tex](a^2 + b^2) = (a + b)^2 - 2ab[/tex].

This identity can be used to factorize certain expressions involving squares of variables.

By using the Two Squares identity, we can rewrite expressions in the form of a sum of two squares as a difference of squares, or vice versa. This can be useful in simplifying and solving equations in algebra.

We can use the Two Squares identity, which states that:

[tex](a^2 + b^2)(c^2 + d^2) = (ac - bd)^2 + (ad + bc)^2[/tex]

Comparing with the given expression, we can see that a = x, b = 1, c = y, and d = 2. Substituting these values into the Two Squares identity, we get:

[tex](x^2 + 1)(y^2 + 4) = (xy - 2)^2 + (x + 2y)^2[/tex]

Therefore, the answer is (D) [tex](xy-2)^2 + (x+2y)^2.[/tex]

For more details regarding two square identity, visit:

https://brainly.com/question/29634512

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Related Questions

The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.

Answers

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

4.) 5(3y – z) - x =
If y=8, z=6, and x=2

Pls help lol

Answers

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

88

Step-by-step explanation:

Given expression:

5(3y - z) - x

Evaluating the value of this expression if y = 8, z = 6, x = 2:

5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88

to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40cm

Answers

Answer:

9

Step-by-step explanation:

show your work and answer

Solve Y^2 +9y+2=8y+58

Answers

Answer:

y²+y-56=0

56=8×7

8-7=1

(y+8)×(y-7)=0

y=7

or

y=-8

so its 7,-8

Answer:

y = -8, 7.

Step-by-step explanation:

y^2 +9y+2=8y+58

y^2 + 9y + 2 - 8y - 58 = 0

y^2 + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7.

please help asap show work and dont put links

Answers

Answer:

add two tiles per figure until u get to eight.

Step-by-step explanation:

Which statement is true about the given information?

A line has points B, C, D, and E. All points are equal distances from each other.

BD = One-halfBC
BC = One-halfBE
BD ≅ CE
BC ≅ BD
Mark this and return

Answers

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE  ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

 the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

  third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

 BD = BC + CD

 CE = CD + DE

 BC ≅ DE and CD is common

 then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

Please help me solve

Answers

Step-by-step explanation:

Area of triangle=1/2 × base × altitude

base=7/2 ft

altitude=8/5ft

Subtitute values in formula:

Area=1/2*7/2*8/5 square.ft

Area=56/20 square.ft

Note:if you need to ask any question please let me know.

The coordinates of point T are (0,5). The midpoint of ST is (4, -5). Find the coordinate of point S

Answers

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]

... (hard to explain for the y-coordinate of point (S))

Point S = [tex](8,-15)[/tex]

Please help with geometry

Answers

Answer:

x

Step-by-step explanation:

Answer:
-37
Explanation:

Reduce to a simplest form.

1. 6/20

2. 28/16​

Answers

Answer:

D

Step-by-step explanation:

1.) 3/10 [i just divided it by two]
2.) 7/4 or 1 3/4 i reduced the fraction by dividing it by 2 then 2 again and for the other one i divided 16 into 28 and made it into a mixed number then reduced

Evaluate -y+(-z)+7.99 where y = 1.46 and z = 3.82

please help ;-;

Answers

Answer: 2.71

Explanation: You would simplify the expression.

A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool

Answers

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Given the parent function f(x)=x2, what is the new equation if the function is translated 4 units to the right and 3 units down​

Answers

Answer:

f(x-4)-3

Step-by-step explanation:

