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Karo-lina-s [1.5K]

3 years ago

10

Factor the trinomial below.

1 answer:

ivann1987 [24]3 years ago

6 0

Answer: Choice C. (x-7)(x-8)

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Find two numbers that...
* Multiply to 56 (last term)
* Add to -15 (middle coefficient)

Those two numbers are -7 and -8. So that's why x^2-15x+56 factors to (x-7)(x-8)

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EleoNora [17]

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3 years ago

When drawn in standard position, an angle a has a terminal ray that lies in the second quadrant and whose sine is equal to 9/41.

Semenov [28]

Answer:

$\frac{40}{41}$

Step-by-step explanation:

We have the angle in standard post has a sine ratio of

$\frac{9}{41}$

This means the opposite side length of the corresponding right triangle is 9 units and the hypotenuse is 41 units.

Using Pythagoras Theorem, the adjacent side length can be found using:

${x}^{2} + {9}^{2} = {41}^{2}$

This implies that:

${x}^{2} = {41}^{2} - {9}^{2}$

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$x = \pm \sqrt{1600}$

$x = \pm40$

The cosine ratio is adjacent over hypotenuse.

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3 years ago

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Step-by-step explanation: Love ya ;)

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