Examine this set of Pythagorean triples. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings.

I have attached an image of the triples. If anyone could help me with this, I'd greatly appreciate it. Please respond correctly. Tysm.

This question i know. It is C

For this one, the best way to answer is to use the question and it will guide us to the answer.

First, you can eliminate two choices:

the problem states that a number minus ten and nine

so you can eliminate B and D because it is 10 minus a number.  In math, you can be picky and take the question exactly.

Then, look at the last part, "when decreased by seven."  So now look between A and C and see which one is decreasing by 7.  Based on that C would be your answer

C) 9(x-10) -7 = 50

Hope this helps!

The answer is 256.25

EXPLANATION

Let [tex]x[/tex] represent the number.

Then, [tex]\frac{16}{100}x=41[/tex]

We cross multiply yo obtain,

[tex]16x=41\times 100[/tex]

We now divide both sides by 16.

[tex]x=\frac{4100}{16}[/tex]

This will give us,

[tex]x=256.25[/tex]

Therefore the number is 256.26

Answer:

The correct option is:  B. 9

Step-by-step explanation:

The number of tennis balls, [tex]P(n)[/tex] , in [tex]n[/tex] layers of the square pyramid is given by:   [tex]P(n)=P(n-1)+n^2[/tex]

As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So,  [tex]P(1)= 1[/tex]

Now, if [tex]n=2,[/tex] then [tex]P(2)= P(2-1)+(2)^2 = P(1)+4=1+4=5[/tex]

If  [tex]n=3,[/tex] then [tex]P(3)=P(3-1)+(3)^2=P(2)+9=5+9=14[/tex]

If  [tex]n=4,[/tex] then [tex]P(4)=P(4-1)+(4)^2 = P(3)+16=14+16=30[/tex]

That means, the number of tennis balls from the top layer will be:  1, 5, 14, 30, .......

So, the number of tennis balls that Coach Kunal could not have is 9.

the correct answer is b.9

Answer: Choice A)

x^2 + (x+2)^2 = (x+4)^2

========================================

Consecutive even integers are whole numbers that are as close as possible and they are also even as well. One example of having 3 of them is {2, 4, 6}. Another example is {4,6,8} and another example is {6,8,10}. You start with any even integer you want, then count up by 2 each time to get the next values.

In general, if x is your first even number, then x+2 is the next number up. Eg: x = 10 so x+2 = 10+2 = 12. Then after that, x+4 is the third number (if x = 10, x+4 = 10+4 = 14)

a = x is the side length of the shorter leg

b = x+2 is the side length of the longer leg

c = x+4 is the side length of the hypotenuse

Use the pythagorean theorem to get

a^2 + b^2 = c^2

x^2 + (x+2)^2 = (x+4)^2

Answer : (0,3) U  (3, ∞)

We need to find  the interval(s) over which the function is decreasing

We look at the intervals of x  where the graph is decreasing

Decreasing interval of the graph is the part where the graph goes down

We look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph changes direction and start decreasing at x=0

the graph is decreasing till x=3

so first decreasing interval is x=0  to 3. we write it as (0,3)

After x=3 the graph starts decreasing and it goes to infinity

So the second decreasing interval is 3  to infinity . We write it as (3, ∞)

Now combine both intervals by a 'U' union

(0,3) U  (3, ∞)

Graph Behavior u3l10

1. (-∞,-1) U (-1,0)
2. (0,3) U (3,∞)
3. x-intercept: none | y-intercept: (0,-4)
4. x=-1, x=3, y=0
5. even
6. (-∞,-4)
7. x-intercepts: (0,0),(3,0) | y-intercepts: (0,0)
8. f(3)=6
9. There is a jump discontinuity at x=-3
10. neither
11. f(x)=x/x^8+8x^4-7 | f(x)=x^3+4x
12. f(x) --> -∞ as x --> ∞ and f(x) --> 0 as x --> -∞
13. 2nd and 3rd graph (2nd graph has left arm facing down and right arm facing up and 3rd graph looks like a W)
14. 1st and 4th graph (1st graph has 2 lines, the one on the left side is point upwards and the line on the right side is pointing downwards, 4th graph is 1 line with the left arm facing up and right arm facing down)
15. reciprocal; y=1/x
16. f(x)=x^3
17. power; y=x^n | root; y=n√x
18. power; y=x^n ; n is even and greater than 0 | absolute value; y=|x|
19. reflection over the x-axis | horizonal compression by a factor of 3
20. reflection over the y-axis | horizontal shift to the left 2 units
21. reflection
22. 1st graph (starts from the left side (-2,0) and points towards the right side a bit more downwards)
23. 1st graph (ill describe it as a right angle with the curve facing left on the negatives side or a point where the curve is on is (-2,0))

happy "studying"!

