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Setler [38]
3 years ago
6

You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:

3/10

Step-by-step explanation:

Total paper clip =6+3+4+2+5

=20

Probability of green = number of green/total

= 6/20

leaving in it's lowest term

probability of green=3/20

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identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form
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ANSWER

The required equation is:

9 {x}^{2}  - 25{y}^{2}  + 250y  - 85 0=0

EXPLANATION

The given equation is

9 {x}^{2}  - 25 {y}^{2}  = 225

Dividing through by 225 we obtain;

\frac{ {x}^{2} }{25}  -  \frac{ {y}^{2} }{9}  = 1

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

\frac{ {(x - 0)}^{2} }{25}  -  \frac{ {(y - 5)}^{2} }{9}  = 1

We multiply through by 225 to get;

9 {x}^{2}  - 25( {y - 5})^{2}  = 225

We now expand to get;

9 {x}^{2}  - 25( {y}^{2} - 10y + 25 )= 225

9 {x}^{2}  - 25{y}^{2}  + 250y  - 6 25 = 225

The equation of the hyperbola in general form is

9 {x}^{2}  - 25{y}^{2}  + 250y  - 85 0=0

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