Answer:
{4, - 1}
Step-by-step explanation:
Given
2y² - 6y - 8 = 0 ← in standard form
with a = 2, b = - 6, c = - 8
Using the quadratic formula to solve for y
y = ( - (- 6) ± [tex]\sqrt{(-6)^2-(4(2)(-8)}[/tex] ) / (2 × 2)
= ( 6 ± [tex]\sqrt{36+64}[/tex] ) / 4
= ( 6 ± [tex]\sqrt{100}[/tex] ) / 4
= ( 6 ± 10 ) / 4
x = [tex]\frac{6+10}{4}[/tex] = [tex]\frac{16}{4}[/tex] = 4
OR
x = [tex]\frac{6-10}{4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
Solution is { 4, - 1 }
Given the geometric sequence where a1=1 and the common ratio is 6 what is the domain for n
Answer:
Domain: [tex]n\ge1[/tex]
Step-by-step explanation:
For a geometric sequence, the n-th term is given by:
[tex]a_n=a_1r^{n-1}[/tex]
From the question, [tex]a_1=1[/tex] and [tex]r=6[/tex].
Hence the explicit formula for the sequence is:
[tex]a_n=6^{n-1}[/tex], where [tex]n\ge1[/tex]
Therefore the domain is natural numbers or positive integers.
simplify to create an equivalent expression.
−4(−11+4n)−3(−2n+9)
To simplify the expression −4(−11+4n)−3(−2n+9), you distribute the multiplication and then combine like terms to get the equivalent expression +17−10n.
Explanation:The student has asked to simplify the expression −4(−11+4n)−3(−2n+9). To simplify this expression, we need to distribute the numbers outside the parentheses across the terms inside the parentheses. We'll do this step by step.
Multiply −4 by −11 to get +44.Multiply −4 by +4n to get −16n.Multiply −3 by −2n to get +6n.Multiply −3 by +9 to get −27.Now combine like terms:
Add +44 and −27 to get +17.Add −16n and +6n to get −10n.So, the simplified equivalent expression is +17−10n.
the simplified and equivalent expression is 17 - 10n.
We need to simplify the expression:
[tex]-4(-11+4n)-3(-2n+9)[/tex]
To do this we need to open the brackets which gives us:
[tex]-4(-11+4n)-3(-2n+9) = 44 -16n + 6n -27[/tex]
Now we can solve the expression as follows:
[tex]-4(-11+4n)-3(-2n+9) = (44 - 27) + (-16n + 6n)\\\\ -4(-11+4n)-3(-2n+9) =17 - 10n[/tex]
So, the simplified and equivalent expression is 17 - 10n.
Solve and Explain.
(please!)
Answer:
x = 8.5
L = 17
W = 6.5
Step-by-step explanation:
P = 2*(L + W)
W = x - 2
L = 2x
P = 47
47 = 2 * (2x + x - 2)
47 = 2 * (3x - 2) Remove the brackets.
47 = 6x - 4 Add 4 to both sides.
47 + 4 = 6x - 4+4 Combine
51 = 6x Divide by 6
6x/6=51/6 Combine
x = 8 3/6 or 8.5
x = 8.5
========
L = 2*x
L = 2*8.5
L = 17
=====
W = x - 2
W = 8.5 - 2
W = 6.5
Answer:
x=8.5, length is 17, and width is 6.5
Step-by-step explanation:
To solve for x, you would add the two sides together, getting x-2+2x+3x-2. Now, you would multiply this figure by two, because you only have half of the perimeter as of now. (3x-2)*2+6x-4. Now, because the perimeter is 47, you have this equation
6x-4=47
Add four to both sides
6x=51
Divide by 6
x=51/6=8.5
Now, you would plug this into both of the other sides of the rectangle.
The length, or the longest side, measures 2x
2*8.5=17
The width, or the shorter side, measures x-2
8.5-2=6.5
Hope this helped
<Q and <R are complementary angles. If m<Q = (31 - 3x)° and m<R = (19x - 5)°, find m<R
31-3x+19x-5=90
26+16x=90
-26 -26
--------------------
16x= 64
16x/16= 64/16
x=4
m <R=19 (4)-5= 71.
