Factorise:
(a).125m^3+27n^3+225m^2n+135mn^2

(B). 64a^3-144a^2b+108ab^2-27b^3

Plz answer, it's urgent. ​

Answers

Answer 1

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3


Related Questions

if it was 10:00 and i did somthing for 180 mins (45mins X 4) what time would it be

Answers

Answer:

13:00 or 1:00

Step-by-step explanation:

Good Night

Sweet Dream

A circle has an area of 201.0619. What is the diameter? (round to the nearest whole number)

Answers

The diameter of the circle is approximately 16

Answer:

16

Step-by-step explanation:

d≈16

A Area

201.0619

Using the formulas

A=πr2

d=2r

Solving ford

d=2A

π=2·201.06

π≈16

Solve the equation for x.

Answers

Answer:

X is equal to 7

Step-by-step explanation:

Open parenthesis.

3/4x +63/4=21/2

take common denominator

3/4x=42/4-63/4

Solve

3/4x=-21/4

3x=21

x=7

Please helppppppp meeeee it’s easy :)

Answers

Dude the answer is b

Pls help and show workings due ASAP

Answers

Answer:

x is 5

ST is 45

Step-by-step explanation:

In the given figure

∵ m is the bisector of the segment SU

→ That means m intersects SU at the midpoint of SU

∵ m ∩ SU at point T

T is the midpoint of SU

→ The midpoint of a segment divides it into two equal parts

∵ The point T divides SU to ST and TU

ST = TU

∵ ST = 9x

∵ TU = 4x + 25

→ Equate them

9x = 4x + 25

→ Subtract 4x from both sides

∵ 9x - 4x = 4x - 4x + 25

∴ 5x = 25

→ Divide both sides by 5

x = 5

→ Substitute the value of x in ST

∵ ST = 9(5) = 45

ST is 45

A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel at speeds shown below. Firework B is launched 0.25 s before Firework A. How many seconds after Firework B launches will both fireworks explode? Firework A 240 ft/s Firework B 200 ft/s​

Answers

Answer: 1.50 seconds

Step-by-step explanation:

Let x = Time taken by Firework A to explode( in seconds ).

Time taken by Firework B = x+ 0.25 seconds

Distance covered = Time × Speed

Distance covered by Firework A = 240 x

Distance covered by Firework B = 200 (x+0.25) = 200x+50

When both at same height , then

240x = 200x+50

⇒ 240x- 200x =50

⇒40x =50

⇒ x = 1.25

Total time = x+ 0.25 = 0.25+ 1.25 = 1.50 seconds

Hence. after Firework B launches it will take 1.50 seconds to launch.

9) In a study of 200 students under 25
years old, 20% have not yet learned
to drive. How many students cannot
drive?

Answers

40 students cannot drive

Answer:

40 students cannot drive

Step-by-step explanation:

200 divided by 10 = 20

20 times 2 = 40

Calculate the total surface area of this hemisphere.
Give your answer to 1 decimal place (has a radius of 4cm)

Answers

Answer:

150.9 cm^2

Step-by-step explanation:

Here. we want to calculate the surface area value of a hemisphere with a radius of 4 cm

To calculate this, we use the equation for the area

This is;

3 * pi * r^2

= 3 * 22/7 * 4^2 = 150.9 cm^2

in angle HIJ the measure of angle J is equal to 90° HI is equal to 88 ft,and IJ=62ft . find the measure of angle I to the earest tenths of a degree

Answers

Answer: [tex]45.21^{\circ }[/tex]

Step-by-step explanation:

Given

[tex]\angle J=90^{\circ }[/tex]

HI=88 ft

IJ=62 ft

From the figure, we can write

[tex]\cos I=\frac{IJ}{HI}=\frac{62}{88}=\frac{31}{44}\\I=\cos^{-1} (\frac{31}{44})=45.207^{\circ }\approx 45.21^{\circ }[/tex]

What is the equation for a line with slope -4 and y-intercept 1?

Answers

Step-by-step explanation:

General line equation: y = mx + c, where

m is the line slope and c is the y-intercept.

Hence our line equation is y = -4x + 1.

Answer:

1=-4x+b

Step-by-step explanation:

y=mx+b

1=-4x+b

You still need the answers for (x) and (b), but this is what you can use for me

Look at the line segment that is graphed below.

What is the length of PQ¯¯¯¯¯, rounded to the nearest tenth?
P= -6,2 Q= 4,-7

Answers

Answer:

11.2

Step-by-step explanation:

What are the first 6 multiples of 3?

Answers

Answer:

1 and 3 so 3

Step-by-step explanation:

6:1,2,3,6

3:1,3

Which of the following is NOT a ratio?
A- (1,2)
B- 1:2
C- 1/2
D- 1 to 2

Answers

Answer:

A is not a ratio

Step-by-step explanation:

Answer:

A. - (1,2)

Step-by-step explanation:

We can represent the ratio as a fraction (like in C.), by using the preposition "to" just like in D, and by using a ":" sing just like in number B. So that leaves us with only one option which is A.

Is (-7,-4) a solution of -2y-x=15?

Answers

Answer:

Yes it is

Step-by-step explanation:

Select all the expressions that simplify to a positive number.
13 – 25
–10.5 + 11
(–30) ÷ (–10)
4.25 ⋅ (–1.25)
–10 + (–18)

Answers

(-30)/(-10) this is the only expression that simply to a positive number it would be 3

Answer:

C is the awser.

Step-by-step explanation:

-30 / (-10)= 3

two of the same sign results in the opiste sign.

