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3 years ago

Whats the Fifth Root of 486 divided by the FIfth Root of 2

Mathematics

1 answer:

Gennadij [26K]3 years ago

4 0

Answer:

Step-by-step explanation:

Rewrite the division as a fraction.

Combine into a single radical.

Simplify the expression.

Divide 486 by 2

Rewrite 243 as 3 ^5

Pull terms out from under the radical, assuming real numbers.

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Solve for x and y<br><br>6/x+2y + 5/x-2y = -3 ;<br>3/x+2y + 7/x-2y = -6

Radda [10]

Step-by-step explanation:

Let

{1/(x+2y)} = u -----Eqn(1)

{1/(x-2y)} = v ------Eqn(2)

So, given equation can be rewritten as

⇛6u + 5v = -3 ---Eqn(3)

⇛3u + 7v = -6 -----Eqn(4)

On multiply equation (4) by 2, we get

⇛6u + 14v = -12 -----Eqn(5)

On subtracting equation (3) from equation (5), we get

⇛9v = -9

⇛v = -9/9

⇛v = -1 ----Eqn(6)

Put value of v in equation (3), we get

6u + 5v = -3

⇛6u + 5 * (-1) = -3

⇛6u -5 = -3

⇛6u = -3 + 5

⇛6u = 2

⇛u = 2/6

⇛u = (2÷2)/(6÷2)

⇛u = 1/3 -----Eqn(7)

Now, substituting value of u and v in equation (1) and equation (2), we get

{1/(x+2y)} = 1/3 and {1/(x-2y)} = -1

⇛x + 2y = 3 -----Eqn(8)

⇛x - 2y = -1 -------Eqn(9)

Now, add equation (8) and equation (9) , we get

⇛2x = 2

⇛x = 2/2

On substituting x = 1 in equation (8), we get

x + 2y = 3

⇛ 1 + 2y = 3

⇛2y = 3 - 1

⇛2y = 2

⇛y = 2/2

Therefore, x = 1 and y = 1

<u>Answer</u><u>:</u> Hence the value of x and y is 1 and 1.

8 0

3 years ago

Find the missing lengths of the sides.

Anarel [89]

Given:

The figure of a right angle triangle.

$a=b$

Hypotenuse = $9\sqrt{2}$ in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is $9\sqrt{2}$ in.

Using Pythagoras theorem, we get

$Hyponteuse^2=Base^2+Perpendicular^2$

$(9\sqrt{2})^2=(a)^2+(b)^2$

$81(2)=(a)^2+(a)^2$ $[\because a=b]$

$81(2)=2(a)^2$

Divide both sides by 2.

$81=(a)^2$

Taking square root on both sides.

$\pm \sqrt{81}=a$

$\pm 9=a$

Side cannot be negative. So,

$9=a$

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0

3 years ago

Can someone help me please

LenaWriter [7]

Answer:

the correct graph is b for this problem

8 0

3 years ago

I need help with this math problem. Please someone help me if they can.

Veronika [31]

The answer is <span>412

hope this helps
can i plz get brainliest </span>

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3 years ago

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A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π? V = π in.3

Harrizon [31]

Answer: 288pi in3

Step-by-step explanation:

Volume of a sphere= 4/3pir^3

R=6inches

V=4/3pir^3

V=4/3pi(6^3)

V=4/3pi(216)

V=864pi/3

V=288pi in^3

5 0

3 years ago

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