Answer:
Step-by-step explanation:
90=(31-3x)+(19x-5)
90=31-3x+19x-590=19x-3x+31-5
90=16x+26
90-26=17x
64=4x
x=4
m∠R=19(4)-5
m∠R=76-5
m∠R=71
Micah made a scale model of the Empire State building.The building has an actual height of 381 meters. Micah’s model used a scale in which 1 cm represents 50 meters. what is the height in centimeters of Micahs model?
Answer:
Answer
3.0/5
8
1cm = 50
2 cm = 50 x 2
3cm = 50 x 3
and the inverse:50m = 50/50 = 1cm
100m = 100/50 = 2cm
150m = 150/50 = 3cm
381m = 381/
The height in centimeters of Micah's model given the scale of the drawing is 7.62cm
What is the height?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = original dimensions / dimensions of the scale drawing
The height of the model = 381 / 50 = 7,62cm
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find the sales tax only. $199.95 ipod; 9% tax
the sales tax is close to 217.94
Answer:17.9955
Step-by-step explanation:
199.95 * 0.09 = 17.9955
when ever you want to work out a % just multiple it by the % in decimal ie 10% = 0.1, 100% = 1.0, 9% =0.09
OR
if you want to work out what 9% is added on top of the price to total 199.95 you can you this
A1= gross amount
B1 = tax percentage
(A1/(100+B1)*100) = 183.440367 before the tax is added so the total tax at 9% = 16.509633
Which expression means 2 less than a number? p + 2 p – 2 2 × p 2 ÷ p
Answer:
p - 2
Step-by-step explanation:
"2 less than a number" would be n - 2. "Less than" implies subtraction. We are subtracting 2 from the unknown number n.
Answer:
p-2
Step-by-step explanation:
Find the value of the combination. 16c14 HELP
Answer:
120
Step-by-step explanation:
We need the formula of combination:
nCr = [tex]\frac{n!}{(n-r)!*r!}[/tex]
Also we need to understand "factorial" notation, which is the "!" mark. For example, 5! means 5 * 4 * 3 * 2 * 1, and
4! would mean 4 * 3 * 2 * 1
Now we can find out 16C14 by plugging it into the formula and doing the steps shown below:
[tex]nCr=\frac{n!}{(n-r)!*r!}\\16C14=\frac{16!}{(16-14)!*14!}\\=\frac{16!}{2!*14!}\\=\frac{16*15*14!}{(2*1)*14!}\\=\frac{16*15}{2}\\=120[/tex]
How do I find the Circumference?
2* radius* pie
Step-by-step explanation:
first you times 2 by the radius, then you times that answer by 3.14.
hoped this helped a little
What is the ratio of books to pencils?
Answer:
A. 4/7
Step-by-step explanation:
If Susie has a bag with 9 hairpins, 7 pencils, 2 snacks, and 4 books, the ratio of books to pencils is 4/7 or 4:7.
4 books.
7 pencils.
You could combine the 4 and 7 getting, 4/7 or 4:7
Even though, there are more numbers, the question only asked for the ratio of books to pencils.
What’s the circumference of this shape?xx
The hypotenuse of the triangle would be the diameter of the semi circle.
Using the Pythagorean theorem you can find that.
8^2 + 6^2 = x^2
64 +36 = x^2
100 = x^2
x = √100
x = 10
The diameter is 10, now find the circumference.
Circumference = diameter x PI = 10 x 3.14 = 31.4
Since it is a semi circle, the circumference would be 1/2 of that.
31.4 / 2 = 15.7
The perimeter would be 8 + 6 + 15.7 = 29.7
two boxes contain the following pieces of chalk of the same size. 2 red, 1 yellow, 4 green, 3 white, and 2 blue pieces. If one piece of chalk will be randomly selected from each box, what is the probability that both pieces will be white? A.) 1/16 B.) 1/22 C.) 1/4 D.) 1/36
Answer:
1/4 would be your answer
Step-by-step explanation:
There are four other pieces (I think)
Answer:
Option A. [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Two boxes contains the following pieces of chalk of the same size.