Answer:

 Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.

Explanation:

 Marks received by Marta in four tests =  86, 84, 97 and 89

 Let mark received in fifth test be x

 We have average of five test is more than or equal to 90

 So we have

    [tex]\frac{86+84+97+89+x}{5} \geq 90\\ \\ 86+84+97+89+x\geq 450\\ \\ x\geq 94[/tex]

 So Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.

The lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher is 94.

Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. To find the lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher, we can use the formula:

Average = (Sum of all grades) / Total number of grades

Let x be the lowest grade she can receive on her fifth test. We can set up the equation:

(86 + 84 + 97 + 89 + x) / 5 = 90

Now we can solve for x:

86 + 84 + 97 + 89 + x = 90 * 5

356 + x = 450

x = 450 - 356

x = 94

Therefore, the lowest grade Marta can receive on her fifth and final test and still have a test average of 90 or higher is 94.

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 -6x - 2y = -18

-6x - 2(0) = -18

   -6x - 0 = -18

        -6x = -18

         -6      -6

           x = 3

hope this helps :)

Answer: 3

Step-by-step explanation:

To round 74.58 to the nearest tenth, look at the digit in the hundredth place (8) and round up the digit in the tenths place (5) by adding 1 to get 74.6.

To round 74.58 to the nearest tenth,

We have to look at the digit in the hundredth place, which is 8.

The rule for rounding to the nearest tenth is to look at the digit in the hundredth place.

If it is 5 or greater, you round up the digit in the tenths place by adding 1. If it is less than 5,

Simply drop the digit in the hundredths place and leave the digit in the tenths place as it is.

In this case,

The digit in the hundredths place is 8, which is greater than 5.

Therefore, we must round up the digit in the tenths place, which is 5, by adding 1 to get 6.

Thus, 74.58 rounded to the nearest tenth is 74.6.

Learn more about the mathematical expression visit:

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The formula for area of a square is A=s^2

Taking the square root of each side

sqrt(A) =s

sqrt(36)=s

6yds =s

The length of each side of the square is 6 yards.

we are given

[tex](-3+5i)^2[/tex]

we can expand it

[tex](-3+5i)^2=(-3+5i)(-3+5i)[/tex]

now, we can FOIL it

[tex](-3+5i)^2=-3\times -3-3\times 5i+5i\times -3+5i\times 5i[/tex]

now, we can simplify it

[tex](-3+5i)^2=9-15i-15i+25i^2[/tex]

we know that

[tex]i^2=-1[/tex]

so, we can plug it

[tex](-3+5i)^2=9-30i+25(-1)[/tex]

[tex](-3+5i)^2=9-30i-25[/tex]

[tex](-3+5i)^2=-16-30i[/tex]..............Answer

The first thing we must do for this case is to define variables: x: number of tickets sold before the tournament. y: number of tickets sold at the door. The system of equations that adapts to this situation is given by: x + y = 820 x-y = 80 Answer: The correct options are: option 2 option 3 option 5

Answer:

The correct options are:

option 2

option 3

option 5

Step-by-step explanation:

5 x 10^2

= 5 x 100

= 500

Alright, so to solve this we have to use P.E.M.D.A.S. There are no parenthesis, so we move on to exponents. 10^2. Well, we know that 10 multiplied by 10 is 100. So the new equation is 5 multiplied by 100. The answer is 500.

Answer:

[tex]80\leq x\leq 70[/tex]

Step-by-step explanation:

Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average, 75%, on the test.

Means the greater marks can be up to 80 and lowest marks can be up to 70.

