3 years ago

In a pet store, the small fishbowl holds up to 23

Mathematics

1 answer:

kvv77 [185]3 years ago

4 0

Answer: the large fishbowl hold up to 46 gallons of water

Step-by-step explanation:

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The sum of 9 and a number is less than 12. Which of the following

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Answer:

9+x<12

Step-by-step explanation:

add 9 to an unknown number.

9+x

use the < less than symbol (instead of an equal sign) and write 12.

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Answer: no, the function has no real number zeros.

Step-by-step explanation:

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3 years ago

It’s almost time for Prom! You want to book a limo and are trying to figure out how much it will cost. The limo company charges

Bogdan [553]

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Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1

Semenov [28]

ANSWER

$- \cos^{2} x$

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

$(x + 1)(x - 1) = {x}^{2} - 1$

This implies that,

$( \sin \: x + 1)( \sin \: x - 1) = \sin^{2} x - 1$

We can factor -1 on the right hand side to get,

$( \sin \: x + 1)( \sin \: x - 1) = - (1 - \sin^{2} x )$

Note that from the Pythagorean Identity

$1 - \sin^{2} x = \cos^{2} x$

We apply this identity to obtain:

$( \sin \: x + 1)( \sin \: x - 1) = - \cos^{2} x$

The correct choice is B

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3 years ago

Find the value of x. Give your answer in simplest radical form.

yarga [219]

Using the pythagoras theorem for a right-angled triangle:-

x^2 = 13*2 - 9^2 = 88

x = sqrt 88 = 2 sqrt 22

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2 years ago