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2 years ago

the sum of a negative number, ¼ of the negative number, and 7/16 off the negative number = -13½. what is the negative number?

1 answer:

6 0

X - the number

$x+\frac{1}{4}x+\frac{7}{16}x=-13 \frac{1}{2} \\
\frac{16}{16}x+\frac{4}{16}x+\frac{7}{16}x=-\frac{27}{2} \\
\frac{27}{16}x=-\frac{27}{2} \\
x=-\frac{27}{2} \times \frac{16}{27} \\
x=-\frac{1}{2} \times \frac{16}{1} \\
x=-8$

The number is -8.

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Answer:

The first option is correct: Angle 2 through 5

Step-by-step explanation:

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angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.

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1 year ago

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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