Factorize the following perfectly:
1) 9x^4-16y^439
2) 64x^4+y^4

The image of the point after the reflection across the x-axis is (8,5)

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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half the diagonal is shown as 20cm.

The full diagonal would be 20 x 2 = 40 cm.

area of a square using the diagonal is 1/2 x diagonal^2

Area = 1/2 x 40^2 = 800 square cm

answer: 800 square cm.

The functions and their descriptions are:

The functions are given as:

[tex]y = \frac{5x^3}{8}[/tex]

[tex]y = 6 + 0.25\ln(x)[/tex]

[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]

[tex]y = 5x^3 + 8[/tex]

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

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Answer:

Select the correct word to describe the function.The equation  represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation  represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.

Step-by-step explanation:

you are so welcome

Answer: 8.8

Step-by-step explanation:

Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.

So, by the triangle proportionality theorem,

[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]

Answer / Step-by-step explanation:

(300.500+40.60+8.2)=348.562

Answer:

[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]

Answer:

3x-3

Step-by-step explanation:

use synthetic division

Answer:

4

Step-by-step explanation:

A fundamental theorem of algebra,  the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.

Answer:

Step-by-step explanation:

Equation of area:

Substitute values and calculate:

The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :

[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]

Further solving it we get;

7 t + 4 t = 28

11t  =  28

t = 2.5 hours.

Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

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Answer:

119 4/7

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:

35+10+12+15+24+12+10=118

Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)

6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14

Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.

This means that our answer is 119 8/14 or 119 4/7

Answer:

10

Step-by-step explanation:

x/20= 5/x

x²= 100

x=√100

X=±10

x=10

Answer:

x = 10

Step-by-step explanation:

expressing the ratios in fractional form

[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )

x² = 100 ( take square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

the positive solution is x = 10

Answer:

the area is 168

Step-by-step explanation:

the formula for trapezoids is a+b/2 multiplied by the height

The distance the airplane can travel before it runs out of diesel is 15.67.

The first step is to convert gallon to kilogram

1 gallon = 3.79 kg

62 x 3.79 = 234.98 kg

Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram

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The value of x when f(x) = -4 is 3

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

x = 3

Hence, the value of x when f(x) = -4 is 3

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Answer:

x = 3

Step-by-step explanation:

Hello!

Think of this as a linear equation: y = -3x + 4.

If f(x) = -4, it means that y = -4.

Plug in the value for y and solve for x.

The value of x is 3.

Answer:

The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.

Step-by-step explanation:

Answer:-8.3

Step-by-step explanation:-8.3

Answer:

-8.3333333333

Step-by-step explanation:

First you want to start by multiplying (-2) * 3.

Next you want to multiply 1/2 * 1/3

Finally you add you answers together to get what you need.

Also this was very very very easy so go to summer school if you are this dum.

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

The  annual income tax paid by the person is: $4,500.

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

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All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.

Now, For all the statements al the correct postulate are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

Thus, All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

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Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

Answer:

55 percent

Step-by-step explanation:

simply add all the teams you get a 1.00 turned to percent its a 100 percent probability

then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent

them subtract 100-45 you get 55 percent that a team not from River City will win

Answer:

20 for $8

Step-by-step explanation:

Answer:

  11.6 ft²

Step-by-step explanation:

We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.

__

The ratio of areas will be ...

  smaller area / larger area = (scale factor)²

  smaller area = (larger area)×(scale factor)² . . . multiply by the denominator

  smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values

The surface area of the smaller prism is about 11.6 square feet.

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

answer : 70.6

steps :

I attached a picture

you see 9.6?

it's also 9.6 on the side that is 17.2

if you look at the picture I attached you'll know what I mean

on the side that is 15.7 it's

15.7 - 9.6 =

6.1 on the other part of the side that is 15.7

that means it's

6.1 on a part of the side that doesn't have a measurement

on the side that 17.2 it's

17.2 - 9.6 =

7.6 on the other side

that means it's also

7.6 on the side that's 19.6

19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also

12.0 partly on the uncensored side

on the side that doesn't have a measurement it's

12.0 + 6.1 = 18.1

so

all sides are :

19.6+17.2+15.7+18.1=

70.6 <- which is the answer

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Answer:

i don't know

Step-by-step explanation:

i don't know

Step-by-step explanation:

6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r

6y + 6x + 10 + 2y + 3 = 9r² + 11r

8y + 6x + 13 = 9r² + 11r

Answer:

26 degrees.

Step-by-step explanation:

The angles of triangles will always add up to 180 degrees.

The first angle is 50 degrees.

The second angle, is shown with a 76 degree angle next to it.

Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.

104 + 50 = 154 degrees.

The remaining 26 degrees is the answer to the value of y.