X^4+9 which pattern can we use to factor the expression?

Answers

Answer 1

Answer:

[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]

Step-by-step explanation:

[tex]x^4+9[/tex]

[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].

Apply the formula for the difference of two squares.

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

[tex]-9=3i^2[/tex]

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

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

Answer 2

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)


Related Questions

Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.

Answers

Answer:

[tex] 4y^3 [/tex]

Step-by-step explanation:

[tex] \dfrac{4}{y^{-3}} = [/tex]

[tex] = 4 \times y^3 [/tex]

[tex] = 4y^3 [/tex]

Answer:

4y^3

Step-by-step explanation:

BRAINLIEST! HELP ASAP MATH PLSSS

Answers

Answer: The answer would be the second one.

Step-by-step explanation:

It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.

Evaluate the expression. 42−3⋅4+7 Enter your answer in the box.

Answers

Answer:

23

Step-by-step explanation:

Here we will use BODMAS

42 - 3⋅4 + 7

42 - 12 + 7

42 - 19 = 23

Answer:

Answer is 11

Step-by-step explanation:

I took the quiz

PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution

Answers

Answer:

No solutions.

Step-by-step explanation:

x minus 3y = 4

x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3

-2x + 6y = 3

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Hope this helps!

The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given system of equation;

x minus 3y = 4 means x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3 means -2x + 6y = 3

Solving;

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Please help ASAP. Plz answer top question thanks so much. Your help is much appreciated.

Answers

Answer:

It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer

Hope it helps :D

Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 ​finalists, what is the probability of selecting ​(A) 3 females and 2​ males? ​(B) 4 females and 1​ male? ​(C) 5​ females? ​(D) At least 4​ females?

Answers

Answer:

The answer is below

Step-by-step explanation:

The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.

Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:

[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]

A)  3 females and 2​ males

The possible ways of choosing 3 females and 2​ males is given as:

[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]

probability of selecting 3 females and 2​ males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]

B)  4 females and 1​ males

The possible ways of choosing 4 females and 1 males is given as:

[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]

probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]

C)  5 females

The possible ways of choosing 5 females  is given as:

[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]

probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]

​(D) At least 4​ females

This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)

The possible ways of choosing atleast 4 females  is given as:

[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]

probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]

plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x

Answers

Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito

Answers

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

Obtenga más información aquí: https://brainly.com/question/22309443

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?

Answers

Answer: 32

Step-by-step explanation:

Let x + y = 5

x = 5 - y....................(1)

10x + y -9 = 10y + x..... . (2)

Substituting (1) in (2)

10(5-y) + y - 9 = 10y + (5-y)

50-10y + y - 9 = 10y + 5 - y

41 - 9y = 9y + 5

-9y - 9y = 5-41

-18y = - 36

y = 36/2 = 2

So, x = 5-2 = 3

How are ΔABC and ΔADE related?

Answers

Answer:

They are congruent

Step-by-step explanation:

An infinite series is represented by:

Answers

the infinite numbers is represented by D.

VERY MAD NOONE WILL ANSWER ME

Answers

Answer: Only C

Step-by-step explanation:

Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out.  Thus, it can be any value.

Which one is not a polynomial



– p + 5 + p^2

x^2 + 5x

(x - 1)/x

x^3 - 3​

Answers

Answer:

(x-1)/x

Step-by-step explanation:

its not having any term .

Answer:

(x - 1)/x

Step-by-step explanation:

A polynomial can have variables, variables raised to exponents, and variables can be multiplied by numbers. A polynomial cannot have division by a variable, a variable in a root, a logarithm of trig function of a variable.

All are polynomials except for (x - 1)/x where there is division by a variable.

.................................

Answers

Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c

** BRAINLIEST IF ANSWERED**

The area of the regular hexagon is 50 in sq. What is the measure of the apothem? *

10 in

2 in

25 in

5 in

Answers

Answer:

Area of apothem is 8.33 inches

Step-by-step explanation:

Mathematically,

Area of hexagon = 1/2 * apothem * number of sides * length of side

Area = 50 in square

apothem = ?

number of sides = 6

Length of side = 2 inches

Substituting the values, we have;

50 = 1/2 * A * 6 * 2

50 = 6A

A = 50/6

A = 8.33 inches

d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)​

Answers

Answer:

Output work = 1Nm

Input work = 1Nm

Load arm = 0.02m

Step-by-step explanation:

