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Lelechka [254]
3 years ago
13

If y varies directly as x, find the constant of variation if y = 25 and x = 5.

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

The constant of variation is 5

Step-by-step explanation:

We know direct variation is of the form

y = kx

We know y =25 and x=5

25 = k*5

Divide each side by 5

25/5 = 5k/5

5 = k

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Factor -24a3b3c3 - 84a4b2c.
sammy [17]

Answer:

-12a³b²c ( 2bc² + 7a)

Step-by-step explanation:

To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,

-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c

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The common elements are  -2, 2, 3, a³, b², c

The product of the common elements

= -12a³b²c

Hence, factorizing

-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)

4 0
3 years ago
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Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to b
Volgvan

Answer:

Step-by-step explanation:

First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)

I took away the one third I divided from it (46.50-15.50=31)

I got 31 dollars as my final answer.

Now Karim needs to buy the shirt for $31.

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3 years ago
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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9
elena55 [62]

Step-by-step explanation:

\frac{(x - 2) {}^{2} }{4}  +  \frac{(y + 5) {}^{2} }{9}  = 1

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

{c}^{2}  =  {a}^{2}  -  {b}^{2}

Here a^2 is 9, b^2 is 4.

{c}^{2}  = 9 - 4

{c}^{2}  = 5

c =  \sqrt{5}

So our foci is

(2, - 5 +  \sqrt{5} )

and

(2, - 5 -  \sqrt{5} )

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1 year ago
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Answer:            

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