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Mashcka [7]
3 years ago
13

Which inequality is represented by this graph?

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

y<=-(1)/(5)x+1

Step-by-step explanation:

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A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)
Sophie [7]

Answer:

Step-by-step explanation:

Given that:

T(x,y) = \dfrac{100}{1+x^2+y^2}

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)

By cross multiply

c({1+x^2+2y^2}) = 100

1+x^2+2y^2 = \dfrac{100}{c}

x^2+2y^2 = \dfrac{100}{c} - 1 \ \  -- (2)

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1

This is the equation for the  family of the eclipses centred at (0,0) is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

a^2 = \dfrac{100}{c} -1  \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}

Therefore; the level of the curves are all the eclipses with the major axis:

a =  \sqrt{\dfrac{100 }{c}-1}  and a minor axis b =  \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}  which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0
3 years ago
how so you solve 5x+27=9(x+3)-4x and is this a conditional equation, an identity, or an inconsistent equation
Vikentia [17]

To solve this, follow these steps:

5x + 27 = 9 (x+3) - 4x

Distribute the 9 within the parenthesis:

5x + 27 = 9x + 27 - 4x

Then combine like terms:

5x + 27 = 5x + 27

These two then cancel each other out completely.

This is an identity because an identity in math is when both equations equal each other, which is shown above.

Hope this helps!

5 0
3 years ago
The computer club spent $2,565 on mouse pads. The me never plan to sell the nous pads during the book fair. If they charge $9.50
Lapatulllka [165]
The answer is 270 because 2,565/9.5=270 hope this helps!
8 0
2 years ago
The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i
Marianna [84]

Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

3 0
2 years ago
The ratio of 6 inches to 3 feet expressed in simplest form is 1/6. True False
erastovalidia [21]
The answer is true. Hope this helps!!!
3 0
3 years ago
Read 2 more answers
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