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3 years ago

14

Whats the unit rate for 162 and 9

1 answer:

satela [25.4K]3 years ago

6 0

Divied 162 and 9 and your answer is 18

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How to write 0.125 as a fraction in simplest form

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Answer:

0.125 = 125/1000

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Please say the balance

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750.64

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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.

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3 years ago

you are riding your bike. At 10:04am you have riddden your bike 23 miles. By 10:17am you have ridden 179 miles. Find the rate of

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The answer is 720 mph, since we make time the x and distance y. We use the slope formula (y2 - y1)/(x2 - x1)

(179-23)/(17-4)

156 miles/13 mins

12 miles per min

Since the answer is in hours instead of minutes, we multiply 12 by 60 to get 720 mph

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The monthly budget for the front of the house is $9,000. You spent 6% of the budget on fresh flowers. How much did you spend on

adelina 88 [10]

Answer:

$540

Step-by-step explanation:

Since we are paying 6% of the money on flowers we need to multiply our budget by .06. Let x equal the amount of money we payed for flowers.

x=9000*.06

Multiple the two numbers

x=540

We payed $540 for the flowers

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