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3 years ago

Write X^2+4x+5 in the form (x+a)^2-b

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

(x + 2)² + 1

Step-by-step explanation:

Given

x² + 4x + 5

To express in vertex form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

= x² + 2(2)x + 4 - 4 + 5

= (x + 2)² + 1 ← in vertex form

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Someone please help me with this lol… have no idea what I’m doing

Sholpan [36]

Given:

$\cos \theta =\dfrac{3}{5}$

$\sin \theta$

To find:

The quadrant of the terminal side of $\theta$ and find the value of $\sin\theta$ .

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

$\cos \theta =\dfrac{3}{5}$

$\sin \theta$

Here cos is positive and sine is negative. So, $\theta$ must be lies in Quadrant IV.

We know that,

$\sin^2\theta +\cos^2\theta =1$

$\sin^2\theta=1-\cos^2\theta$

$\sin \theta=\pm \sqrt{1-\cos^2\theta}$

It is only negative because $\theta$ lies in Quadrant IV. So,

$\sin \theta=-\sqrt{1-\cos^2\theta}$

After substituting $\cos \theta =\dfrac{3}{5}$ , we get

$\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}$

$\sin \theta=-\sqrt{1-\dfrac{9}{25}}$

$\sin \theta=-\sqrt{\dfrac{25-9}{25}}$

$\sin \theta=-\sqrt{\dfrac{16}{25}}$

$\sin \theta=-\dfrac{4}{5}$

Therefore, the correct option is B.

6 0

3 years ago

Bengus the expert blacksmith forged 32 swords from copper, twice as many swords from iron, and 19 swords from mythril. Estimate

Anna35 [415]

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril. Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

<em>Hope it helps <3</em>

8 0

3 years ago

Can someone please help me with this?

Anettt [7]

Answersorry

Step-by-step explanation:sorry idk

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3 years ago

Use the given information and a calculator to find to the nearest tenth of a degree

Schach [20]

Answer:

111.4 degrees

Step-by-step explanation:

Let's write cos x = -0.3646. Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character: cos Ф = -0.3646.

If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.

-1

Type this into your calculator: cos -0.3646. Result: 1.934 (radians)

This converts to degrees as follows:

1.934 rad 180 degr

--------------- * --------------- = 111.4 degrees. Note that this angle is in QIII.

1 π rad

8 0

3 years ago

Plzzzzzzzz help for a brainly

ANTONII [103]

Answer:

246

Step-by-step explanation:

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3 years ago