Answer:
y = -1/2x + 1
Step-by-step explanation:
Step 1: Find slope
m = (2-4)/(-2+6) = 1/2
Step 2: Find y-intercept
y = -1/2x + b
2 = -1/2(-2) + b
2 = 1 + b
b = 1
Step 3: Write it all together
y = -1/2x + 1
And we have our final answer!
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
The A) ΔABC ≅ ΔEDC
Step-by-step explanation:
The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.
As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.
Answer:
A) triangle ABC is congruent to triangle EDC
Step-by-step explanation:
The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Let's see what we have in this problem:
<ACB and <ECD are congruent since they are vertical angles.
<A and <E are congruent by given.
Sides AB and ED are non-included sides and are congruent.
Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.
Now we need the statement of congruence.
Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.
Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.
We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.
Answer: A) triangle ABC is congruent to triangle EDC
What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)
Answer:
y = -2 x +3
Step-by-step explanation:
If the slope must be "-2", then the slope intercept form of the line should look like;
y = m x + b
with the slope "m" = -2
That is:
y = -2 x + b
Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":
3 = -2 (0) + b
3 = b
Then the equation becomes:
y = -2 x +3
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
I NEED HELP NOW PLS ASAP
Answer:
Step-by-step explanation:
hello,
I understand that there are only 4 cards and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards
How many ways can you draw two cards?
as the first card is replaced, this is 4*4=16
so there is 16 possibles ways
hearts hearts
hearts clubs
hearts diamonds
hearts spades
clubs hearts
clubs clubs
clubs diamonds
clubs spades
diamonds hearts
diamonds clubs
diamonds diamonds
diamonds spades
spades hearts
spades clubs
spades diamonds
spades spades
out of these 16 ways, how many have same colour for both cards?
I assume that there are only two colours Red and Black, so we can have
only 8 ways so the first probability is 8/16 = 1/2
out of these 16 ways, how many are red ace first and black ace?
There are 4 ways so the probability is 4/16 = 1/4
hope this helps
Standard deck has aces in four colors
Player draws one from four so the probability of drawing any first card is 1/4 (in the first drawing)
We replace the card so in second drowing its the same
So the probability of drawing two card of one chosen color is 1/4*1/4, and we have four colors
The probability of drawing two card of the same color is:
1/4*1/4*4 = 1/4There are 2 red aces and 2 black aces
(sorry for coments - not reading carefully)
So a probability of drawing red ace in first drawing is 2/4=1/2
a probability of drawing black ace in second drowing is the same ('cause we replace the one drawn first)
So the probability that a red ace is drawn first and then the black ace is:
1/2*1/2 = 1/43 3/7 divided by 6 2/5
Answer:
15/28
Step-by-step explanation:
3 3/7 ÷ 6 2/5
Change to improper fractions
(7*3+3)/7 ÷ (5*6+2)/5
24/7 ÷32/5
Copy dot flip
24/7 * 5/32
Cancel an 8 from the numerator and denominator
3/7 * 5/4
15/28
Answer: 15/28
Explanation: First write each mixed number as an improper fraction.
As a quick review, to write a mixed number as an improper fraction,
we multiply the denominator times the whole number,
then we add the numerator.
First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.
So we have 24/7 ÷ 32/5.
Dividing by a fraction is the same as multiplying by its reciprocal.
In other words, we can change the division
sign to multiplication and flip the second fraction.
So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.
Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.
So we have 3/7 × 5/4 which is 15/28.
Slide the green dot from 0 to plot the number at the correct
location
Pablo owes his sister $9. His sister Nina owes their
mother three times that amount. What number on the
number line represents Nina's debt?
Plot 9
9
?
-30 -27 -24 21 -18 -15 -12 -9
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
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How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.
Answer:
25.12
Step-by-step explanation:
round pi to first 2 digits after decimal point.
3.14 x 8 =25.12
If ABCD is a rectangle, and ABD=55, what is the value of X?
Answer:
x= 70
Step-by-step explanation:
This question needs an attachment; see attached
Given
ABD = 55
Required
Find x?
In the figure shown in the attachment, angle b and ABD are alternate interior angles;
From parallel and perpendicular line theorems; alternate interior angles are equal.
This implies that <b = 55
Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;
where 2 sides and 2 angles are equal;
This implies that <b = <c = 55
Sum of angles in a triangle = 180;
So,
<x + <b + <c = 55
x + 55 + 55 = 180
x + 110 = 180
Subtract 110 from both sides
x + 110 - 110 = 180 - 110
x = 180 - 110
x = 70
Easy Cooking to a cooking supply company Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens than that
How many ovens did they sell this year?
Answer:
20,951
Step-by-step explanation:
If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.
21,000-49 = 20,951
therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.
Answer:
20,951 ovens
Step-by-step explanation:
Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.
Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)
21,000-49
20,951
The company sold 20,951 ovens this year.
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 5 EndRoot mi
3 StartRoot 5 EndRoot mi
15 StartRoot 5 EndRoot mi
45 StartRoot 5 EndRoot mi
Answer:
The answer is 3√5 mi.
