3 years ago

Draw a quick picture to find the sum or difference

Mathematics

1 answer:

MrRa [10]3 years ago

5 0

For sum u add and for difference you subtract

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Find the geometric mean for 8 and 12

Lynna [10]

Answer:

4√6 or 9.798 to the nearest thousandth.

Step-by-step explanation:

This is √(8*12)

= √96

= √16*√6

= 4√6.

5 0

3 years ago

What is the length of the conjugate axis?

Lana71 [14]

ANSWER

The length of the conjugate axis is 6 units.

EXPLANATION

The given hyperbola has equation:

$\frac{(x - 1)^{2} }{25} - \frac{ {(y + 3)}^{2} }{9} = 1$

We can rewrite this equation in the form:

$\frac{(x - 1)^{2} }{ {5}^{2} } - \frac{ {(y + 3)}^{2} }{ {3}^{2} } = 1$

We compare this equation to:

$\frac{(x - h)^{2} }{ {a}^{2} } - \frac{ {(y - k)}^{2} }{ {b}^{2} } = 1$

This implies that;

$a = 5$

and

$b = 3$

The length of the conjugate axis of a hyperbola is

$= 2b$

Substitute b=3 to obtain;

$= 2 \times 3$

$= 6$