anyone help me please
[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{ \sqrt{x + 1} - \sqrt{x - 1} }{( \sqrt{x + 1} + \sqrt{x - 1}) } [/tex]
Answers
[tex]\\ \rm\hookrightarrow \dfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}+\dfrac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}[/tex]
[tex]\sf Let\begin{cases}\sf \sqrt{x+1}=a \\ \sf \sqrt{x-1}=b\end{cases}[/tex]
Now
[tex]\\ \rm\hookrightarrow \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{\left\{(a+b)(a+b)\right\}+\left\{(a-b)(a-b)\right\}}{(a+b)(a-b)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{(a+b)^2+(a-b)^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{a^2+2ab+b^2+a^2-2ab+b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2a^2+2b^2}{a^2-b^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(a^2+b^2)}{a^2-b^2}[/tex]
Put values
[tex]\\ \rm\hookrightarrow \dfrac{2\left[(\sqrt{x+1})^2+(\sqrt{x-1})^2\right]}{(\sqrt{x+1})^2-(\sqrt{x-1})^2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{2(x+1)(x-1)}{(x+1)(x-1)}[/tex]
Take 2 common[tex]\\ \rm\hookrightarrow 2\left(\dfrac{(x+1)(x-1)}{(x+1)(x-1)}\right)[/tex]
[tex]\\ \rm\hookrightarrow 2(1)[/tex]
[tex]\\ \rm\hookrightarrow 2[/tex]
Answer:
it was helpful to you dear ❣️❣️❣️❣️❤️❤️❤️
![Anyone Help Me Please[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/5XzNUsezTcQtxGT9rHVLF9TcDPJBI1IX.jpeg)
Related Questions
Find the equation of the line passing through the points with the given coordinates. Make sure your final answer
is in slope-intercept form.
(0,-4), (2,3)
Answers
Answer:
y = 7/2x - 4
Step-by-step explanation:
7/2 is the slope and -4 is the y intercept
Reason:
Slope = (y2-y1)/(x2-x1) or (3 - (-4)) / (2-0) = 7/2
b = -4, since you have (0,-4) as the x-intercept.
Please help ASAP 17x - 4(4x - 3)
Answers
Step-by-step explanation:
17x-4(4x-4)
17x-16x+8
X+8
Answer:
x + 12
Step-by-step explanation:
17x - 4(4x - 3)
17x - 16x + 12
x + 12
Factor this polynomial expression.
x2 + 8x + 16
A. (x-8)(x - 2)
B. (x + 4)(x + 4)
C. (x+8)(x+2)
D. (x-4)(x - 4)
Answers
Answer:
I think (x+4) (x+4) is right answer.
Step-by-step explanation:
here,
x2+8x+16
=x2+(4+4)x+ 16
=x2+4x+4x+16
=x(x+4)+4(x+4)
=(x+4)(x+4) Ans
A rectangular sticker has an area of 30 sq cm and it perimeter is 26 cm. what are the dimensions of the sticker?
#small Information
I know the equations but the problem I am not understanding it.. can you give a easier equations or method or more explanation of every equation..
Will give brainliest!!
Thank you :)
Answers
Answer:
Dimensions are 3cm and 10cm.
Step-by-step explanation:
We can make two equations for this problem.
ab = 30
2a + 2b = 26
Isolate a in the first equation.
a = 30/b
Plug that into the second equation.
2(30/b) + 2b = 26
2b^2 + 60 = 26b
2b^2 - 26b + 60 = 0
2(b - 3)(b - 10) = 0
b - 3 = 0 and b - 10 = 0
b = 3, 10
Plug these values into the first equation.
a3 = 30
a = 10
a10 = 30
a = 3
Best of Luck!
Find the number if:
5/9 of it is 90.
And another similar question;
Find the number if:
7/3 of it is 5 5/6
I need help with both of these questions.
Answers
Answer:
162 and [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
To find the original number multiply by the reciprocal of the multiplier, that is
90 × [tex]\frac{9}{5}[/tex] = [tex]\frac{810}{5}[/tex] = 162
------------------------------------------------------------------------
Similarly
Change the mixed number into an improper fraction
5 [tex]\frac{5}{6}[/tex] = [tex]\frac{35}{6}[/tex] , then
[tex]\frac{35}{6}[/tex] × [tex]\frac{3}{7}[/tex] ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{1}[/tex]
= [tex]\frac{5}{2}[/tex]
Answer:
162
Step-by-step explanation:
If it is 5/9 of the original number is 90 we can just divide 90 by 5 to find 1/9 and then we can multiply that with 9 to get 9/9 which is the whole number.
