[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
Bài 7. Biện luận theo tham số a hạng của các ma trận sau:
a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a
a
b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a
a
c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
Answer:A
Step-by-step explanation:A
Please help! Due in 45 minutes!
In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.
Answer:
xx=15.86
Step-by-step explanation:
solve pls brainliest
Step-by-step explanation:
2715-1196=1519
-194+121=-73
3010 divided by .20 = ?
Answer:
15050
Step-by-step explanation:
Answer:
15050
Step-by-step explanation:
Guys pls helpppp my project is due after 10 minuteesss
Answer: yo
Step-by-step explanation:
didnt i alr di this for you?
A baseball game has
Answer:
ummm whats the chioces
Step-by-step explanation:
54
Roman has played 56 of the 98 songs on his playlist. How many more songs are left on the playlist?
24
33
42
0 56
Zahid and nasir had 7350 game cards. Zahid gave 520 cards to nasir. Now zahid had 4 times as many games cards as nasir. How many game cards did zahid bave at first?
Answer:
Zahid had/has 31480 cards
7350 + 520= 7870
7870 times 4 = 31480
Step-by-step explanation:
Hope this helps
can i get braineist
Answer:
Step-by-step explanation:
Zahid and nasir had game cards= 7350
Zahid gave cards =520
Total cards left= 7350 - 520= 6830
Let
Zahid =x
Nasir = 4x
x+4x=6830
5x=6830
x=6830/5=1366
Zahid=1366
Nasir=4x=4(1366)=5464
Check
Zahid=1366+520=1886
Nasir=5464
Zahid+Nasir=1886+5464=7350
can someone help me olease
Answer:
ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그
Step-by-step explanation:
너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ
or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?
Answer:
adult tickets x=88 and senior tickets y=52
Step-by-step explanation:We can take adult ticket as x and senior ticket as y.
Now we will form two equations
x + y = 140
13x + 10y = 1664
This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)
We will multiply first equation with (-10) and get
-10x-10y=-1400 Than we will add to second equation and get
3x=264 => x=264/3=88 => x=88
Now we will replace x in the first equation before multiplying and get
88+ =140 => y= 140-88= 52 => y=52
adult tickets x=88 and senior tickets y=52
Good luck!!!
what is 240.50 x 19.54
Answer:
240.50 x 19.54= 4699.37
4 1/6 - 3 3/5
Show your work pls
Answer:
-78/30 or -2 3/5
Step-by-step explanation:
4 1/6 - 3 3/5
25/6 - 18/5
30-108\30
= -78/30 or -2 3/5
Answer:
4 1
6
–
3 3
5
=
17
30
Step-by-step explanation:
4 1
6
–
3 3
5
= (4 – 3) + (
1
6
–
3
5
)
= 1 +
1 × 5
6 × 5
–
3 × 6
5 × 6
= 1 +
5
30
–
18
30
= 1 +
5 – 18
30
= 1 +
-13
30
=
17
30
SHOW WORK. Algebra question 100 POINTS! Easy
[tex](4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}[/tex]
Answer:
C. 96x⁷Step-by-step explanation:
(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷Your choice is correct
What is 2+1000000000
Answer:
the answer
1000000002
how do i solve this step by step? i dont know how to set up this equation
Answer:
23
Step-by-step explanation:
The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.
(x - 8) / 30 = 1/2 Cross multiply
2(x - 8) = 30 Divide both sides by 2
x - 8 = 30/2
x - 8 = 15 Add 8 to both sides
x-8+8 =15+8
x = 23
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation:
there are 21 ballons 4 are blue ballons 3 is green what is the total of blue ballons
Answer:
4 blue balloons.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: 4 + 3 = 7 and there are 21 balloons 21 - 7 = 14. and thats how you get 14
solve pls brainliest
Answer:
4.5341 < 6.9 < 6.906 < 6.96
Step-by-step explanation:
4.5341 is closer to 0 than 6.96 is.
Evaluate the expression when t = 0.2.
300t2−0.5÷t
Enter your answer as a decimal in the box.
help asap
Answer:
9.5
Step-by-step explanation:
Just put the 0.2 in the correct.
Answer:
9.5
Step-by-step explanation: I'm in K12 good luck.❣
Enter the values of x, y, and z. The diagram is not to scale.
Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!
Answer:
divide 8/3
8/3 = 2
and for -11/3 it = -4 because it would originally = to -3.66666666667 and u have to round it.
