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Delicious77 [7]

3 years ago

14

9 less than g to the 4th power

1 answer:

nikdorinn [45]3 years ago

3 0

5 to the 5th power!!

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If a car drives for 45 miles per hour, how many minutes will it take if it drives 27 miles?

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20.25 because 1 mile takes 0.75 minutes

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Right triangle what does it add up to

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Mr.rodriguez bought 420 pencils for the school.if there are 10 pencils In each box how many boxes are there'

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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

Given p : q = 5 : 2 and q : r = 4 : 3, find the ratio of p : q : r

yaroslaw [1]

Answer:

p : q : r = 10 : 4 : 3

Step-by-step explanation:

Expressing the ratio in fractional form

$\frac{q}{r}$ = $\frac{4}{3}$ ( cross- multiply )

4r = 3q ( divide both sides by 4 )

r = $\frac{3}{4}$ q = $\frac{3}{4}$ × 2 = $\frac{3}{2}$

Then

p : q : r

= 5 : 2 : $\frac{3}{2}$ ( multiply all parts by 2 )

= 10 : 4 : 3

7 0

3 years ago

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