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hichkok12 [17]
3 years ago
9

Please help!!!!!! Plato

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

A

Step-by-step explanation:

used  calculator!

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Which expression is a perfect cube?
Bingel [31]

we know that

A perfect cube is a whole number which is the cube of another whole number or a number is a perfect cube if the cube root of that number is a whole number.

so

<u>case a)</u> 12x^{12} y^{18}

12x^{12} y^{18} = 12(x^{4} y^{6})^{3}

the cube root of 12 is not a whole number

therefore

<em><u>The expression is not a perfect cube</u></em>

<u>case b)</u> 12x^{27} y^{125}

12x^{27} y^{125} = 12(x^{9})^{3}y^{125}

the cube root of 12 is not a whole number

the cube root of y^{125} is not a whole number

therefore

<em><u>The expression is not a perfect cube</u></em>

<u>case c)</u> 64x^{15} y^{18}

64x^{15} y^{18} = (4 x^{5} y^{6})^{3}

therefore

<em><u>The expression is a perfect cube</u></em>

<u>case d)</u> 64x^{27} y^{125}

64x^{27} y^{125} = (4 x^{9})^{3}y^{125}

the cube root of y^{125} is not a whole number

therefore

<em><u>The expression is not a perfect cube</u></em>

<u>the answer is</u>

64x^{15} y^{18}

7 0
4 years ago
Read 2 more answers
Trigonometric ratios
pochemuha

Answer:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent.

Step-by-step explanation:

4 0
4 years ago
Find the equation of an ellipse centered at the origin with foci at the points( 0 , 3 ) and ( 0 , − 3 ). Additionally, the major
yuradex [85]

Answer:

\frac{x^2}{25}+\frac{y^2}{16}=1

Step-by-step explanation:

We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).

Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

However we can solve for " b " instead, using c. Take a look at another major formula below,

c^2 = a^2 - b^2,

(3)^2 = (5)^2 - b^2,

9 = 25 - b^2,

- b^2 = 16,

b = 4 = - 4

Whether b = - 4 or b = 4, or equation will be the same.

(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,

x^2 / 25 + y^2 / 16 = 1

<u>Our solution is hence option number 1</u> : \frac{x^2}{25}+\frac{y^2}{16}=1

8 0
4 years ago
How much money is there?
Elina [12.6K]

Answer:

I don’t feel like it sorry

Step-by-step explanation:

hows it feel m8, not so good dont it?

7 0
3 years ago
Need help on this
Stolb23 [73]
15.12m2 just finished the test
4 0
3 years ago
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