Maths assignment
a^4-16

Answers

Answer 1

Answer:

[tex]a^4-16[/tex]

[tex]\left(a^2\right)^2-4^2[/tex]

[tex]\left(a^2+4\right)\left(a^2-4\right)[/tex]

[tex]=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)[/tex]

------------------------

Hope it helps...

Have a great day!!

Answer 2

Step-by-step explanation:

The difference of squares: a² - b² factors to (a - b) (a + b)

Let x⁴ = (x²)²

Let 16 = 4²

Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)

The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)


Related Questions

guys help pls
Find the ratio in the lowest term
a) 1.5 meter and 75 cm
b) 600 meter and 1.2 km
pls help plss​

Answers

Answer:

2; 0.5

Step-by-step explanation:

1.5 m and 75 cm

1.5m= 150 cm

150 cm>75 cm

[tex] \frac{150}{75} = 2[/tex]

600 m and 1.2 km

1.2 km=1200 m

600 m<1200 m

[tex] \frac{600}{1200} = 0.5[/tex]

i am having troubles solving this 4(x+3)=x+42 can i get some help please.

Answers

Answer:

x=10

Step-by-step explanation:

Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42

Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30

Step 3: Divide by the 3 on both sides and you'll get x=10

Given:

[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]

Solution:

[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]

Verification:

[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]

Hence Verified!

There are 1125 students in a school. If a student pays Rs. 300 as fees and
Rs. 100 as bus charge per month, how much money is collected in a month?

Answers

The school would get 450000 per month

-9-13+2+13−9−13+2+13minus, 9, minus, 13, plus, 2, plus, 13.
me lo pueden resolver porfa es para mañana antes de la 12:59

Answers

Answer:

-21

Step-by-step explanation:

comments

What is the area? please help

Answers

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

express 23/7 in decimal form

Answers

Answer:

3.285714286

Step-by-step explanation:

Which expression is equivalent to x^6 – 5

Answers

Answer:

Amdjss

Step-by-step explanation:

Helpp mee plss in this one

Answers

I think it’s ordinary annuity

No. of She 2. a) The amount of pocket money in Rs) brought by 20 students of class VII on a day are given below. Let's construct a frequency distribution table with tally marks. 30, 40. 25, 35. 40. 40. 30. 25, 20 40. 45. 35. 40. 30. 40, 30, 50. The numbe Draw a sin Classes​

Answers

Answer:

there are 17 pupils in the class

There are 17 students in the class to ur question

About how many cells are in the human body?

You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.

Answers

Answer:

In other words: The human body consists of some 37.2 trillion cells.

Step-by-step explanation:

can somebody explain how they got 37.2 trillion cells.!!!

please helpppp

Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and
C(-7, 4) under a rotation of 90° clockwise about the origin.

Answers

Answer:

A'(-3,0), B'(0,-3) and C'(4,7)

Step-by-step explanation:

We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).

We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.

90° clockwise about the origin

Rule:[tex](x,y)\rightarrow (y,-x)[/tex]

Using the rule

The coordinates of A'

[tex]A(0,-3)\rightarrow A'(-3,0)[/tex]

The coordinates of B'

[tex]B(3,0)\rightarrow B'(0,-3)[/tex]

The coordinates of C'

[tex]C(-7,4)\rightarrow C'(4,7)[/tex]

Hence, the vertices of image of triangle is given by

A'(-3,0), B'(0,-3) and C'(4,7)

The graph of a linear relation passes through the point (-2,7) and has a slope of 1/6.
Determine an equation for this linear relation in slope intercept form.

Answers

Answer:

Step-by-step explanation:

eq. of any line withslope 1/6 is

y=1/6x+c

∵ it passes through (-2,7)

so 7=1/6(-2)+c

c=7+1/3=22/3

eq. of line is

y=1/6x+22/3

Answer:

y = 1/6x + 7 1/3

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept

y = 1/6x+b

Substitute the point into the equation

7 = 1/6(-2)+b

7 = -1/3+b

Add 1/3 to each side

7 1/3 = b

y = 1/6x + 7 1/3

A quadrilateral ABCD has the area 10 square feet. After a dilation with a scale factor of 3, find the area of quadrilateral A'B'C'D'.

Answers

10 x 3^2

= 10 x 9

= 90

If 2 < 20x - 13 < 3. what is one possible value for x?

