Answer:
5/2
Step-by-step explanation:
alternative = 2 1/2 , 2.5
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
How would you convert 12.5% to a fraction?
Answer:
12.5% as a fraction is written as 25/2
Step-by-step explanation:
step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.
step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.
step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2
Quan can make 30 bracelets in 2.25 hours. How much time will it take him to make 80 bracelets .
Answer:
6
Step-by-step explanation:
Quadrilateral JKLM with vertices J(2, 10),
K(8,9), L(7,4), and M(3, 4):
J
k = 2, centered at (4,7)
Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
What is one geometrical fact explained in the lecture that reflects the mathematical technique da Vinci used in The Last Supper? a. He doesn?t use mathematics in the painting. B. He uses trigonometry to find the exact place where each thing should be located and create the picture plane. C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Answer:
C. He uses the coffers of the ceiling to place Jesus in the mathematical center, and to create an illusion that extends the room beyond what is visible.
Step-by-step explanation:
See attached. We can see that this option is the best as it reflects what we can see in the painting.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
c
Step-by-step explanation:
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the others is:
The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other
Simple random sampling.According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.
As a result of this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.
In this method, we can see that there are different types of random sampling techniques which includes:
Simple random samplingStratified random samplingCluster random samplingSystematic random samplingTherefore, the correct answer is Simple random sampling.
Read more here:
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Please help will mark brainliest
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
write an quadratic equation with the x-intercepts of (0,0) and (16,0)
Answer:
y = x^2 - 16x
Step-by-step explanation:
The given roots are x = {0, 16}
y = (x - 0)(x - 16)
y = x(x - 16)
y = x^2 - 16x
Simplify the expression.
3.7-4.6n-3n + 6
Answer:
−7.6n+9.7
Step-by-step explanation:
First, lets put the equation
≈3.7 - 4.6n - 3n + 6
Add light terms
−7.6n + 9.7
Now were done
Please help me this is due tomorrow.
Answer:
d
Step-by-step explanation:
who is in 6th grade or 7th?
cause I swear hrw.com is horrible
Answer college
Step-by-step explanation:
The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?
Answer:
May we assume "f-'(x)" means the fiurst derivative of f(x)? I'm not sure what f-'(x) sign means, if not that. The answer assume this is the first derivative. No graphs are shown, so I'll add one.
Step-by-step explanation:
f(x) = 2x + 3
f'(x) = 2
The graph would be a staight vertical line through x=2. The slope of the line f(x) = 2x + 3 is 2
Given
a= ∅
b=B
c= then A ∪ B=B
d= A
e = then A ∩ B=B
1. If A ⊂ B
2. If B ⊂ A
3. A ∪ ∅
4. A ∩ ∅
5. B ∪ ∅
Answer:
Step-by-step explanation:
A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...
Find the value of x in the equation below. 2.7+x=11.7
What operations are defined for these matrices?
The answer choices are M+N, N-Q, Q+L, M-P. Please help I really don’t know.
Step-by-step explanation:
if you are looking for the matrix or matrices then
L=2x2
p=2x2
q=2x1
m=4x2
n=4x2
This is cause the formula to get these is RxC or R=rows and C=columns
(i hope this is it, if not comment and lemme know)
1) 20/2 × 7 = ?
2) 6/2 + 6/1 = ?
.
.
_____
0.
20/2 × 7 = ?
= 10 × 7
= 70
[tex] \: [/tex]
Number (2)6/2 + 6/1 = ?
= 3 + 6
= 9
[tex]\huge\mathfrak\blue{Answer}[/tex]
3 + 6 = 9Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4
Answer:
4.0833333
Step-by-step explanation:
PLZ give brainliest thanks
I NEED THIS ANWER (WILL GIVE BRAILIEST TO CERRECT)
Answer: I got 60d+115f
Step-by-step explanation:
Hope this helps.
Answer:
60d+115f
Step-by-step explanation:
if you were basically asking to simplify then this is your answer
Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else
Answer:
7 by 21 is the answer so 1 by 3 and that will be 3
divide £64 in the ratio5 3:
Answer:
£40 : £24
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio
£64 ÷ 8 = £8 , then
5 parts = 5 × £8 = £40
3 parts = 3 × £8 = £24
£64 in the ratio 5 : 3 is £40 : £24
Answer:
24:40
Step-by-step explanation:
Let the ratio be 3x and 5x
3x+5x=64
8x=64
X=8
ratio=3(8):5(8)
24:40
Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.
At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)
Answer: Leah made more money by 1,996 dollars more than Gemma,
Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars
what is the value of x
a) 69
b) 35
c) 14
d) 26
Answer:
50²-48²
solve it you will get answer
Answer:
C) 14
Step-by-step explanation:
(Phytogoras theorem)
[tex] {50}^{2} = {48}^{2} + {x}^{2} [/tex]
2500 = 2304 + x^2
2500 - 2304 = x^2
X^2 = 196
[tex]x = \sqrt{196} [/tex]
X = 14
the price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%, find the price that a customer must pay for the machine.
Answer:
Step-by-step explanation:
12/100 × 20000
= 2400
Price customer must pay = 20,000+ 2400 = 22400.
If price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%. Then 22400 is the price that a customer must pay for the machine.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
The price of a machine is given as GHC 20,000 plus VAT
The VAT rate is 12%,
We need to find how much a customer has to pay for the machine..
12% is changed to decimal number by dividing with 100.
12/100=0.12
Now multiply 20000 with 0.12 to find 12% of 20000
0.12×20000=2400
Now we have to add 2400 with 20000 to get the cost of machine after adding VTA
20000+2400=22400
Hence 22400 is the price that a customer must pay for the machine.
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A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.
When Sammy's school bus has traveled 4.3 miles, he has completed only 40% of his trip home from school. How many miles does Sammy travel on the school bus from school to home?
Answer:
10.75 miles
Step-by-step explanation:
What is dehydration reaction ?
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
What is the slope of the graph?
Noah has 3 meters of rope. How many 3/4 meter pieces of rope can he cut from it?
Answer:
4
Step-by-step explanation:
3/(3/4)=4
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
Could someone help me solve for this question? I have a hard time
Understanding. Thanks, the question is
Which statement describes the end behavior of the exponential equation y = 3^x?
A as x -> - ♾ , y -> - ♾
B as x -> - ♾ , y -> 0
C as x - > ♾ , y -> - ♾
Answer:
the answer is b ok understand