Red = 2
Yellow = 1
Green = 4
White = 3
Blue = 2
Each box contains = 2 + 1 + 4 + 3 + 2 = 12 pieces of chalk of the same size.
There are total pieces of chalks are 12 and white chalks are 3 in each box.
If one piece of chalk will be randomly selected from each box.
The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]
The probability of second box = [tex]P_{2}=\frac{3}{12}[/tex]
Therefore, P = [tex]p_{1}[/tex] × [tex]p_{2}[/tex]
P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]
P = [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]
P = [tex]\frac{1}{16}[/tex]
The probability that both pieces will be white is [tex]\frac{1}{16}[/tex] .
How do I rewrite this in vertex form?
Y=2x^2-8x+9
Complete the square on the right side of the equation
2(x-2)^2+1
a movie theater has 18 rows with 15 seats each how many seats does the theater have
The answer is : 270 seats
Multiply 18*15
18*15
=270
Answer: 270 seats
Help please, what’s: 5x-7+2-2x=-26
Answer:
7
Let's solve your equation step-by-step.
5x−7+2−2x=−26
Step 1: Simplify both sides of the equation.
5x−7+2−2x=−26
5x+−7+2+−2x=−26
(5x+−2x)+(−7+2)=−26(Combine Like Terms)
3x+−5=−26
3x−5=−26
Step 2: Add 5 to both sides.
3x−5+5=−26+5
3x=−21
Step 3: Divide both sides by 3.
3x
3
=
−21
3
x=−7
Answer:
x=−7
Answer:
the solution is x = -7
Step-by-step explanation:
Collect terms:
x(5 -2) +(-7 +2) = -26
3x -5 = -26
Add 5 to get the variable term by itself:
3x = -21
Divide by the coefficient of the variable:
x = -7
____
The answer to, "what is it?" is that it is a linear equation in x. After you collect terms, it is what is referred to as a "two-step" linear equation, because it takes two steps to solve it: add 5, divide by 3.
The perimeter of a regular pentagon with the side length of 4 meters
Answer:
20 Meters
Step-by-step explanation:
5 Sides a Pentagon has - with a length at 4 meters per side you have a perimeter of 20 meters.
what is the answer??
Answer:
[tex]d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
Step-by-step explanation:
We need to find the distance between the points P=(-2,3) and D(2,-2)
The formula used to find distance between points is:
[tex]d(P,D)= \sqrt{(x2-x1)^2 + (y2-y1)^2)}[/tex]
Here, x2 =2 and x1 = -2, y2=-2 and y1= 3
Putting values in formula
[tex]d(P,D)= \sqrt{(2-(-2))^2 + (-2-3)^2}\\d(P,D)= \sqrt{(2+2)^2 + (-2-3)^2}\\d(P,D)= \sqrt{(4)^2 + (-5)^2}\\d(P,D)= \sqrt{16 + 25}\\d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).
Darius is making a pyramid out of solid zinc. The pyramid has a square base 6 inches on each side, and a height of 2.5 inches.
How many pounds of zinc does he need?
DO NOT ROUND FINAL ANSWER!!!
Why don’t you round the last answer
For this case, we have that by definition:
ρ = [tex]\frac {M} {V}[/tex]
Where:
ro: Density
M: Mass
V: Volume
We find the volume of the pyramid:
[tex]V = \frac {1} {3} * l ^ 2 * h[/tex]
Where:
[tex]l ^ 2[/tex]: Represents the area of the base of the square pyramid
h: Represents the height
So:
[tex]V = \frac {1} {3} * (6) ^ 2 * 2.5\\V = \frac {1} {3} * 36 * 2.5\\V = 30 \ in ^ 3[/tex]
We have to:
M = ρ* V
[tex]M = 0.258 \frac {lb} {in ^ 3} * 30 \ in ^ 3\\M = 7.74 \ lb[/tex]
So, you need 7.74 pounds of zinc
Answer:
7.74 pounds
A survey showed that 70% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 students, predict how many would select roller coasters as their favorite ride?
Answer:
3,500
Step-by-step explanation:
70% is equal to 0.70.
When you need to find a percent of a population, you multiply the decimal form to the population.
