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2 years ago

Convert the equation -9x^2+25y^2-100y-125=0 into standard form

Mathematics

2 answers:

Rudiy272 years ago

5 0

Answer:

(y−2)29−x225=1

Step-by-step explanation:

vladimir1956 [14]2 years ago

4 0

Answer:

(y-2)^2/9-x^2/25=1

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3 years ago

Question 2 of 5

jeyben [28]

Answer:

Step-by-step explanation:

Given expression :

1 + 24 + ( + 3) = 1

Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.

1 + 24 + ( + 3) - 1 = 0

Now, opening the bracket, we get

1 + 24 + 3 - 1 = 0

Negative 1 and positive 1 will get cancel

24 + 3 = 0

or 27

Therefore, the value of the numerical expression 1 + 24 + ( + 3) = 1 is 27.

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3 years ago

Find the perimeter of the parallelogram shown.<br> A) 36 cm<br> B) 40 cm<br> C) 46 cm<br> D) 54 cm

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Answer:

Step-by-step explanation:

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2 years ago

At a certain zoo, the average mass of one blue whale is measured to be 1.9 × 105

professor190 [17]

Answer:

2.7930 × $10^{4}$

Step-by-step explanation:

1.9 × 105 × 140 = 27,930

Scientific notation: 2.7930 × $10^{4}$

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2 years ago

Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

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3 years ago

Convert the equation -9x^2+25y^2-100y-125=0 into standard form​

Convert the equation -9x^2+25y^2-100y-125=0 into standard form