(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following ​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]

[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]


Related Questions

Which of these functions have a domain of all real numbers?​

Answers

Answer:

I think it's A. I may be wrong tho.

Answer: A. Functions f, g, and h

Step-by-step explanation: Plato answer

need help what is this

Answers

Answer:

2nd option

Step-by-step explanation:

Substitute the values of x from the domain into f(x) for range

f(2) = 2³ + 1 = 8 + 1 = 9

f(3) = 3³ + 1 = 27 + 1 = 28

f(4) = 4³ + 1 = 64 + 1 = 65

range is {9, 28, 65 }

Answer:

hwhiwbshs bengshhwwvvw

Step-by-step explanation:

Find -3A+6B ...........

Answers

-3(a-2b)vavsbbshshwhwjwjwjwjwjjw

21
Determine which equations are in standard form.
A 6x-7y=8
B y = 2x + 6
1
с
52 + 2y = 3
=
D
4x - 11y =-7
E - 3x + 5y = 12
-

Answers

The standard form of linear equations is Ax + By = C where A and B ≠ 0, and A is non-negative.

Therefore, the correct answer is A) 6x - 7y = 8

Which system of equations has a solutions x=0,y=1?

Answers

Answer:

y+x=1

y-x=1

Step-by-step explanation:

Well If x is 0, its pretty straight forward.

1+0=1

1-0=1

lol hope this helps

What is the midpoint of XY

Answers

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong


Monday's low temperature was – 19" and its high was –7

Answers

Answer:

-19 degrees fahrenheit?? and -7 degrees celcius??

Step-by-step explanation:

does anyone know how to this ?​

Answers

Answer:

For the first one put 3/5 then for the other box I THINK its 15

Step-by-step explanation:

According to the following equation, what happened to the carbon and oxygen?



they combined chemically to form a new compound



they combined physically to form a new element


they combined physically to form a new mixture



they combined chemically to form carbon and oxygen

Answers

Answer:

b

Step-by-step explanation:

Rationalisie the denominator of: 4√3/2-√2​

Answers

Answer:

[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]

Step-by-step explanation:

[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]

By Rationalizing the denominator:-

[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]

[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]

[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]

[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]

[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]

Can some one please help

Simplify 4(11-6)+2

Answers

Answer: 22

Step-by-step explanation:

11 - 6 = 5

4 x 5 = 20

20 + 2 = 22

' pls can i have brainliest? i need it for my goal'

Answer:

22

Step-by-step explanation:

Solve whats in the paranthesis: (11-6) = 5

New problem: 4(5) + 2

Then multiply: 20+2

Finally add both numbers together: 22

Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC? AC equals CB times CD all over CE AC = AB AC equals CB times AC all over CE AC = BC

Answers

Answer:

AC equals CB times CD all over CE

The lengths of the sides of the scaled drawing can be determined from the

relation between similar triangles.

The expression that will help Jolene determine the length segment AC is the option;

[tex]\displaystyle \underline{CD= \frac{CB\cdot CD}{CE}}[/tex]

Reasons:

The given parameters are;

The figure Jolene is trying to create = A scaled up blue print

Given that in ΔACB and ΔABC, we have;

DE and AB are parallel

Therefore;

∠CED ≅ ∠CBA by corresponding angles

∠CDE ≅ ∠CAB by corresponding angles

∠C ≅ ∠C by reflexive properties

ΔCDE ~ ΔACB by Angle-Angle similarity postulate

Therefore, by similar triangles, and triangle proportionality, we have;

[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]

Therefore;

[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]

Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/14445094

Please help with full solution ;)​

Answers

Answer:

None Of These

Step-by-step explanation:

Because you cannot determine what the two sides are because there are 2 missing variables.

This is a linear equation and has infinite solutions.

Another equation matching this is needed to find a specific answer.

Hope This Helps :)

A certain monthly magazine has both print and online subscribers. Print subscribers are people who pay to have the magazine physically delivered to them each month. Online subscribers are people who pay to have access to the electronic version of the magazine. The editors of the magazine want to study how online subscribers feel about the design of the electronic version, and they will gather data from a sample. Which of the following is a sample of the population of interest?

a. 50 subscribers to the magazine
b. 50 print subscribers
c. 50 online subscribers
d. 50 people who buy a copy of the magazine at a newsstand
e. 50 people who find an article in the magazine while searching online

Answers

The sample population of interest is 50 online subscribers.

Sample population of interest is said to be the total number of people one is considering for a particular study. In this question, online subscribers. This means the total people being considered for making the particular study.

to learn more, visit https://brainly.com/question/16720016

8/13×2/6 in its simplest form

Answers

I think it’s 883828282

Answer:

[tex]\frac{9}{39}[/tex]

Step-by-step explanation:

Multiply the two denominators together and the two numerators:

[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]

[tex]= \frac{16}{78}[/tex]

Divide both numbers by two to simplify:

[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]

So the simplest form is:

[tex]\frac{9}{39}[/tex]

Hope this helps!