Therefore, with 70% of 5000, you multuiply 5000 by 0.70 which will give you 3500.
3,500 students would select roller coasters as their favorite ride.
The answer to this question would be 3,500 students.
what is the area of a sector when theta = 15º and r = 4
Answer:
2.09 sq. units
Step-by-step explanation:
We can simply use the formula for area of a sector of a circle.
Area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where [tex]\theta[/tex] is the angle and r is the radius.
It is given that the angle is 15 and radius is 4. We plug them in and find the area:
[tex]\frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09[/tex]
Thus area of sector is 2.09 sq. units.
Answer:
2pi/6
Step-by-step explanation:
If you convert the degrees to radians (15 degrees theta) you get:
15/1 * pi/180 --> =15pi/180 then you multiply by the radius --> 15pi/180 *4/1
this gives you 60pi/180 (don't forget to reduce) =2pi/6
(Sorry this is so confusingly written out. I wish I could have just shown you on paper but just remember that all of the "/" mean a fraction! :) )
melissa and angie baked 15 pies for the bake sale on Pi day and were suprised when they sold every piece for $2.25 each. If their ingredients were $15.24 for all pies and each pie was cut into six slices, How much profit did the girls make in the bake sale?
$18.51 would be the correct answer!
The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Is this model of the situation linear? If it is, what are the slope and the y-intercept?
A. linear: slope = 350, y-intercept = 700
B. linear: slope = 700, y-intercept = 350
C. linear: slope = 2, y-intercept = 350
D. not linear
A linear equation is an equation in which each term has at max one degree. The correct option is B.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Since the equation is in the form of a linear equation it can be concluded that the model is linear.
Comparing the equation with a linear equation,
t = 350 + 700m
y = C + mx
The slope of the equation is 700, while the y-intercept is 300.
Hence, the correct option is B.
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What is the value of pie and how can I round it to the nearest tenth
The Value of Pi is actually an infinite number and cannot be calculated. It is not a real number. Usually many just shorten Pi to the decimal 3.14, which it is most commonly used as since there is no exact decimal of Pi.
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398315019701651511685171437657618351556508849099898599823873455283316355076479185358932261854896321329330898570642046752590709154814165498594616371802709819943099244889575712828905923233260972997120844335732654893823911932597463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100449293215160842444859637669838952286847831235526582131449576857262433441893039686426243410773226978028073189154411010446823252716201052652272111660396
Pi is 3.14, and is an irrational number, meaning that it does not end and has no repetition of numbers in a row.
The area of the circle is calculated by multiplying pi by the radius.
3.14 * 10 = 314.16.
To round it to the nearest tenth, you must know whether the second decimal number is greater or less than 5. If it is 5 or greater, you round the first decimal up 1. If it is 4 or less, then you just remove the second decimal and keep the first one.
In this case, the answer would be approximately 314.2 because 6 is greater than 5, so you round up the 1 to a 2.
Which expression is the factorization of x2+10+21?
Answer:
(x + 3)(x + 7)
Step-by-step explanation:
Given
x² + 10x + 21
Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (+ 10)
The factors are + 3 and + 7, since
3 × 7 = 21 and 3 + 7 = 10, hence
x² + 10x + 21 = (x + 3)(x + 7)
volume of a cylinder with height of 7 and a radius of 3
Answer:
The volume of the cylinder is 63π or 197.9 units³
Step-by-step explanation:
* Lets revise how to find the volume of any cylinder
- The volume of the regular solid = area of the base × its height
- The cylinder has two circular bases
- The area of the circle = πr²
∴ The volume of the cylinder = πr² × its height
* Now lets take the dimensions of the cylinder from the problem
- The height of the cylinder is 7 units
- The radius of the cylinder is 3 units
∵ The volume of the cylinder = πr² × its height
∴ The volume = π × 3² × 7 = 63π = 197.9 units³
* The volume of the cylinder is 63π or 197.9 units³
Answer:
The volume of cylinder =197.82 units²
Step-by-step explanation:
Formula:-
Volume of cylinder = πr²h
Where r - Radius of cylinder and
h - Height of cylinder
To find the volume of cylinder
Here r = 3 units and h = 7 units
Volume = πr²h
= 3.14 * 3² * 7
= 3.14 * 9 * 7
= 197.82 units²
Therefore the volume of cylinder =197.82 units²
what is 10ft/30 inches simplified?
