[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]
Answers
Answer:
[tex]\frac{(a+b)}{a^{2} -b^{2} }[/tex] + [tex]\frac{(a-b)}{a^{2} -b^{2} }[/tex] = [tex]\frac{2a}{a^{2} -b^{2} }[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]
[tex]thank \: you[/tex]
![[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/RJB9Ch6H3K3LD4g0rN89uvcj4gczoYcJ.jpeg)
Related Questions
HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?
Answers
The possible value of the other number will be 7√32. The correct option is D.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
It is given that the first number is 3√2 the value of the second number will be:-
Rational number = 3√2 x 7√32
Rational number = 21√64
Rational number = 21√( 8 x 8 )
Rational number = 21 x 8
Rational number = 168
Therefore, the possible value of the other number will be 7√32. The correct option is D.
To know more about rational numbers follow
https://brainly.com/question/12088221
#SPJ2
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answers
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5can someone help me with this question?
Answers
Answer:
128 grains.
I think so..
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
Answer:
Step-by-step explanation:
[tex]u_1=1=2^0\\u_2=2=2^1\\u_3=4=2^2\\u_4=8=2^3\\\\...\\u_{64}=2^{63}\\\\we\ must\ calculate\\\\u_1+u_2+u_3+u_4+...+u_{64}\\\\=1+2^1+2^2+2^3+2^4+....+2^{63}\\\\=\dfrac{2^{64}-1}{2-1} \\\\=2^{64}-1\\\\=18446744073709551615\\\\=1.8446744073709551615*10^{19}[/tex]
c) Convert 120 into quinary equivalent.
Answers
Assuming 120 is a base 10 numeral, then
120 = 100 + 20 = 4×5² + 4×5¹
so you have
120₁₀ = 440₅
PLEASE HELP!!!!!
Need hELP ASAP
Answers
Answer:
bro please help me make me brianliest I think c
Which of the following is true ?
Select one:
O a. 70<7-3
O b. 4-5<4-3
O c. 5-2 <5-3
O d. 25223
Answers
Answer:
b. 4 - 5 < 4 - 3
Step-by-step explanation:
a. 70 < 7 - 3
70 < 4
false, 70 is not greater than 4
b. 4 - 5 < 4 - 3
- 1 < 1
true, 1 is greater than -1
c. 5 - 2 < 5 -3
3 < 2
false, 2 is not greater than 3
d. 25223
?
hope this helps! if you have any questions, let me know!
2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answers
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
Plz help me answer this question
Answers
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.
Step-by-step explanation:
[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]
I have two ice cream and I - 5 ice creams how many ice cream will be left
Answers
Answer:
2 1/5
Step-by-step explanation:
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answers
Answer:
[tex]x+17[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The sum of a number and seventeen
⇒ [tex]x+17[/tex]
I hope this helps!
Subtract.
5/23 - 4/23
(Type an integer or fraction.)
Answers
Answer:
1/23
Step-by-step explanation:
5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.
Calculate the area of each figure.
(PLS HELP )
Answers
Then u calculate the rectangle part L x B which is 10 x 17 = ? Then when you have the ans already, add them!
If I start at 6:05 and end at 3:30. How much time is that.
Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?
Answers
Answer:
The answer is 9 hours and 25 minutes
Step-by-step explanation:
if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes
hope that helps>3
help me find x
help please
Answers
Answer:
[tex]4\sqrt{6}[/tex]
[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]
Step-by-step explanation:
Explanation:
Sin(theta) = opp/hyp => hyp = opp/sin(theta)
Find opp:
opp = sqrt(6^2 + 6^2)
= sqrt(72)
= 6sqrt(2)
= 6 x 1.41
Hyp(also is x) = (6 x 1.41)/Sin(60°)
= (6 x 1.41 )/0.86
= 9.83
= 10 (round up)
And 4sqrt(6) = 9.79 = 10 (round up)
Thus I concluded that x = 4sqrt(6)
I need help from big brain
Answers
Answer:
[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.
I hope this helps :). If you have any questions let me know. Have a good day.
Vertical Stretch of 7, up 8, reflect over the x axis???