----------------------------------
for the second picture
make it into an improper fraction
-2 1/2 = -5/2
and for 6 1/2 it = to 13/2
now, to plot it on the line you have to divide
divide -5/2 = -2.5
and divide 13/2 = 6.5
------------------------------------
Hope this helps!
Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
a) 270° counterclockwise rotation about the point (1,-2)
So, the new coordinates are
B(2, -3)→(1, -1)
C(6, -4)→(5, -2)
D(7, -6)→(6, -4)
E(3, -5)→(2, -3)
After 270° counterclockwise rotation, we get coordinates as
B(1, -1)→B'(-1, -1)
C(5, -2)→C'(-2, -5)
D(6, -4)→D'(-4, -6)
E(2, -3)→E'(-3, -2)
b) Translation along the vector (0,8)
B(2, -3)→B''(2, 5)
C(6, -4)→C''(6, 4)
D(7, -6)→D''(7, 2)
E(3, -5)→E''(3, 3)
Therefore,
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
To learn more about the rotation of 270° counterclockwise visit:
brainly.com/question/9109065.
#SPJ3
Need help with this tricky image
2=8−6/4x help please yall whats the x
Answer:
x= 4
Step-by-step explanation:
How to solve your problem
Topics: Algebra
2=8−1⋅64⋅
2=8-1 \cdot \frac{6}{4} \cdot x
2=8−1⋅46⋅x
Solve
Divide the numbers
2=8−1⋅64⋅
2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x
2=8−1⋅46⋅x
2=8−1⋅32
2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
Multiply the numbers
2=8−1⋅32
2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
2=8−32
2=8{\color{#c92786}{-\frac{3}{2}}}x
2=8−23x
Combine multiplied terms into a single fraction
2=8−32
2=8-\frac{3}{2}x
2=8−23x
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x
Find common denominator
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x 2 =2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
Combine fractions with common denominator
2=2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
2=2⋅8−3 2
2=\frac{2 \cdot 8-3x}{2}
2=22⋅8−3x
Multiply the numbers
2=2⋅8-3 2
2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}
2=22⋅8−3x 2=16−3 2
2=\frac{{\color{#c92786}{16}}-3x}{2}
2=216−3x
Rearrange terms
2=16−3 2
2=\frac{{\color{#c92786}{16-3x}}}{2}
2=2 16−3x 2=−3+16 2
2=\frac{{\color{#c92786}{-3x+16}}}{2}
2=2−3x+16
Multiply all terms by the same value to eliminate fraction denominators
2=−3+16 2 2=\frac{-3x+16}{2}
2=2−3x+16
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
Cancel multiplied terms that are in the denominator
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
2⋅2=−3+16
2 \cdot 2=-3x+16
2⋅2=−3x+16
Multiply the numbers
2⋅2=−3+16
{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16
2⋅2=−3x+16
4=−3+16
{\color{#c92786}{4}}=-3x+16
4=−3x+16
Subtract
16
from both sides of the equation
4=−3x+16
4−16=−3+16−16
4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}
4−16=−3x+16−16
Simplify
Subtract the numbers
−12=−3
Divide both sides of the equation by the same term
−12=−3
\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}
−3−12=−3−3x
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
= 4
Find the value of x. 2x – 15 – 7x + 24 = -36
Answer:
9
Step-by-step explanation:
hlo!! dear!! glad to help u!
2x – 15 – 7x + 24 = -36
2x -7x -15 +24= -36
-5 x + 9= -36
-5 x = -36-9
-5 x =-45
x = -45/-5
x = 8
thank u!!!
A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open, the store sells 10 cartons per hour. Over the next 2 hours, no cartons of strawberries are sold. The store then restocks 10 cartons each hour for the next 2 hours. In the final hour that the store is open, 20 cartons are sold. Graph the function.
Choose the BEST estimate!
Answer:
About 300 dollars
Step-by-step explanation:
THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.
The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.
600 - 300 = 300, therefore the difference is about 300 dollars.
Hope this helps!
HII i really need help
Answer:
when in doubt choose c
Step-by-step explanation:
Answer: 11/48 cubic feet
Step-by-step explanation:
alright ill try my best to explain
so you use the formula V = 22/21r^2h
where V is volume
r is radius
and h is height of cone
you simply plug in the values given in the question, so
V=22/21*1/2^2*7/8
so the answer would be 11/48 cubic feet
como se escribe 654,007,000 en letra
Answer:
seiscientos cincuenta y cuatro millones siete mil