H.F.C of x^4 +(2b^2 -a^2 )x^2+b^4 and x^4 +2ax^3 +a^2x^2 -b^4​

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

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

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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The option that shows the relationship between the squares that he shaded yellow and green would be = 0.4 which is less than 0.6. That is 0.4< 0.6 option A.

The figure that Raul has is made up of = 100 congruent squares.

This means the all the squares in the figure are the same in size.

The fraction of the figure that is painted yellow = 40/100 = 0.4.

The fraction of the square that is painted green = 60/100 = 0.6.

From the image attached, the relationship between the portion shaded yellow and the portion shaded green is that 0.4 is less than 0.6.

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Answer:

radius: 12

Given the following:

Volume of sphere: 7,240

Formula of volume of sphere:

Volume = 4/3 π (radius)³

Find radius:

change sides

simplify

cube root on both sides

simplify

Answer:

83

Step-by-step explanation:

The nth term is   an=3n−7 .

30*3=90

90-7=83

so the 30th term would be 83

Answer:

Step-by-step explanation:

Let x = number of people that were supposed to go to the trip, where x is greater than or equal to 0.

Let y = price per person initially with x people going on the trip.

xy = 4600

Solve for y.

y = 4600/x

(x - 10)(y + 230) = 4600

Replace y with the fraction 4600/x.

(x - 10)[(4600/x) + 230)] = 4600

What you need to do:

1. Solve (x - 10)[(4600/x) + 230)] = 4600 for x.

2. When you find x, subtract 10 from the value of x to find the number of people that went on the expedition.

You finish.

y = 5x + 3

-1 = 5(2) + 3

-1 = 13 (wrong)

y = -2x - 4

-1 = -2(2) - 4

-1 = -8 (wrong)

Each quadratile behind the omitted measure contains

\(9).\ \ SU=TV=\sqrt{15^{2} } +15^{2} =21.21\\\\SW=\frac{21.21}{2} =10.61\\\\10).\ \ PN=\frac{46}{2} =23\)

There are 4 sides, 4 vertices, and 4 angles in a closed quadrilateral. It has a polygonal shape. By connecting four non-collinear locations, it is created. A quadrilateral's total internal angle remains at 360 degrees.

A quadrilateral is a shape that is a flat geometry that has four vertices, or corners and edges. Each of the quadrilateral's four vertices, or corners, has an angle. ∠A, ∠B, ∠C, and ∠D are the angles at the points on either side of a quadrilateral ABCD.

The opposite vertices of the parallelogram are joined to create the diagonals. The figures below represent the diagonals in the quadrilateral

ABCD as AC and BD.

9) VU = 15

SU = 21.21

TV = 21.21

SW = 10.61

10) OM = 46

PN = 23

ON = 46

MN = 46

Detailed explanation:

9) SU = TV = √15²+15² = 21.21

SW = 21.21/2 = 10.61

10) PN = 46/2 = 23.

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Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

-8

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

-4-4/2-1

-8/1

-8

Best of Luck!

First of all, Let's find the slope because we need it on the formula for finding the y-intercept.

m = y2 - y1 / x2 - x1

From the points given in the question,

x1 = 1

x2 = 2

y1 = 4

y2 = -4

Plugging in the above formula,

➝ m = -4 - 4 / 2 - 1

➝ m = -8 / 1

➝ m = -8

Now finding the y-intercept\(:\)

➝ y = mx + b

And if we put in the values from our first point (1, 4) we get

➝ 1 = -8 (4) + b

➝ 1 = -32 + b

➝ b = 1 + 32

➝ b = 33

Required equation of the line:

➝ y = -8x + 33

Carry On Learning !

The rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute.

To find the rate of change of the area of a circle with respect to its radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.

We are given that the radius is increasing at a rate of 8 centimeters per minute, so we can express this as dr/dt = 8 cm/min.