Given the following :

Effort applied = 10N

Load = 50N

Effort distance = 10cm = 10/100 = 0.1m

Calculate : the load arm, input work and output work

Input work = Effort × distance moved by effort

Input work = 10N × (0.1)m = 1J

B) Load arm or load distance :

Mechanical advantage (MA) = load / effort

MA = 50 / 10

MA = 5

MA = input distance / output distance

5 = 0.1 / load arm

load arm = 0.1 / 5

load arm = 0.02m

C.) Output work :

Load × load distance

50N × 0.02

Output work = 1J

Sally is reading a comedy book. The table below shows a proportional relationship between the number of pages she reads and the number of hours she spends each day reading. What is the constant proportionality in pages per hour? Hours 4 5 Number of Pages 20 25 Show your work:

Answers

Answer:

5 pages per hour

Step-by-step explanation:

Here, we need the constant of proportionality in pages per hour.

This is just like having 2 sets of point of a graph and asked to find the slope

Where the pages is the y-axis or vertical axis and the number of hours is the horizontal axis.

So let’s proceed to say we have points ;

(4,20) and (5,25)

So the constant of proportionality would be;

(25-20)/(5-4) = 5/1 = 5 pages per hour

Jake’s Cameras purchased a digital camera at a wholesale cost of $80. They marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the camera didn’t sell, the store reduced the selling price by 25 percent. After how many monthly price reductions did the price dip below the wholesale cost?

Answers

Answer:

2 months

Step-by-step explanation:

$80 x 0.5 = $40

$80 + $40 = $120

$120 * 0.25 = $30

1st month - $120-$30 = $90

2nd month - $90-$22.5 = $67.5

Answer:

AFTER 2 MONTHS

Step-by-step explanation:

Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.

Answers

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)

Answers

Answer:

D (6,1)

Step-by-step explanation:

[tex]x + 3y = 9[/tex]

[tex]y = x-5[/tex]

When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.

[tex]x + 3y = 9[/tex]

[tex]x+3(x-5)=9[/tex]

[tex]x+3x-15=9[/tex]

[tex]4x=9+15[/tex]

[tex]4x=24[/tex]

[tex]x=6[/tex]

When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.

When x=6, substitute into [tex]y = x-5[/tex]

[tex]y=6-5[/tex]

[tex]y=1[/tex]

Hooray, now you have the value of x and y which are x=6 and y=1.

I hope you will understand the answer.

You can ask any question here if you still cannot get the point. Don't be shy.

Answer:

d (6,1)

Step-by-step explanation:

a pex

A. True

B. False

Plz answer




Answers

Answer:  

              TRUE

Step-by-step explanation:

≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)

So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC

{ΔABC≅ΔDEF  and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO

And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC

{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR

9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.​

Answers

Answer:

a) deceleration = 0.4 m/s^2

b) distance = 320m

Step-by-step explanation:

a)

using formula a = (v-u)/t,

acceleration a = unknown (deceleration is the negative of acceleration)

final velocity v = 0 m/s (rest)

initial velocity u = 16 m/s

time t= 40s.

a = (0-16)/40

a = -0.4

Hence deceleration = 0.4 m/s^2

b)

Use formula v²-u² = 2as

distance s = unknown

0²+16² = 2(-0.4)(s)

s = 320m


Hellppppppplpp pleaseee

Answers

it would be 3

15 divided by 5 is 3
25 divided by 5 is 5

Answer:

The answer is 3.

Step-by-step explanation:

In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.

Hope this helps! Stay safe! So cool that you live in the UK!

xx gloriouspurpose xx

p.s. from america lol

It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g

Answers

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

Find the area of the shaded regions

Answers

Answer:

c

Step-by-step explanation:

Please answer this question now in two minutes

Answers

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3

Answers

Answer:

The angles of this would be x=30

Step-by-step explanation:

If they are proportional to 1:2:3, then we can do 2 things.

They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.

Second, the angles of an triangle equal 180.

Adding 1 + 2 =

1x + 2x + 3x = 180

6x = 180

x = 30

Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.

4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $​

Answers

Answer:

Step-by-step explanation:

The pasta plate will cost $​ 5.5

y=4x+2.5 ( x is the number of ingredients)

$​ 2.5+(4*0.75)= 5.5 dollars

what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)

Answers

Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

SOMEBODLY PLZ HELP ASAP! Find x

Answers

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

4i believe your answer is X=4
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