90 ÷ 5 = 18
18 × 9 = 162
You have $20 to spend on two avocados.After buying them you had $16. How much did each avocado cost? A)$2 B)$10 C)$8 D)$3
Answers
Answer:
$2
Step-by-step explanation:
first you see the different between how much you started with and had left at the end. in this case its $4. since you're buying two avocados, half of the difference ($4) is for each avocado. $4 divided by 2 is 2, making eat avocado 2
Answer:
2
Step-by-step explanation: 20-16=4. Now, since you got 2 avocados you divide 4 by 2 which then equals 2. So, each avocado is 2 dollars. Hope this helps and have a great day! :D
Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Mean = Sum of data ÷ number of data set
[tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]
Median:
Arrange the data in ascending order:
2 , 3 , 3 , 4 , 7 , 9 , 15
Middle term is the median of the data set
Median = 4th term = 4
Mode:
Mode is the data whose is frequency is more.
So, mode = 3
Range = Maximum - minimum
= 15 - 2
= 13
what is the same as moving the decimal point 3 places to the left in a decimal number ?
1. Multiplying the number by 1,000
2. Dividing the number by 1,000
3. Multiplying the number by 100
4. Dividing the number by 100
Answers
Dividing the number by 1000
Explanation:
10,000 moved 3 decimal places to the left is 10
10,000 decided by 1,000 is 10
Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?
Answers
Steve buys last year's best-selling novel, in hardcover, for $22.50. This is with a 10% discount from the original price. What was the original price of the novel?
Answers
The original price of the novel is $25.
The summary are:
Steve bought the novel at $22.50 (including the discount)The discount given by the seller of the novel is 10%So, the original price will be computed as follows:
= $22.50 / (1 - 10%)
= $22.50 / 0.90
= $25
Therefore, the original price of the novel is $25.
See related question here
brainly.com/question/5264190
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?
Complete the steps to write the equation of direct variation.
Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.
Answers
Answer:
1.✔ -4 = k(8)8 = k(-4).
2.✔ -1/2.
3.✔ y = (-1/2)x.
Step-by-step explanation:
This is 100% right
What is the value of r?
Answers
308 = 9r + k >> k = -9r + 308
341 = 12r + k
341 = 12r - 9r + 308
341 = 3r + 308
33 = 3r
r = 11 :)
Write 4 2/5 as an improper fraction.
Answers
[tex]\\ \sf\longmapsto 4\dfrac{2}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5(4)+2}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{20+2}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22}{5}[/tex]
22/5
Explanation-
First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.
Working-
4×5=20
→ 20+2=22
→ 22
→ 22/5
Since the card has $0 minimum payments for the first 4 years it is active, Emma wonders how much it will cost her if she
doesn't pay off the $300 balance until after college. How much will she owe in 4 years?
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest dollar.
In 4 years, Emma will owe about $
Answers
Answer:
$544.61
Step-by-step explanation:
Edmentum
In 4 years, Emma will owe about $544.61 to the credit card company.
The model for Emma's debt in 4 years is given as:
FV = P(1+r/n)^nt,
where:
P = principal ($300)
r = the interest rate (15%)
t = the time in years (4 years)
n = the number of times the interest is compounded per year (12)
However, we can solve the problem with an online financial calculator as follows:
Data and Calculations:N (# of periods) = 48 (4 x 12 months)
I/Y (Interest per year) = 15%
PV (Present Value) = $300
PMT (Periodic Payment) = $0
P/Y (# of periods per year) = 12
C/Y (# of times interest compound per year) = 12
Results:
FV = $544.61
Total Interest = $244.61
Complete Question:Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card:
It has a 15% annual interest rate.The interest is compounded monthly.The card has $0 minimum payments for the first four years it is active.Thus, in 4 years, Emma will owe $544.61 to the credit card company.
Learn more about determining future value from present value at https://brainly.com/question/24703884
Help,please(ues tomorrow 08/23/2021 excactly at 9am and i will fail if i don't submit. so pls(Please) help.
Answers
graph the inequality v ≤ -4 graph it
Answers
Answer:
This simply means that you can move on the line all the way to -∞ from -4
Please view the image to see the graph
Step-by-step explanation:
The Dallas Cowboys starting at the 20 yard line, ran two plays. The first play gained 10 yards, and after the second play the ball was placed at the 50 yard line. How many yards they gain on the second play?