Answers

Answer:

one possible value for x is 31/40

Step-by-step explanation:

Let's isolate the 20x term.  Add 13 to all three terms:

2 + 13 < 20x - 13 + 13 < 3 + 13

and this simplifies to:

15 < 20x < 16

Dividing all three terms by 20, we get:

15/20 < x < 16/20

A fraction halfway between 15/20 and 16/20 is (31/20)/2, so

one possible value for x is 31/40.

Check by substituting this into the original equation and checking whether that equation is now true:

2 <20(31/40) - 13 < 3

or

2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)

Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?

Answers

Answer:

2cm/present is the unit rate

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]

[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]

[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]

[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Find the surface area of the composite figure

Answers

Answer:

384 cm^2

Step-by-step explanation:

Start with the prism (I multiply by 2 because some of the surfaces are more of):

4×15×2=1206×15×2=1806×4=24

The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):

3×4/2*2=123×6=186×5=30

The Last Step (adding everything):

120+180+24+12+18+30=384

If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?

Answers

Answer:

If you add a picture I can help

Step-by-step explanation:

I need to see what the figure looks like

Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|

Answers

Answer:

D

Step-by-step explanation:

The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.

A) I -4.5I = 4.5    TRUE

B) I 0I  < I -45I   TRUE  

Reason: 0 < 45

C) I 45 I > 0         TRUE

D) I4.5 I > I - 45 I     FALSE

Reason: 4.5is not greater than 45

Answer:

D

Step-by-step explanation:

From the table below, determine whether the data shows an exponential function. Explain why or why not. x 3 1 -1 -3 y 1 2 3 4 a. No; the domain values are at regular intervals and the range values have a common sum 1. b. No; the domain values are not at regular intervals. c. Yes; the domain values are at regular intervals and the range values have a common factor 2. d. Yes; the domain values are at regular intervals and the range values have a common sum 1. Please select the best answer from the choices provided A B C D

Answers

A………………………………………………….

Answer:

C

Step-by-step explanation:

you find the variable

Select the correct answer.


Look at ΔABC. Which triangle is congruent to ΔABC by the ASA criterion?

Answers

Your answer to this equation is A

Help!!!! Please!! Thanks

Answers

never saw an indian guy asking for help in so simple question

Step-by-step explanation:

ans of 3rd   given statement is true, conclusion, mb=nb

ans of 4th    given statement is true, conclusion alt int angles of paralel lines are equal

AB=BA
∠ABM=∠ABN
MB=NB
△AMB≌△ANB (SAS)

∠CBM=∠ADM
∠BCM=∠DAM
∠BMC=∠DMA
△BCM∽△DAM (AAA)

Hope my answer helped u :)

It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times

Answers

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that [tex]\sigma = 4[/tex]

A sample of 25 wait times is randomly selected.

This means that [tex]n = 25[/tex]

What is the standard deviation of the sampling distribution of the sample wait times?

[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Find the largest integer not greater than the following expression :
[tex]\displaystyle \large \boldsymbol{} \frac{2150}{2005} +\frac{2150}{2006} +\frac{2150}{2007 } + ...+\frac{2150}{2020}[/tex]

Answers

Answer:

17

Step-by-step explanation:

The number of terms:

2020 - 2004 = 16

Each term is greater than 1, so the expression is greater than 16:

2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020

It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.

The sum is:

S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17

So the largest integer not greater than S is 17.

If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?

Answers

Answer:

2 is the answer........

Answer:

the answer is 38 degrees

Step-by-step explanation:

just took test on ed

A(-3,3),b(0,1) and c(-1,-4)

Answers

Step-by-step explanation:

domain (-3,0,-1)

range (3,1,4)

ILL GIVE A BRAINLISTYY HELP PLS

Answers

Answer:

?

Step-by-step explanation:

What information could be added to the following triangles in order to prove them
similar by the angle-angle similarity theorem?

Answers

Triangle HIJ is similar to triangle MNO  by the angle-angle similarity theorem if ∠O ≅ ∠J.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangle are said to be similar if the ratio of their corresponding sides are in the same proportion and corresponding angles are congruent.

Triangle HIJ is similar to triangle MNO  by the angle-angle similarity theorem if ∠O ≅ ∠J.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

2/3 of a number is 20 less than the original number.find the number

Answers

40 40 50 hersssdxddasd

The table shows the steps for solving the given inequality 4-3(x-5)>6x-17

Answers

Step-by-step explanation:

(=) 1 ( x-5 ) > 6x-17

(=) x-5 > 6x -17

(=) -5x > -12

=> x < 12/5

What is the result of rounding 8,888,888 to the nearest ten?

Answers

Answer:

8,888,890

Step-by-step explanation:

yup yup

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