Answer:
4 inches.
Step-by-step explanation:
Convert 10ft in to inches
10 ft = 120 inches
So, 10ft/30inches =120inches/30 inches
120÷30=4
The requried, 10 ft / 30 inches simplified is 4
To simplify the expression 10 ft / 30 inches, we need to convert the units to a common format. We can convert both feet and inches to inches to make the division easier.
1 foot is equal to 12 inches. So, 10 feet can be written as 10 * 12 = 120 inches.
Now we have 120 inches / 30 inches, which simplifies to:
120 inches / 30 inches = 4.
Therefore, 10 ft / 30 inches simplified is 4.
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What is the answer to this question??????
Answer:
The answer is A. F(x)=(X+3)^4
Step-by-step explanation:
1. Whenever the function is in parenthesis, the symbol does the opposite then it usually does. So for (X+3)^4, the + in the parenthesis shifts the graph to the left instead of right.
2. Also, when in parenthesis, function shifts horizontally, not vertically. So answers B and C would shift the graph up and down, instead of left or right.
Please feel free to ask me if you have more questions or concerns with this problem!
Answer:
A. F(x) = (x+3)⁴Step-by-step explanation:
f(x) + n - shift the graph n unit up
f(x) - n - shift the graph n unit down
f(x + n) - shift the graph n unit to the left
f(x - n) - shift the graph n unit to the right
=======================================================
F(x) ← G(x) shifted 3 units to the left
F(x) = G(x + 3) → F(x) = (x+3)⁴
The temperature in Oslo was −20∘C at midday. At 4 pm, the temperature rose 3∘C, and then dropped 8∘C at 8 pm. Anyone Help me out? Because im not sure with with the rising by 3 degrees C part, because I think that it is - 20 + 3 which = -23 or -17 im not sure please help me out
You are on the right track: - 20 + 3 = - 17 but do not forget about "dropped 8°C"
-20 + 3= -17
You are correct.
Match the equation with its graph -4x + y = 8
Answer:
It will look like a graph with a slope of 4 and a y intercept of -8
Step-by-step explanation:
Just rearrange the variables
Answer:
Step-by-step explanation:
If the question mentions a graph, you'll need to share that graph.
Here's one good procedure for graphing -4x + y = 8:
Find the y-intercept: Let x = 0 and solve for y. We get (0, 8). Plot this.
Find the x-int. Let y = 0 and solve for x. We get (-2, 0). Plot this.
Then draw a straight line through these two points.
What is the simplest form 0f 2√2/√3-√2
Answer:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}=2\sqrt{6}+4[/tex]
Step-by-step explanation:
We have the expression:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]
To simplify the expression multiply by the conjugate of the denominator.
The denominator is
[tex]\sqrt{3}-\sqrt{2}[/tex]
Then its conjugate is:
[tex]\sqrt{3}+\sqrt{2}[/tex]
Then:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}*\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}\\\\=\frac{2\sqrt{2}\sqrt{3}+2\sqrt{2}\sqrt{2}}{(\sqrt{3})^2-(\sqrt{2})^2}\\\\\frac{2\sqrt{6}+4}{3-2}}\\\\= \frac{2\sqrt{6}+4}{1}}=2\sqrt{6}+4[/tex]
Answer:
[tex]4+2\sqrt{6}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex].
Now we need to simplify this. So multiply and divide by conjugate of denominator.
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]
[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}[/tex]
[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}\cdot\frac{\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}+\sqrt{2}\right)}[/tex]
[tex]=\frac{2\sqrt{6}+2\sqrt{4}}{\left(\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2}[/tex]
[tex]=\frac{2\sqrt{6}+2\cdot2}{3-2}[/tex]
[tex]=\frac{2\sqrt{6}+4}{1}[/tex]
[tex]=2\sqrt{6}+4[/tex]
[tex]=4+2\sqrt{6}[/tex]
Hence final answer is [tex]4+2\sqrt{6}[/tex].