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3 years ago

Factorise the following

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

(a)

2x + 10 ← factor out 2 from each term

= 2(x + 5)

(b)

5x - 15 ← factor out 5 from each term

= 5(x - 3)

(c)

8x + 6 ← factor out 2 from each term

= 2(4x + 3)

(d)

12x - 8 ← factor out 4 from each term

= 4(3x - 2)

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4 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

$b = 3$

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Substitute b=3 to obtain;

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5 0

4 years ago

Read 2 more answers

Does the following set of coordinates represent a function? *

serg [7]

Answer:

no because the x value -2 has two corasponding y values

Step-by-step explanation:

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3 years ago

Find all numbers for which the rational expression is undefined

Dafna1 [17]

Answer:

{-3, 8}

Step-by-step explanation:

This rational expression is undefined wherever the denominator is 0.

Thus, our task is to determine the roots of x² - 5x - 24:

This expression factors as follows: (x - 8)(x + 3) = 0

Setting x - 8 = 0 and solving for x yields x = 8.

Similarly, x + 3 = 0 yields x = -3.

This rational expression is undefined for {-3, 8}.

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3 years ago

Factorise the following​

Factorise the following