To find the rate of change of the area when the radius is 2 centimeters, we need to differentiate the area formula with respect to the radius:

dA/dt = d/dt (πr²)

Using the chain rule, we have:

dA/dt = dA/dr * dr/dt

Since we want to find the rate of change of the area when the radius is 2 centimeters, we substitute r = 2 into the derivative:

dA/dt = dA/dr * dr/dt = (π(2)²) * 8 = 4π * 8 = 32π

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The value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Let's call the unknown number "x". The statement "When 12 is multiplied by a number, the result is 72" can be represented mathematically as:

12 * x = 72

This equation states that when we multiply 12 by the unknown number "x", we obtain a product of 72. To find the value of "x", we need to solve this equation.

To solve for "x", we can divide both sides of the equation by 12:

(12 * x) / 12 = 72 / 12

Simplifying, we have:

x = 6

Therefore, the equation that fits the given statement is:

12 * x = 72

Where "x" is equal to 6.

In this equation, the value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

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The determinant of the given matrix is 1. The correct option is G. 1

The determinant of a 2x2 matrix is found by multiplying the values on the main diagonal (top left to bottom right) and subtracting the product of the values on the other diagonal (top right to bottom left).

In this case, the given matrix is \(\left[\begin{array}{ccc}-5&4\\-9&7\end{array}\right]\)
The determinant is calculated as (-5 * 7) - (4 * -9).
Simplifying, we get (-35) - (-36), which is equal to -35 + 36 = 1.

Therefore, the determinant of the given matrix is 1.

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Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

f(x) = 3x + k

f(4) = 10

f(4) = 3×4+k

10 = 12 + k

10-12 = k

k = -2

Answer: See attached picture

Step-by-step explanation:

Answer:

6x+5

Step-by-step explanation:

2x-5+x-5=3x-10+2x+15=5x+5+x=6x+5

Answer:

8x + 10 is the expression for our perimeter

Step-by-step explanation:

2x -5 - x - 5 = x - 10. So the length of the right side is x - 10.

2x + 15 - x = x + 15, so the length of the other missing side is x + 15.

Now we combine like terms and simplify to get the perimeter

(2x -5) + (x) + (x-5) + (x+15) + (x-10) + (2x + 15)

Simplified we get 8x + 10 as the expression for our perimeter

Answer:

0.04%

Step-by-step explanation:

Se pueden formar 5 x 5 x 5 = 125 palabras de 3 letras usando las 5 primeras letras del alfabeto (A, B, C, D, E).

Cada letra de la primera posición puede ser una de las 5 letras del alfabeto, lo mismo ocurre con la segunda letra. Así, cada una de estas dos letras tiene 5 opciones posibles.

Finalmente, la tercera letra también puede ser cualquiera de las 5 letras del alfabeto, por lo que cada una de estas tres letras tiene 5 opciones posibles.

Entonces, el número total de palabras que se pueden formar con estas 5 letras es 5 x 5 x 5 = 125.

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Answer:

I zont know i need points

Step-by-step explanation:

Yea im srry

The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

According to the statement

we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.

And we have to find that the yield to maturity on this bond.

So, For this purpose,

The amount given is $911. 10.

Years to maturity = n = 10

Coupon rate = C = 8.25%

Semiannual coupon = $1,000 × (0.0825/2) = $41.25

Yield to maturity = i

Present value of bond = PB = $911.10

Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.

Try YTM = 9.4%:

= $522.90 + 391.54 ≅ $914.43

The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).

So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

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A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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Answer:

So sorry but I have no idea, also have a great weekend!

Answer:

60

Step-by-step explanation:

b = the hypotenuse of a right angle triangle

a = the adjacent side.

R is being defined by the cosine

cos(R) = adjacent /  hypotenuse

adjacent = 16* sqrt(2)

hypotenuse = 32*sqrt(2)

Cos(R) = 16*sqrt(2) / 32*sqrt(2)      sqrt(2) cancels.

cos(R) = 1/2

R = cos-1(1/2)

R = 60 degrees.

Answer:

Step-by-step explanation:

\(f - \frac{7}{g}=h\\\\f =h + \frac{7}{g}\)