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klasskru [66]
3 years ago
14

Ryan, Jessica, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes.

What is the correct answer? y = 3x + 2 6x – 2y = 10
Mathematics
2 answers:
Pie3 years ago
7 0

6x - 2y = 10

-2y = -6x + 10...reduce by dividing by -2

y = 3x - 5....slope = 3 and y int = -5

y = 3x + 2 ...slope = 3, y int = 2

These lines are parallel. Parallel lines will have the same slope, but different y int's. There is no solution to this because ur lines never intersect.

Mark's answer is correct

Stella [2.4K]3 years ago
6 0

It's not possible to do any of that without seeing any of their work.

By the way, that system of equations has no solution.


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Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

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Answer:

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Step-by-step explanation:

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We know that the constants are the terms in the algebraic expression that contain only numbers.  

In the given expression only last term has only numerical value and no variable, rest of them have variable x.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The even numbers are numbers which can be written as 2n where n is any integer number.

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And the even number 2n is 2(21) = 42.

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