Factorise completely the expression below: 6ax+12by-9ay-8bx​

Answers

Answer 1

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)


Related Questions

Confused on this work

Answers

We know that :

 Sum of the interior angles in a Pentagon should be equal to 540°

⇒  x° + (2x)° + (2x)° + 90° + 90° = 540°

⇒  (5x)° = 540° - 180°

⇒  (5x)° = 360°

[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]

x° = 72°

If h(2) = 5 – 722, what is h(-1)?

Answers

Answer:

Step-by-step explanation:

For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!

Answers

For every person that walked there were 12 who drove and if the 270 made the trip then 87 walked

Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?

Answers

$83.60 in gross wages

A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?

Answers

Answer:

120

Step-by-step explanation:

i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120

An item costs $386 before tax, and the sales tax is $15.20.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

Sales tax rate = 3.94%

Step-by-step explanation:

[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]

Sales tax rate = 0.039378... ⇒ 3.94%

integers between -2 and +3​

Answers

Answer:

-1, 0, 1, 2,

Step-by-step explanation:

Darrel receives a weekly salary of $435. In addition, $12 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 189 items?

Answers

Answer:

2703

explanation:

12×189=2268

2268+435=2703

Darrel earned 1503 dollars that week.

How to count no. of digits from a certain no. to a certain no. ?

Suppose we are given how many no. are there from 224 to 358.

To find do the following (358 - 224 + 1) = 135 numbers.

According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.

Here excess of 100 items means after 100 which is 101.

He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.

Given for each item he is paid 12 dollars.

∴ For 89 items he is paid (89 × 12) dollars which is

= 1068 dollars.

So in that week Darrel earns total of (435 + 1068) dollars.

= 1503 dollars.

Learn more about these types of problems here :

https://brainly.com/question/16093003

#SPJ2

Andrew can paint the​ neighbor's house 6 times as fast as The year and worked​ together, it took them 5 days. How long would it take each to paint the​ house?

Answers

Answer: [tex]\dfrac{35}{6}\ \text{days},\ 35\ \text{days}[/tex]

Step-by-step explanation:

Given

Andrew can paint  times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

[tex]\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}[/tex]

So, time taken by the to finish individually is given by

[tex]\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}[/tex]

In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degrees 130 degrees 30 degrees

Answers

Mark brainlist please!

Answer is 50 degrees

Since,

measure of angle F + measure of angle G + measure of angle H = 180

30 + 100 + measure of angle F = 180

Measure of angle F = 180 - 130

Measure of angle F = 50 degrees


What is sin 62°?
62
17
8
28°
90°
15
O
A.
B.
O O
c.
O

Answers

Answer:

The letter C. 15/17

Answer:

sin = opposite/hypotenuse.

the hypotenuse is 17, adjacent is 8 and opposite is 15

15/17 is sine of 62. (C is the correct answer.)

Step-by-step explanation:

Pls pls help it would mean so much!!! The function is f(x)=x^2+4x-1
Tyyyyy

Answers

Answer:

the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)

B

Step-by-step explanation:

first we take the first derivative

x²+4x-1 = 2x+4

set this equal to 0 and solve

2x+4= 0

2x= -4

x= -2

we then have two intervals

(-∞,-2) u (-2,∞)

to find out whether something is decreasing on increasing on these intervals just plug in any number in the interval

if the result is positive it's increasing

if it's negative it's decreasing

Let's plug in x= -4 for the interval (-∞, -2)

2(-4)+4= -4

it's negative so it's decreasing on this interval

let's then plug in x=0 for the interval (-2,∞)

2(0)+4= 4

this is positive so it's increasing on this interval

So the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)

which is equal to to B

what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm

Answers

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9

Answers

Answer:

9y + 13

Step-by-step explanation:

a number would best represent as a variable (doesn't matter which letter)

plus thirteen would represent an addition to 13

What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form

Answers

Answer:

y=-5x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-16-(-6))/(4-2)

m=(-16+6)/2

m=-10/2

m=-5

y-y1=m(x-x1)

y-(-6)=-5(x-2)

y+6=-5(x-2)

y+6=-5x+10

y=-5x+10-6

y=-5x+4

Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b

Answers

Answer:

44.8 cm

Step-by-step explanation:

Given

See attachment for shapes

[tex]P_A= 56cm[/tex]

Required

The perimeter of B

Let the length of a side of the square that makes up A be, l.

So, we have:

[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l

[tex]56 = 10 * l[/tex]

[tex]l =\frac{56}{10}[/tex]

[tex]l =5.6[/tex]

The perimeter of B is:

[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l

[tex]p_B = 8*5.6[/tex]

[tex]p_B = 44.8[/tex]

PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED

explaining your answer = brainliest

The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?

answer has to be in SIMPLEST form

Answers

Answer:

[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Step-by-step explanation:

In this problem, we will use the following formula:

A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angle

Step 1: Plug in for C and r.

A =  [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]

Step 2: Solve.

A = [tex](\frac{1}{10})4\pi[/tex]A =  [tex]\frac{2}{5} \pi[/tex]

Final answer (simplified & exact):  [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

[tex]y = \frac{1}{2}x + 6[/tex]

Step-by-step explanation:

[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]

Step 1 : Find slope, m

              [tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]

Step 2 : Find the equation

                [tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.

(6, 9)  is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).

The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.

Put all of this into y =mx +b, and you get y= 1/2x + 6.

If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use  (6, 9).

9 = 1/2 (6) + 6

9 = 3 + 6

9 = 9. It works out, therefore the equation right.

Hope this helps

Help me please and thank you

Answers

Step-by-step explanation:

i dont know i guess we'll never know

which parallelogram (if any) is a rectangle by what property

Answers

Answer:

c

Step-by-step explanation:

i dont know how to explain it but yeah

Answer:

c

Step-by-step explanation:

The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11

Answers

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

[tex]1=\frac{-6-1}{x-4}[/tex] and

[tex]1=\frac{-7}{x-4}[/tex]  and cross multiply to get x - 4 = -7 so

x = -3

PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(

A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.

Answers

Answer:

Length: 20 or 40 feet

Width: 40 or 20 feet

Step-by-step explanation:

Area = 800 = length*width = x*(60-x)= 60x - x^2

- x^2 + 60x - 800 = 0

x = 20

Or x = 40

So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)

I need help with my geometry work!

Answers

Answer:

43 degrees

Step-by-step explanation:

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.

Answers

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]

Also,

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is the angular speed

So,

[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI

Answers

The answer is going to be option 3) - calculer le volume de la pyramid SEFGH

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help

Answers

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.

Answers

Answer:

The function represents the height of the water in the bucket

Step-by-step explanation:

Given

[tex]f(t) = -t^2 + 4t[/tex]

Required

State what the function represents

From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.

This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)

Question 4 of 10
The mean of 100 numerical observations is 47.83. What is the value of the
sum of all 100 numbers?
O A. 47.83
O B. 4783
O C. 0.4783
O D. 478.3
O E. 4.783

Answers

Answer:

B; 4,783

Step-by-step explanation:

To find the sum, we have to multiply the number of observations by the mean

Therefore, we simply have the sum calculated as follows;

100 * 47.83 = 4,783

Complete the angle addition postulate for the following angle

Answers

Answer: AOB

This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.

If i get 8 dollars an hour , and work 5 hours and work 3 days a week , how much money did i make that week

Answers

The answer is $120. 8x5= 40. 40x3=120

Answer: $120

Step-by-step explanation:

8x5=40  40x3=120

you multiply 8 and 5 then multiply the answer to 3 and you get 120

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