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3 years ago

Is 450 divisible by 5 9 and 10

Mathematics

2 answers:

Alenkinab [10]3 years ago

6 0

Yes.
450/5 = 90
450/9 = 50
450/10 = 45

Umnica [9.8K]3 years ago

3 0

Yes. 450 ÷ 9 = 50, 450 ÷ 5 = 90, 450 ÷ 10 = 45

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Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .

The length of the minor axis is $2b=2(2)=4$ .

The vertices are $(0,5);(0,-5)$ and $(2,0);(-2,0)$ .

Now, the main parameters of an elipse are related by

$a^{2}=b^{2} +c^{2}$ , which we are gonna use to find $c$ , the parameter of the focus.

$c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}$

So, the coordinates of each focus are $(0,\sqrt{21})$ and $(0,-\sqrt{21})$

The eccentricity of a elipse is defined

$e=\frac{c}{a}=\frac{\sqrt{21} }{5} \approx 0.92$

The latus rectum is defined

$L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6$

Finally, the graph of the elipse is attached.

7 0

3 years ago

Simplify the expression insert . Question 11 of 20 : Select the best answer for the question. 11. Simplify the expression (2√ 27

White raven [17]

First,, you need to simplify the radical in the first parenthesis.
(6) × (3)
Now simplify the radical in the second parenthesis.
(6) × (12)
Then remove the parenthesis.
6 × 12
Now calculate the product to find your answer.
72
This means that the correct answer to your question is going to be 72.
Let me know if you have any further questions.
:)

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3 years ago

Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?

stich3 [128]

Do not bring the 10 in first. 8x15 and 4x3.

6 0

3 years ago

0.02952 + 0.0024 = Round your answer to the nearest thousandth

Dovator [93]

0.02992
This is it and I need points

8 0

3 years ago

3x + 2y = 5<br> X – 2y = -1

inysia [295]

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

3x +2y = 5 → (1)

x - 2y = - 1 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(3x + x) + (2y - 2y) = (5 - 1)

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

3(1) + 2y = 5

3 + 2y = 5 ( subtract 3 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (1, 1 )

7 0

3 years ago