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mixas84 [53]
3 years ago
14

Solve: 2/x+1/3=1/y for y.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

Answer:

y=3x/6+x

Step-by-step explanation:

You might be interested in
The interior angle of a regular polygon is 4 times as large as the exterior angle.
Mrac [35]

Answer:

exterior angle = 36°

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180°

let x be the exterior angle then interior angle is 4x , then

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus exterior angle = 36°

5 0
2 years ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

7 0
3 years ago
Use the graph of the quadratic function y = - 1x2 + x + 4 to
True [87]

Answer: A, -2 and 4

Step-by-step explanation: cause it it you’re welcome

6 0
3 years ago
Solve for x write the smaller solution first and the larger solution second. Round to two decimal places (x+8)^2-7=0
siniylev [52]

Answer:

x ≈ - 10.65, x ≈ - 5.35

Step-by-step explanation:

Given

(x + 8)² - 7 = 0 ( add 7 to both sides )

(x + 8)² = 7 ( take the square root of both sides )

x + 8 = ± \sqrt{7} ( subtract 8 from both sides )

x = - 8 ± \sqrt{7} , thus

x = - 8 - \sqrt{7} ≈ - 10.65

x = - 8 + \sqrt{7} ≈ - 5.35

4 0
3 years ago
What is the factorization of the trinominal below -x^2+2x +48
vovikov84 [41]

Answer:

(-x-6)(x-8)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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