Answers
Answer:
5+a-4√a+1 / a-3
The rationalization of given expression is a+5-4√(a+1)/(a+5).
What is Rationalization?Rationalization can be considered as the process used to eliminate a radical or an imaginary number from the denominator of an algebraic fraction. That is, remove the radicals in a fraction so that the denominator only contains a rational number.
The given expression is √(a+1)-2/√(a+1)+2.
Multiply both numerator and denominator by (a+1)-2, we get
√(a+1)-2×(a+1)-2/√(a+1)+2×(a+1)-2
= (√(a+1)-2)²/(√(a+1))²+2²
= (√(a+1))²-2×√(a+1)×2+2²/a+1+4
= a+1-4√(a+1)+4/(a+5)
= a+5-4√(a+1)/(a+5)
Therefore, the rationalization of given expression is a+5-4√(a+1)/(a+5).
Learn more about the rationalization here:
https://brainly.com/question/1980047.
#SPJ2
Related Questions
what are the missing numbers pls do it in order!!! :)
Answers
Answer:
12 30 and 50
Step-by-step explanation:
i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllppppppppppp
If 3x−y=12, what is the value of 8x/2y?
A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.
Answers
Answer:
3x-12=y
which equals to
1/y=1/(3x-12)
Now,multiply both sides by x
x/y=x/(3x-12)
8x/2y=4x/y=4x/(3x-12)
Step-by-step explanation:
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Please help Due tomorrow!
Answers
Answer: It may possibly be SU
Step-by-step explanation:
Answer:
SU
Step-by-step explanation:
The triangles are reflections of each other (the same but mirrored).
So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU
please help asap I’m going to fail if I don’t ace this and brainly doesn’t have this question if anyone knows how to do this I will cashapp you
Answers
Answer:
C
Step-by-step explanation:
a translation over the x-axis keeps the same x value but flips the y value (makes it the opposite.)
so here, C starts at point (1,-2). when reflected over the x-axis this becomes (1,2)
a translation to the left subtracts from the x value
the coordinate changes from (1,2) to (-2,2) because 3 is subtracted from 1
What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1)
will mark brainlyest
Answers
The answer is (3,1) thanks for the points bud
Answer:
B (-3, 6)
Step-by-step explanation: I did it on edge 2021
3a^4b^-2c^3 simplifed
Answers
Please answer 5 x (1/25)
Answers
Answer:
5/25 or simplified 1/5
Step-by-step explanation:
Answer:0.2
Step-by-step explanation:
yall please help me with this math question :/
Answers
Determine whether or not the function is linear or nonlinear.
Answers
Answer:
Nonlinear
Step-by-step explanation:
This line is not straight so it's not linear.
Linear is a straight line.
nonlinear is any line that's not straight.
Ace Carlos
PLEASE HELP I HAVE 10 MINUTES ILL MARK YOU BRAINLIEST
Answers
Answer:
There are no questions available in this question.
Step-by-step explanation:
Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answers
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answers
Answer:
-70x
Step-by-step explanation:
Chad is renting a moving van for one day. It costs $20 to rent the van for the day. It also costs $0.60 for each mile the van is driven. Chad uses this model to find the total cost for driving m miles: initial cost + cost for one mile × number of miles Which expression can be used to find the total cost of renting the van?
Answers
Answer:
20 + 0.6x
Step-by-step explanation:
Answer:
B (20 + 0.60m)
Step-by-step explanation:
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answers
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answers
Answer:
9 hours.
Step-by-step explanation:
31 + 5.9*t < 84.10.
To solve it, collect the constant terms on the right side:
5.9*t < 84.10 - 31 = 53.10,
Hence, t < 53.10%2F5.9 = 9 hours.
Answer:
7 hours
Step-by-step explanation:
99.10-34=65.1
65.1 divide by 9.30=7
Hope this helps!!
Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system {y=x+5 {y-2x=2
Answers
Answer:
x-2x = -3 and x = 3
Step-by-step explanation:
Given the expression
y=x+5.... 1
y-2x=2.... 2
Substituting the first equation into the second we will have;
From 2;
y -2x = 2
x+5-2x = 2
x-2x +5 = 2
x-2x = 2-5
x-2x = -3
-x =-3
x =3
Hence the required equation is x-2x = -3 and x = 3
Answer:
(x + 5) – 2x = 2
Step-by-step explanation:
Edge 2021
HELP PLS ill mark u brainliest
Answers
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answers
Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
15/9 into simplest form will give brainlest
Answers
9/3. = 3
5/3 os the answer
Answer:
1 6/9
Step-by-step explanation:
9 can only go into 15 once. So 15 - 9 = 6. 6 goes on top of the 9 and you get your answer of 1 6/9
Which solution shown below contains an error?
3
4
3x
4
3x+4
?
ਦੇਸ਼ ਦੇ
1
+2
2
x+2
1
x+1
+2
2
3
+
21-12
8x+8
(x+1)(x-6) * (x+1)(x-6)
+1
- 8
1px-4
(+1)(-6)
Answers
Answer:
B
Step-by-step explanation:
1/x+2 + 1/x+2 = 2/x+2 = 1/x+1.
Can i have some help please
Answers
Answer:
bababooey
Step-by-step explanation:
19 = 4x + 3 *
Plz, help me with this!
Answers
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
Please I am on a timer
Answers
Answer: g=5
Step-by-step explanation:
Express in the form n : 1
9:3
Answers
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
What is the correct anwser and how
Answers
Answer:
D
Step-by-step explanation:
5+8=13
NOT 58
Answer: D
Step-by-step explanation:
Well 5+8=13 and not 58, so that’s why it’s incorrect
What is the LEAST common denominator for 6 and 8
Answers
Answer:
3 4 if u wanna go father 1.5 2
Step-by-step explanation:
Answer:
24 is the lcd for 6 and 8..
True or False: A FICO score is named after its creator, Fair Isaac, and Corporation. It
summarizes the probability that a person with debt will repay that debt.
Answers
Answer:
true
Step-by-step explanation:
Find X.
Math it’s.com
Answers
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
Which operation should you do first when you simplify the expression below?
(15+4)x3
Answers
Answer:
I would assume you would use PEMDAS? thats what I would use
Answer:
Solve the parenthesis
Step-by-step explanation:
In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!
1. One inch is around 27 centimeters.
IT
Inches
1
3
4
Centimeters
2
3
8
9
101
LL2
a. How many centimeters long is 3 inches? Show your reasoning.
