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3 years ago

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10. ''Saving electricity in our homes is saving our money.'' Mention five ways of saving energy.

1 answer:

Elis [28]3 years ago

7 0

Answer:

Some ways of saving energy include : turn off the fan / lights when you leave a room, hang your clothes out to dry, don't run your dishwasher half full, turn off the water when your not using it, don't stand in front of an open refrigerator door. Hope this helps :)

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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

tamaranim1 [39]

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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