Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]
[tex]\textsf{then find the value of x and y?}[/tex]
Explanation:-
[tex]\textsf{Consider LHS=}\\[/tex]
[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]
[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]
[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]
[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]
[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]
[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]
[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]
[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]
[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]
[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]
[tex]\bf{Read more:}[/tex]
[tex]\textsf{Similar questions}\\[/tex]
[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...
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When using a(n) _____ join, only rows from the tables that match on a common value are returned.
When you using an Inner Join, rows from table that match a common value are the only ones returned.
In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.
Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.
The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.
Therefore, when you using an Inner Join, rows from table that match a common value are the only ones returned.Learn more about Inner Join on:
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What does this problem equal? -2/3x-3-3
Answer:
-1
Step-by-step explanation:
-2/3*-3-3
2-3
= -1
WILL MARK AS BRAINLIEST
A total of 10 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars are minivans. How many minivans are washed?
Answer:
Step-by-step explanation:
Answer:
14 minivans
Step-by-step explanation:
From the question
A total of 20 families participate in a car wash. Each family brings two cars.
Hence, the total number of cars brought to the car wash is:
20 × 2
= 40 cars.
Mr. Gonzales notices that 35% of the cars were minivans.
The number of minivans were washed is :
35% of the total number of cars
= 35/100 × 40
= 14 minivans
Answer:
14 minivans
Step-by-step explanation:
From the question
A total of 20 families participate in a car wash. Each family brings two cars.
Hence, the total number of cars brought to the car wash is:
20 × 2
= 40 cars.
Mr. Gonzales notices that 35% of the cars were minivans.
The number of minivans were washed is :
35% of the total number of cars
= 35/100 × 40
= 14 minivans
100 POINTS IF U GET THIS RIGHT!
Answer:
y-intercept: 5/3
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -8/3 + 5/3
=> Now, let's compare.
=> y = mx + b = y = -8/3 + 5/3
=> we can tell that the y-intercept is b, which is 5/3.
Hoped this helped.
[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]
Blake's bank statement shows a
balance of $2000.00. Since the
statement date, Blake had
deposits of $1000.00 and $450.00.
He has visited the ATM for
withdrawals of $275,00 and
$40.00 when he took Christie to
the movies. He has written checks
for $47.00, $92.00, $101.00, and
$209,00. What is his account
balance?
His balance is $2,686.00
$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00
$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00
PLS HELP WILL MARK YOU BRAINLIEST!
Answer:
Option C
Step-by-step explanation:
[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]
[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]
[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]
[tex]\frac{2x^2z^3}{y}[/tex]
Rewrite the following equation in slope-intercept form. 20x − 11y = –17
Answer:
y = 20/11x +17/11
Step-by-step explanation:
Slope-intercept for: y=mx+b
20x -11y = -17
-11y = -20x -17 Subtract 20x on both sides
y = 20/11x + 17/11 Divide both sides by -11
can yall help me plzz
Answer:
x = 8
Step-by-step explanation:
To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.Hope this helps!
Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?
Answer:
28
Step-by-step explanation:
Solve -4=2/7p. solve for p
Answer:
forma exata
p=-1/14
Step-by-step explanation:
p=-0.0714285
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
Can someone please help me
Answer:
D. Step 3 and Step 4
Step-by-step explanation:
I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)
What time is it where you guys are at??
5 in the morning unfortunately cuz I have massive insomnia
Answer:
dose meen nambars
Step-by-step explanation:
dont ansor kweschins nambars kweschins
turn this in a slope-intercept equation: y=mx+b
(-8,-1); m=3/4
Answer:y=3/4x+5
Step-by-step explanation:
How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]
x-4-2= -11
it’s a negative 11 btw!!
Hello there!
x-4-2=-11
x-6=-11
x=-11+6
x=-5
Hope it helps
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
x=-5
Step-by-step explanation:
x-4-2=-11
x-6=-11
x=-11+6
=-5
PLS HELP WILL MARK BRAINLIEST!!
Evaluate x - (y - z) and (x- y) - z for y = 3, x = 5, z = 4. Is there any associative property of subtraction
Answer:
There is no associative property of subtraction.
Step-by-step explanation:
Given:
x = 5y = 3z = 4x - (y - z) = 5 - (3 - 4) = 5 - (-1) = 5 + 1 = 6
(x - y) - z = (5 - 3) - 4 = 2 x -4 = -6
Therefore, there is no associative property of subtraction as 6 ≠ -6
what is the LCM of 900 and 30000
Answer: 90,000
To find the LCM (Least Common Multiple) of a number, list the multiples of each number.
Multiples of 900
Since they're a lot, we will extend it to the short version.
900, 2700, 9900, 37800, 85500, 90000
Multiples of 30000
30000, 60000, 90000, 120000, 150000
Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.
Hence, 90,000 is the answer.
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09
Answer:
The answer is B, $0.26
Step-by-step explanation:
$48 * 12 =$576
- 12 months in a year
$223,050 / $100 =$2230.50
$576 / $2230.50 =$0.26
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
what is the answer to 32÷(-8)=
Answer:
-4
Step-by-step explanation:
32÷(-8)=-32÷8
=-4
Manuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.
Answer:
7300
Step-by-step explanation:
this is because 3 is in the hundreds column and is rounded down
because the number behind is 3 so it stays the same some it is 7300
[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]
[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]
P=√5+vt make v the subject
Answer:
p = √5 + vt
p - √5 = vt
p - 2.24 = vt
p - 2.24/t = t
PLS HELPPPP
Answer the following problem using the SOLVE Method
Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to
raise $500 by Friday. The figure below shows how much they have raised by
Wednesday. What is the minimum number of T-shirts they must still sell in
order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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Calculating interest
Answer:
Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.
Step-by-step explanation:
hope this helps
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
Yes or No
Please answer
the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning what is the next time they will leave at the same time
Answer:
1 pm
Step-by-step explanation:
We have to find their LCM, or least common multiple
Multiples of 36: 36, 72, 108, 144, 180, 216, ......
Multiples of 45: 45, 90, 135, 180, ....
180 mins is their LCM.
180 mins = 3 hours
10am + 3hours = 1 pm
-Chetan K