Write the slope intercept form of the equation given the slope of 4 and the y intercept
of (0,-2)

Answers

Answer:

y=4x-2

Step-by-step explanation:

m=4

put what numbers you know into the equation for b.

-2=4(0)+b

-2=0+b

-2=b

now put that into the equation

y=4x-2

HELPPP!!!



A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.

Answers

25.5

Step-by-step explanation:

The way to do this is:

80 * 3.14 equals to roughly 25.5

Suppose f(x) = 3x*2 - 2x

Find f(-4)

Answers

Answer:

f(- 4) = 56

Step-by-step explanation:

Substitute x = - 4 into f(x) , that is

f(- 4) = 3(- 4)² - 2(- 4) = 3(16) + 8 = 48 + 8 = 56

How many wholes are there in 7/3

Answers

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

Guys pls help me!!!!!!!

Answers

Answer:

64 degrees

Step-by-step explanation:

since x is corresponding to 64, they are congruent.

Answer:

x = 64

Step-by-step explanation:

x and 64° are corresponding angles and are congruent , then

x = 64

Which shows where the function is decreasing?
O A only
O Conly
O C and D
O A and C

Answers

Answer is C only. When you increase X, the f(x) is going downwards.

Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+4y=4

Answers

6x + 4y = 4
4y = 4 - 6x
4y = -6x + 4
y = -6/4x + 1
y = -3/2x + 1

Match the situation to the most appropriate graph #7

Answers

Graph K. This is because the cost of a gallon of milk is not increasing constantly, as in a linear rate, but it has only increased a few times in a year. Therefore, graph K shows that a gallon of milk is a steady, unchanged price, then the cost rises and stays the same, then rises again and stays the same. So, it is not a linear graph because the cost of the milk is not going up at a constant rate.

Please help, I’ll mark your answer as brainliest!

Answers

Answer:

Length :

12

feet

Width :

10

feet

Explanation:

Let the length of the garden be

x

feet.

Therefore, the breadth or width of the garden is

(

x

2

)

feet.

So, According to the problem,

x

(

x

2

)

=

120

x

2

2

x

=

120

x

2

2

x

120

=

0

[Transposing 120 to the L.H.S]

x

2

+

10

x

12

x

120

=

0

[Breaking

2

x

as

10

x

12

x

]

x

(

x

+

10

)

12

(

x

+

10

)

=

0

[Taking the like terms aside]

(

x

+

10

)

(

x

12

)

=

0

[Completing the factorisation]

We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.

So, Either

x

+

10

=

0

or

x

12

=

0

So,

x

=

10

or

12

As

x

indicates length,

x

can't be negative.

So,

x

=

12

.

So, The length of the garden is

12

feet and the width of the garden is

(

12

2

)

feet =

10

feet.

Step-by-step explanation:

plz mark me as a brainliest

what quadrant is 4,6 in?

Answers

Answer:

1st quadrant

Please do help.Thanks :)​

Answers

There your answer hope it help you

Find the unknown value in each proportion. Round to the nearest tenth if needed.

[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]

Answers

Answer:

4/5=16/20

4/3=4/3 or 1 1/3

3/7=0.42857

13/15=0.86666

Step-by-step explanation:

i dont know

if i did that right but your welcome

matt is planting grass in the yard. He has planted 1/8 of his seeds in 1/4 an hour. How long will it take him to plant all of his seeds.

Answers

Answer:

1/8 x 1/4=18

Step-by-step explanation:

I think it times

−1.2x+2.5=0.8x+6.5

Solve for x

Answers

Answer:

x = -2

Step-by-step explanation:

It's a matter of rearranging the equation to make x the subject. Simple arithmetic.

Original equation:

-1.2x + 2.5 = 0.8x + 6.5

Start moving constants with variables to left, and constants without variables to right:

-1.2x - 0.8x + 2.5 = 6.5

-1.2x - 0.8x = 6.5 - 2.5

Collect like terms

-2x = 6.5 - 2.5

-2x = 4

Divide both sides by -2 to make x the subject

x = 4/-2

x = -2

Answer: x = - 2.0

Step-by-step explanation:

We can find x by making it the subject of the equation and simplifying:

   

     −1.2x+2.5=0.8x+6.5      [group like terms across the equal sign]

      -1.2x - 0.8x = 6.5 - 2.5     [simplify]

              - 2.0x = 4                 [divide both sides by -2.0]

                     x = -2.0

Check:

 −1.2(-2.0)+2.5  =  0.8(-2.0)+6.5

                4.9   =   4.9 ✅

Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)

Answers

Answer:

15) Slope (m) = -7/5

16) Slope (m) = 0

17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)

Step-by-step explanation:

Use this formula for each, to find slope⤵⤵⤵

[tex] \frac{y {2} - y1}{x2 - x1} [/tex]

15) ⤵

[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]

16) ⤵

[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]

17) ⤵

[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]

Hope this helps :)

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