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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]

Answer:

[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]

Step-by-step explanation:

2x = -3

divide 2 from both sides

[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]

Answer:

x=-1.5

Step-by-step explanation:

1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2

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:

Answer:

119

Step-by-step explanation:

Answer:

look at the photo...............

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

Answer:

1.001e+17

Step-by-step explanation:

Awnser: Hi, tour awnser is Congruent

ITS ABOUT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS

Answer:

b

Step-by-step explanation:

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;

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

Answer:

see below

Step-by-step explanation:

x^2-x=42

Check the solutions

6^2 -6 = 42

36-6 =42

30=42

This is not true so 6 is not a solution

Let's find the solutions

Subtract 42 from each side

x^2-x-42=0

Factor

(x-7)(x+6) =0

Using the zero product property

x-7 =0   x+6=0

x=7   x=-6

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 :)

Answer:

t:  -1.80244705, 0.100001, 1.75234772

2

Rearrange terms

3

Subtract

6

6

6

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

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:

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Answer:

b. 10a³ - 11a - 3

Step-by-step explanation:

1. Expand 3(a³ - 2a - 5)

= 3a³ - 6a - 15

2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15

7a³ + 3a³ = 10a³

-5a + -6a = -11a

12 + -15 = -3

3. Answer: b. 10a³ - 11a - 3

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

To learn more, refer https://brainly.com/question/6499165?referrer=searchResults

Answer:

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

Step-by-step explanation:

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 ✅

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

Answer:

Should be!!! i remember taking that quiz but i dont really remember

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.

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

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The values are :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The equation of the given line is :

aand general equation of a line is :

where,

now, by equating both the equations we get :