So, the inequality that represents the test scores of 60% of his students is :

[tex]80\leq x\leq 70[/tex]

Answer:

4.44 is your answer

Step-by-step explanation:

Isolate the x. Multiply -4 to both sides

(x/-4)(-4) = (-1.11)(-4)

x = (-1.11)(-4)

Multiply

x = 4.44

4.44 is your answer

~

Answer:

The value of x is 4.44.

Step-by-step explanation:

Given : Expression [tex]\frac{x}{-4}=-1.11[/tex]

To find : What is the value of x?

Solution :

Expression [tex]\frac{x}{-4}=-1.11[/tex]

Multiply both side by 4,

[tex]\frac{x}{-4}\times 4=-1.11\times 4[/tex]

[tex]-x=-4.44[/tex]

Cancel negative sign both side,

[tex]x=4.44[/tex]

Therefore, The value of x is 4.44.

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

[tex]500*\frac{40}{100} =5*40=200[/tex]

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

[tex]500*\frac{25}{100} =5*25=125[/tex]

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

[tex]500-(200+125)[/tex]

[tex]500-325=175[/tex]

Therefore, 175 visitors went to screen 3.

-24n2+31 if im correct!

Answer:

[tex]-24n^2 + 31[/tex]

Step-by-step explanation:

[tex]7 - 3[(n^3 + 8n) divide (-n) + 9n^2][/tex]

To simplify it we use order of operation PEMDAS

Parenthesis , exponents , multiply, divide, add and subtract

[tex]7 - 3[(n^3+ 8n) divide (-n) + 9n^2][/tex]

LEts start with parenthesis (divide by -n)

[tex]7 - 3[-n^2-8+ 9n^2][/tex]

Now we simplify the parenthesis by combining like terms

[tex]7 - 3[-8+8n^2][/tex]

multiply by -3

[tex]7+24 -24n^2[/tex]

[tex]-24n^2 + 31[/tex]

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

Hello,

The answer is A or y= 3/2x+9

How to solve;

The formula: Y=mx+b

Now solve the problem: 3x-2y=-18

Subtract -3x from both sides.

Now we have -2y=-3x-18

So divide both sides by y to get y by it self.

-2/-2=-3x-18/-2

Simplify and the answer is y=3/2x+9

Thus answer A

Hope that helps have a great day.

For this case we have the following:

So:

[tex]x ^ 2 + x^{\frac{1}{2} }+ x + 6[/tex] is not a polynomial

Answer:

Option B

The expression which is not a polynomial is:

            B)   [tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]

We know that the general form of a polynomial expression is given by:

[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......+a_2x^2+a_1x+a_0[/tex]

i.e. P(x) is a polynomial of degree n  , where n belongs to natural numbers and [tex]a_i's[/tex] belong to the real numbers.

and [tex]a_n\neq 0[/tex]

A)

[tex]\dfrac{3}{x^{-1}}+\dfrac{3}{2}[/tex]

which could also be written by:

[tex]3x+\dfrac{3}{2}[/tex]

Hence, this expression is a polynomial expression.

Option: a is incorrect.

B)

[tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]

Since in the second term the power of x does not belong to the set of natural numbers.

Hence, option: b is not a polynomial expression.

Hence, the correct answer is option: b

C)

[tex]x^3-9[/tex]

Since, the expression matches the definition of the polynomial expression.

Hence, option: c is incorrect.

D)

[tex]\sqrt{16x^4}[/tex]

This could also be written as:

[tex]=4x^2[/tex]

Hence, it is a polynomial expression.

Hence, option: d is incorrect.

Answer:

  Hank's pickup need 3 gallons of gas to travel 54 miles.

Explanation:

   Hank's pickup can travel 72 miles on 4 gallons of gas

   Miles travel by  Hank's pickup with 1 gallon of gas = 72/4 = 18 miles.

  We need to find gallons of gas required for Hank's pickup to travel 54 miles.

  Gallons of gas required =  Miles need to travel/ Miles travel with 1 gallon of gas

                                        = 54/18 = 3 gallons of gas.

 So Hank's pickup need 3 gallons of gas to travel 54 miles.

Answer:

P = 15/20 = 3/4

Step-by-step explanation:

20 minutes - 5 minutes = 15 minutes.

The probability of waiting at least 5 minutes = 15/20 = 3/4 = 75%