MATHEMATICS HIGH SCHOOL

Which of the following is x⁴ + y⁴ identically equal to?(A) (x² + y²)(x + y)(x - y)
(B) (x² + xy + y²)(x² - xy + y²)
(C) (x² + √2xy + y²)(x² - √2xy + y²)
(D) (x² + √3xy + y²)(x² - √3xy + y²)
(E) (x + y)²(x-y)²
Can someone explain me how to make it step by step?

Answers

Answer 1
Answer: x^4+y^4 \n \nx^4= (x^2)^2, y^4 = (y^2)^2 \n \nx^4- y^4= (x^2)^2 - (y^2)^2 = (x^2 + y^2)(x^2 - y^2 )\n \nnow \ you \ can \ factor \ the \ second \ again \n \n(hopefully \ you \ see \ that \ it's \ a \ difference \ of \ squares): \n \nx^4 - y^4= (x^2 + y^2)(x + y)(x - y) \n \nAnswer : \ (A) \ (x^2 + y^2)(x + y)(x - y) \n \n \n a^2-b^2 =(a-b)(a+b)

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A rectangle has a length of 23 inches and a perimeter of 74 inches. what is the width of the rectangle?
Two lines, A and B, are represented by the equations given below:Line A: x + y = 2 Line B: 2x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There are two solutions. There is one solution. There is no solution.

A rectangular playground has an area of 3,392 square meters. if the width of the rectangle is 32 meters.find the lenth

Answers

The length of the rectangle is 106 meters.

Further explanation

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, because equiangular means that all of its angles are equal. A rectangle can also be defined as a parallelogram containing a right angle.

Whereas the square metre (or square meter) is the SI derived unit of area thar has a symbol sq.m

Length is describes how long something is, while width is describing how wide an object is. It also defined that length pertains to the longest side of the rectangle while width is the shorter side

A rectangular playground has an area of 3,392 square meters. If the width of the rectangle is 32 meters, find the length.

By dividing area of rectangular playground by the width of the rectangle we get:

Length * Width = Area\nLength = (Area)/(Width)

Length = (3,392 square meters)/(32 meters) = 106 meter

Hope it helps!

Learn more

  1. Learn more about the width brainly.com/question/9312670
  2. Learn more about  the rectangle brainly.com/question/628263
  3. Learn more about A rectangular playground brainly.com/question/11834640

Answer details

Grade: 5

Subject:  math

Chapter:  the length

Keywords:    the rectangle, A rectangular playground, the width, square meters, the length
The length of the rectangle would be 106. What you would do is divide the area into the width because to find the area of a rectangle you would do length times width.
Hope this helps! (:

The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table.x 30 37 40 45 52 55 61 65 71 76
y 6.25 6 6.5 7 6.5 7.25 7.5 8 8.65 8.5
Which linear equation best models the relationship between x and y?

Answers

Answer:

the answer is A

Step-by-step explanation:

took the test

Final answer:

The linear equation that best models the relationship between the number of minutes spent exercising and the number of hours slept is y = 0.04643x + 4.607.

Explanation:

The relationship between the number of minutes spent exercising, x, and the number of hours slept, y, can be modeled by a linear equation. To find the equation, we can use the formula for a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we need to calculate the difference in y-values divided by the difference in x-values for any two points on the line. Let's take the first and last points: (30, 6.25) and (76, 8.5).

Slope (m) = (8.5 - 6.25) / (76 - 30) = 0.04643

Next, to find the y-intercept, we can substitute one point and the slope into the equation and solve for b. Let's use point (30, 6.25):

6.25 = 0.04643 * 30 + b

b = 4.607

Therefore, the linear equation that best models the relationship between x and y is y = 0.04643x + 4.607.

Learn more about Linear equation here:

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In a circle centered at point O, the ratio of the area of sector AOB to the area of the circle is . What is the approximate measure, in radians, of the central angle corresponding to ? Round the answer to two decimal places

Answers

I believe that the answer is,
3/5 = θ/2π
5θ = 6π
θ = (6/5) π
   = (6/5) * 3.14159
   = 18.85/5
   = 3.77
I hope this helps you *-*

Answer:

D. 3.77

Step-by-step explanation:

This is for plato users

Hope it helps :)

How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1.

Answers

5x + 2x = 7x
 is it in a single term

Final answer:

The expression 5x + 2x simplifies into 7x. Substituting the values 1, 2, 3, 4, and 5 for x in both expressions yields the results 7, 14, 21, 28, and 35 for 5x + 2x, and 6, 13, 20, 27, and 34 for 7x - 1.

Explanation:

The expression 5x + 2x can be simplified into a single term by adding the coefficients of similar terms. This means you add the 5 and 2 together. The result is 7x.

For substituting different values into the expressions 5x + 2x and 7x - 1, let's use 1, 2, 3, 4, and 5 as the values for x.

  1. For x=1: 5(1) + 2(1) = 7 and 7(1)-1 = 6
  2. For x=2: 5(2) + 2(2) = 14 and 7(2)-1 = 13
  3. For x=3: 5(3) + 2(3) = 21 and 7(3)-1 = 20
  4. For x=4: 5(4) + 2(4) = 28 and 7(4)-1 = 27
  5. For x=5: 5(5) + 2(5) = 35 and 7(5)-1 = 34

Learn more about Algebra here:

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A coat that originally sold for $369.00 is on sale at a 40% discount? How much will you pay for the coat?

Answers

The coat will cost $221.40. If you move a decimal two spaces to the left from 40% (.40) and multiply it by $369.00, you'll get $147.60. You then subtract $147.60 from $369.00 and get $221.40, the final price of the coat.
The best way to work out something like this is to find out what ten percent is. The way in which you do this is to divide the price by 10. This gives you $36.90. Therefore, this is equal to ten percent. As you're looking for forty percent, you need ot mulitply the answer by four, and this gives you $147.60. You then have to subtract $147.60 from $369
$369-147.60= $221.40
I deleted my answer and put the correct one- sorry about that, my calculator seems to have a mind of its own :)

N equation is shown below:3(4x − 2) = 1

Which of the following correctly shows the first two steps to solve this equation?

Step 1: 12x − 2 = 1; Step 2: 12x = 3

Step 1: 12x − 6 = 1; Step 2: 12x = 7

Step 1: 7x + 1 = 1; Step 2: 7x = 0

Step 1: 7x − 5 = 1; Step 2: 7x = 6
SUPER DUPER thanks ahead of the answer
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Answers

12x -6 = 1 then 12x =7
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