The formula is: d = √(3h/2)
Wyatt:
h = 120 ft
d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi
Shawn:
h = 270 ft
d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi
How much farther can Shawn see to the horizon?
Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi
Answer:
its b
Step-by-step explanation:
i just did it
Which of the following is a radical equation?
X+ V5 = 12
x² = 16
3+ x^7=13
7-14
A card is drawn one at a time from a
well-shuffled deck of 52 cards. In 11
repetitions of this experiment, 2 kings
are drawn. If E is the event in which a
king is drawn in the 11 trials, find the
experimental probability P(E).
P(E) = 11
Enter
Answer:
[tex]\dfrac{2}{11}[/tex]
Step-by-step explanation:
It is given that a card is drawn one at a time from a well-shuffled deck of 52 cards.
Total repetitions of this experiment = 11
Number of kings in the experiment = 2
Let E is the event in which a king is drawn in the 11 trials. So
[tex]P(E)=\dfrac{\text{Number of kings in the experiment}}{\text{Total repetitions of this experiment}}[/tex]
[tex]P(E)=\dfrac{2}{11}[/tex]
Therefore, the experimental probability P(E) is [tex]\dfrac{2}{11}[/tex].
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
Multiply. 6.421 x 10 = _____ 0.6421 64.21 642.10 6,421
Answer:
64.21
Step-by-step explanation:
After performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.
What exactly are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, 6.421 x 10 = ?:
Evaluate as follows:
6.421 x 1064.21Therefore, after performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.
Know more about mathematical operations here:
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The correct question is given below:
Multiply. 6.421 x 10 = _____
A. 0.6421
B. 64.21
C. 642.10
D. 6,421
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
PLEASEEE HELPPPPPPPjjsek
Answer:
1.777777778
Step-by-step explanation:
hope that helps!
Answer:
16/9 or 1 2/9
Step-by-step explanation:
the fraction bar means divison
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
what value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?
A) 24
B) 48
C) 12
D) 144
Answer:
D
Step-by-step explanation:
Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.
Answer:
Answer D
Step-by-step explanation:
Take half of the coefficient of x: Take half of +24, obtaining 12. Now square this 12, obtaining 144. This is the desired value. Answer D is correct.
The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?
1.) 2600
2.) 234
3.) 260
4.) 2106
Answer:
Correct option: 1) 2600
Step-by-step explanation:
The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Correct option: 1)
Answer:
1.) 2,600
Step-by-step explanation:
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer:
The first one!
Step-by-step explanation:
the others don't work since there could be more possibilitys than just b and c.
D is just wrong (as you creati)
I seriously cited the sources you fool>;/
plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!
3. A team of eye surgeons has developed a new technique for a risky eye operation to restore the
sight of people blinded from a particular disease. Under the old method only 30% of the patients
recover their eyesight. Surgeons at various hospitals have performed 225 operations using the
new method and in 88 the patients recovered their eyesight. Using a 01 level of significance, is
there evidence that the new method is better than the old one? (30 points)
Answer:
Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.
You cna show this as workings to prove or follow any of the below statements.
Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find = 62.5 and it's 30% standing value of 67.5 as +1% increase shows us 31% = 69.7 ( 0.31 x 225 = 69.74)
Step-by-step explanation:
88/225 = 0.39111111111 = 39.11%%
P value 01 = 1% = 225.225 or 5% range of alternative hypotheses.
To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.
We can then show 225.225 - Ha or H1 then graph the probability of obtaining a sample mean that is at least extreme in both tails Ha or H1
However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%
We prove that 30-1 =29 where 29% of 225 = 225 x 0.29 = 65.25
this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88
This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .
We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.
34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1
Where as shown
30 = 0.3 x 225 = 67.5
76.5475 - 67.5 = 9.04 difference when comparing old method = +1%
where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5 as +1% and 31% = 69.7 ( 0.31 x 225 = 69.74)
You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%
NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240; 24
Step-by-step explanation:
Given that:
Sum of two numbers = 264
One number ends with '0'
Second number = first number without '0'
Let the first number be 'a'
Since the second number is the first number with '0' erased, then,
Second number = (a ÷ 10)
Therefore, the expression becomes :
a + a/10 = 264
Multiply the equation by 10
10a + a = 2640
11a = 2640
a = 2640/11
a = 240
Therefore ;
a = 240 ;
a/10 = 240/10 = 24
The numbers are 240 and 24
Simplify $\frac{1+\sqrt{2}}{2+\sqrt{3}}$. Your solution can be converted to the form $A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$, where $A$, $B$, $C$, and $D$ are positive integers. What is $A+B+C+D$?
Answer:
A+B+C+D = 13
Step-by-step explanation:
The given expression is:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]
We have to simply it and express it in the form of:
[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:
[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]
It is the simplified form of given expression.
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]
[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]
So, value of
[tex]A+B+C+D = 2+2+3+6 = 13[/tex]