- inside brackets moves right, + moves left

+ outside brackets moves up, - moves down

If f(x) and g(x) are equivalent, what must a be?
[f(x) and g(x) in the picture]​

Answers

[tex] \frac{1}{ \frac{1}{3}x - 2 } + 5 = \frac{a}{x - 6} + 5 \\ \\ \frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } + 5 - 5 \\ \\\frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } \\ \\ a \: (\frac{1}{3}x - 2) = x - 6 \\ \\ a = \frac{x - 6}{\frac{1}{3}x - 2} \\ \\ a = \frac{x - 6}{ \frac{x - 6}{3} } \\ \\ a = (x - 6) \div \frac{x - 6}{3} \\ \\ a = (x - 6) \times ( \frac{3}{x - 6} ) \\ \\ a = 3[/tex]

I hope I helped you^_^

5( x-2)+3x-4 = -38 solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

5(x-2)+3x-4 = -38

=> 5x-10+3x-4 = -38

=> 5x+3x-10-4 = -38

=> 8x-14 = -38

=> 8x = -38+14

=> 8x = -24

=> x = -24/8

=> x = -3

x=-3 i did all of the work but if you have any more questions feel free to let me know !

I need help solving this systems of equations problemn

Answers

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

3x - 8 = -2 find the value of x-6

Answers

Answer:

The answer is = -4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6 ÷3

x = 2

for x - 6

2 - 6 = -4

Help me with this math question, please!
Question: I want 7 halves of a cupcake for myself, 8 halves for my friend, and 5 for my other friend, how many cupcakes do we all want?

Answers

10. First add all together then divide by 2

Answer:

its 10 trust me

Step-by-step explanation:

(x^4)^2
how do I simplify this expression?

Answers

Answer:

x^8

Step-by-step explanation:

(x^4)^2

~Apply power rule [ (a^b)^c = a^bc ]

x^4(2)

~Simplify

x^8

Best of Luck!

Step-by-step explanation:

[tex] { {x}^{4} }^{2} \\ {x}^{4 \times 2} \\ {x}^{8} \\ thank \: you[/tex]

On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas

Answers

If on Monday it is $3.50 and the price dropped down on Tuesday by $.50 It would be $3.00 if on Wednesday it increases by $.65 it would be $3.65

Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?

Answers

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

The number is 6 and you’re very welcome!!

I need help from big brain

Answers

4 times because they have the same denominator and 8 divided by 2 is 4

Answer:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.

I hope this helps :). If you have any questions let me know. Have a good day.

expanded in 5th grade

Answers

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

50 POINTS!!!!!!1


Solve 6 over x minus 6 equals the quantity of x over x minus 6, minus six halves. for x and determine if the solution is extraneous or not.


A.x = −6, extraneous

B.x = −6, non-extraneous

C.x = 6, non-extraneous

D,x = 6, extraneous

Answers

Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

the product of two numbers is 21. If the first number is negaitve 3, which eaqution represents this situation and what is the second number

Answers

Answer:

-7 is the second number

Step-by-step explanation:

-3 * (-7) = 21

the two triangles are similar what is the length of the missing side show your work​

Answers

Answer:

Step-by-step explanation:

ASAP PLS
The soda shop has 11 flavors of soda, 2 kinds of fruit syrup, and 6 sweeteners. How many different sodas can be made with one flavor of soda, one fruit syrup, and one sweetener?​

Answers

man in gonna tell you something but it might be wrong. about 1 or 2 i think?? i'm not good at this

Write an equation of the line that passes through the point (-1, 4) with slope 2.

Answers

Answer: y - 4 = 2 (x + 1)

Step-by-step explanation:

There are in four general forms of equations:

Slope-intercept form: y = mx + bPoint-slope form: y - y₁ = m (x - x₁)Standard form: Ax + By = CIntercept form: x/a + y/b = 1

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

Are these two expressions equivalent?
5(3+2) and 5.3 + 5.2

Answers

Answer:

No

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

Someone help I for got how to do this been long

Answers

One way to think of it is to think of it as a large rectangle, 21 ft by 15, and subtracting the area of a smaller missing rectangle that is, 12 ft by 9 feet. Doing the math for those is 315ft^2 for the larger one and 108ft^2 for the smaller. Simple subtraction of those leaves you with 207ft^2
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