Answers
=========================================================
Explanation:
They start on the 20 yard line. After the first play, they gain 10 yards and move to the 20+10 = 30 yard line.
After the second play, they must have gained 20 yards because 30+20 = 50.
Or you can think of it like 50-30 = 20, which shows the distance from the 30 yard line to the 50 yard line is 20 yards.
All of this assumes that the Cowboys started on their side of the field.
Which number is irrational?
A
B.
10
c.
716
D. V25
E. 36
Answers
Irrational is √10, because
√9 = √3² = 3
√16 = √4² = 4
√25 = √5² = 5
√36 = √6² = 36
We can't anything with √10, eventually we can approx.
Answer:
option a
Step-by-step explanation:
[tex] \sqrt{9 } = \sqrt{ {3}^{2} } = 3 \\ \sqrt{16 } = \sqrt{ {4}^{2} } = 4 \\ \sqrt{25} = \sqrt{ {5}^{2} } = 5 \\ \sqrt{36} = \sqrt{ {6}^{2} } = 6 \\ \sqrt{10} = \sqrt{2 \times 5} [/tex]
Hence, √10 is irrational number.
I hope it helped U
stay safe stay happy
Find the distance between the points, A (-2, -3) and B (10, -2).
Answers
A. 13 units is the answer.
Which of the following is equivalent to 0.00648?
A. 6.48x10'-2
B. 6.48x10'3
C. 0.648x10'3
D. 6.48x10'-3
Answers
Answer:
The choose D. 6.48x10'-3
I hope I helped you^_^
Answer: i think its D.
Step-by-step explanation:
Simplify the rate $400 for 16 hours of work?
A) $26/h
B) $40/h
C) $ 16/h
D) $ 20/h
Answers
Answer:
Please check the options
Step-by-step explanation:
In 16 hours = $400
In 1 hour = 400/16
In 1 hour = $25/h
A segment has the following coordinates A(6,7), B(4,-3). Find the coordinates of the of the midpoint of AB.
Answers
Answer:
(5,2)
Step-by-step explanation:
midpt coordinates =((x1+x2)/2,(y1+y2/2))
= ((6+4)/2), (7-3)/2)) = (5,2)
Brooke spent 3/4 hours playing her flute each day for 7 days. How many hours did she play her flute in all
Answers
Answer:
5 and 1/4 hours or 5 hours and 15 minutes
Step-by-step explanation:
She played her flute 3/4 hours every day for 7 days, so to find the total number of hours we can multiply 3/4 by 7 to get 21/4. This is equal to 5 and 1/4 hours, or 5 hours and 15 minutes.
Answer: 5.25 hrs
Step-by-step explanation: 3/4 of an hour is 45 min. 45 min x 7 days is 315 min which is 5 hours and 15 min or 5.25 hrs
how to approximate to 3 significant figures
Answers
Answer:
We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
A company's stock began the day at $39.17 per share. That price drops by $1.38 each hour.
What is the price per share after 4 hours?
Answers
Hi :)
The price per share after 4 hours is $33.65.
Answer:
$33.65
Step-by-step explanation:
Write the polynomial in standard form.
LaTeX: 17+5abc\:-3d
Answers
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
ba de forttg
Find the mode, median, and mean of each data set ( ASAP pls can someone help me )
Answers
Answer:
mean = 10.818181...
median = 10
mode = 5
Step-by-step explanation:
first put the numbers in order, smallest to largest
5 5 6 8 9 10 11 13 15 18 19
mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)
median = 10
mode = 5
Name that polynomial X^4-3x^2+7x^5
Answers
We have that the Polynomial is named as a Quintic polynomial
From the Question we are told that
Polynomial=[tex]X^4-3x^2+7x^5[/tex]
We note that the Polynomial is of degree 5 as its highest Sum of its exponent is a
Quintic polynomial
Therefore
The Polynomial is named as a Quintic polynomial
In conclusion
For every Polynomial at degree five that is a greatest power of 5 (e^5) the accurate name for this polynomial is called a Quintic Polynomial
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To each of the fraction below find 3 fractions with denominators powers of 10 getting closer and closer to it and hence write it to the decimal form of 1/11
Answers
Solution:-1
[tex]\\ \sf\longmapsto \dfrac{4}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{9}[/tex]
Solution:-2
[tex]\\ \sf\longmapsto \dfrac{1}{11}[/tex]
[tex]\\ \sf\longmapsto 0.09[/tex]
solve the question pls
Answers
Answer:
[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]