Answers
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
8a=4(a-9)
Show work I need help
Answers
Answer:
a = -9
Step-by-step explanation:
8a=4(a-9)
Divide each side by 4
8a/4=4(a-9)/4
2a = a-9
Subtract a from each side
2a-a = a-9-a
a = -9
Answer:
-9
Step-by-step explanation:
8a = 4(a-9)
Use the distributive property (Multiply 4 times a, and 4 times -9)
8a = 4a - 36
Bring the 4a to the other side
8a - 4a = -36
Add like terms
4a = -36
Divide both sides by 4 to get a by itself
a = -9
Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?
Answers
Answer:
Lamar's next step is x^2 — 12x + 6 = 0
The solution to the equation is x = ± 6√30
Step-by-step explanation:
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a. What is the area of the pool cover?
b. What is the length of the rope?
You must show all of your work to receive credit
Answers
Answer:
The cover has diameter of:
20 feet + 2*12 inches = 20 feet + 2 feet = 22 feeta.
Area of the pool cover:
A = πd²/4 = 3.14*22²/4 = 379.94 ft²b.
The length of the rope:
C = πd = 3.14*22 = 69.08 ftAnswer:
346.19ft65.94ftStep-by-step explanation:
Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.
20 + 2 = 22ft
Part A:
The formula for the area of a circle is πr².
To find the radius just divide by two; 22 / 2 = 11ft
= π(11)²
= 121π
≈ 379.94ft
Part B:
We can use the circumference formula [ dπ ] to find how long the rope is.
= 22(3.14)
= 69.08ft
Best of Luck!
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
Answer:
Submit Answer
attestato
PLSSS HELP ASAP
Answers
Find the smallest number that must be added to 7653 to make it a perfect square? Explain.
Answers
9514 1404 393
Answer:
91
Step-by-step explanation:
√7653 is about 87.48
The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...
7744 -7653 = 91
Adding 91 to 7653 will make it a perfect square.
I am the only toolkit function that has a start and end number for the range. I am also the only that is cyclic, meaning I repeat over and over.
Which toolkit function am I?
Answers
The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )
There are about (9) toolkit functions and some of these toolkit functions :
Constant function Cube root function Square root functionreciprocal squared functionreciprocal functioncubic and quadratic function Absolute value functionThe common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well. while the only Toolkit function with a defined range is the Constant function { a, a }
The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.
Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.
Learn more : https://brainly.com/question/17348165
Answer:
The constant Function
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answers
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches
Answers
Answer:
5
Step-by-step explanation:
Solution is 8 in
Let´s call dimensions of the box
x the length of the boxy the width of the box andh the height of the boxAccording to the problem statement
y = x + 3 and h = 4 in
The volume of the box is:
V = x×y×h V = 360 in³
Then V = x × ( x + 3 ) × 4 ( by substitution of y as a function of x )
360 = x × ( x + 3 ) × 4
Simplifying by 4
90 = x × ( x + 3 )
90 = x² + 3x
We got a second degree equation, solving for x
x² + 3×x - 90 = 0
x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2 ⇒ x₁,₂ = ( - 3 ± 19,21 )/2
x₁ ⇒ is a negative value x = - 11,1 so we dismiss such solution
x₂ = 16.21/2
x₂ = 8.1 in
rounding to the nearest integer number we get the value for the length f the box
x₂ = 8 in ⇒ x = 8 in
Note: In Brainly.com in search bar ask for cube dimensions
Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answers
Answer:
The answer would be A
Step-by-step explanation:
Is 9.5 an irrational number
Answers
Answer:
yes it is.....................
Step-by-step explanation:
9.5 = 19/2
So it is a rational number (and so is not irrational)
Find the circumference of a circle if the area of the circle is 256 π in².
Answers
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
9/x + 2 = 20
WAHT IN THE WORLD? HOWWWW?!
Answers
Answer:
1/2 =x
Step-by-step explanation:
9/x + 2 = 20
Subtract 2 from each side
9/x + 2-2 = 20-2
9/x =18
Multiply each side by x
9/x *x = 18*x
9 = 18x
Divide each side by 18
9/18 = 18x/18
1/2 =x
Last question pls help then i will give away al points pls help.
Answers
Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2
bronze click per second is 9.5 38/4
crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently
clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2
emeralds time is 0.40 3/.40 or 3/0.40
clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
Answers
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