Which expression is equivalent to x2+7x+10

Answers

Answer:

(x+5) (x+2)

Step-by-step explanation:

Which expression means the same as the phrase below?
Subtract 3 from the product of 8 and 5
A (5 x 8) + 3
B (5 x 8) - 3
5 x (8 – 3)
D5 x (8 + 3)

Answers

B - (5 x 8) - 3

A is adding 3, not subtracting.
C is basically 5 squared.
D is 5 lots of 11.

HELP ILL GIVE BRAINLIEST Write (2 + 3i)^3 in simplest a + bi form.

Answers

Answer:

18

Step-by-step explanation:

(2+3)^3 = (6)^3 = 18

Step-by-step explanation:

18

(2 + 3)^3=(6)^3=18

Which expression is a way to represent the ratio of a to b?



b:a

b to a

a/b

b/a

Answers

Answer:

a/b

Step-by-step explanation:

ratio is a to b so a:b or a/b

Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?

Answers

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

An Olympic swimmer can swim at a rate of 4 3/4 laps per minute for a time of 15 minutes. At this rate, how far can an Olympic swimmer swim?

Answers

Answer:

15min : 4 3/4 laps

30min : 9 2/4 laps

45min: 14 1/4 laps

60min: 20 laps

Step-by-step explanation:

CAN SOMEONE PLS HELP WITH THIS ASAP

Answers

Answer:

2,4,5 - obtuse angle

3,4,5 - right angle

6,7,8 - acute angle

7,9,15 - obtuse angle

3,3,10 - cannot form a triangle

Solve m/8<4 graph the solution

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    m/8-(-4)<0

           m

Simplify   —

           8  

m    

 — -  -4  < 0

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  8  as the denominator :

         -4     -4 • 8

   -4 =  ——  =  ——————

         1        8     8    

Step-by-step explanation:

the answer is m<-32

The solution of inequality m/8 < 4 is,

⇒ m = 32

Which is shown in graph of image.

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The expression of the inequality is,

⇒ m/ 8 < 4

Now, We can simply the expression as;

⇒ m/ 8 < 4

⇒ m/ 8 - 4 < 0

⇒ (m - 32)/8 < 0

⇒ m - 32 < 0

⇒ m < 32

Therefore, The solution of inequality m/8 < 4 is,

⇒ m = 32

Which is shown in graph of image.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ3

A lug nut is used to secure a wheel on a vehicle. Most lug nuts are shaped like regular pentagons or regular hexagons. However, some lug nuts are shaped like regular heptagons (7 sided). What is the measure of each interior angle of a regular heptagon lug nut? Round your answer to the nearest degree

Answers

Answer:

[tex]129^{\circ}[/tex]

Step-by-step explanation:

n = Number of sides of a polygon = 7

The interior angles of a polygon is given by

[tex]\theta=\dfrac{(n-2)180^{\circ}}{n}[/tex]

[tex]\Rightarrow \theta=\dfrac{(7-2)\times 180^{\circ}}{7}[/tex]

[tex]\Rightarrow \theta=\dfrac{5\times 180^{\circ}}{7}[/tex]

[tex]\Rightarrow \theta=\dfrac{900^{\circ}}{7}[/tex]

[tex]\Rightarrow \theta=128.57^{\circ}\approx 129^{\circ}[/tex]

Each interior angle of a heptagonal nut is [tex]129^{\circ}[/tex].

Casey is trying to run a certain number of miles by the end of the month if Casey is 60% of the way to achieving our goals and she has already ran 24 miles how many miles is she trying to run by the end of the month

Answers

Answer:

40 miles is her goal.

Step-by-step explanation:

The problem says that 24 miles is 60% of her goal for that month.

You cab make a proportion with x being the goal for the whole month.

24/x = 6/10

You cross multiply and get:

6x = 24 x 10

6x = 240

x = 40

40 miles is the answer.

Help me please i need it

Answers

Answer:

Um A?

Step-by-step explanation:

OKAY WHY ARE U IG

-ORI

-G  ME!!!!!

Simplify (v5)(3v5)

[tex]( \sqrt{5) } ( \sqrt[3]{5)} [/tex]

Answers

Answer:

Чеееееееееннннннннннееееее блин

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}+\frac{1}{3}=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\= \frac{3}{6}+\frac{2}{6}\\\\= \frac{5}{6}[/tex]

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

[tex]\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}} * 5^{\frac{1}{3}}\\\\= 5^{\frac{1}{2}+\frac{1}{3}}\\\\= 5^{\frac{5}{6}}\\\\= \sqrt[6]{5^{5}}[/tex]

help please and thank you :)

Answers

9514 1404 393

Answer:

  (b)  see below

Step-by-step explanation:

These tables all have x-values that are consecutive integers, including 0.

The equation has an x-coefficient of -1/2, so as x increases by 1, y should decrease by 1/2 from one row of the table to the next. This is only the case for table B.

__

As another check, the y-value for x=0 is the constant in the equation, -1. That is not the case for table C, further evidence that C is incorrect.

See attached image for the question.

Answers

Answer:

B. 1

Step-by-step explanation:

(2x/2x+1 ) + (1/2x+1) = (2x+1) / (2x+1) = 1

(2,-8) and has a slope of 4

Answers

Answer:

The equation of the line is;

y = 4x - 16

Step-by-step explanation:

Here, we want to find the equation of a line that passes through the point (2,-8) and has a slope of 4

To get this equation, we are going to use the point-slope form

Thus, we have it that;

y-y1 = m(x-x1)

y -(-8) = 4(x-2)

y + 8 = 4x - 8

y = 4x -8-8

y = 4x - 16

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