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3 years ago

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−3x−6+(−1) what is the answer

1 answer:

Ad libitum [116K]3 years ago

8 0

-3x - 7 is the answer

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Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

Which situation could not be represented by the inequality below:

Lorico [155]

<span>A. Kate buys a sled that costs more than $200. She pays $145 in cash and uses her credit card for the rest. Find z, the possible amt Kate charges to her credit card.</span>

7 0

3 years ago

Read 2 more answers

What is the length of BC in the right triangle below

Anna [14]

Answer:

<h2><em>1</em><em>5</em><em> </em><em>units</em></h2>

<em>The </em><em>length </em><em>of </em><em>BC </em><em>is </em><em>1</em><em>5</em><em> </em><em>units.</em>

<em>Solution,</em>

<em>Hypotenuse(</em><em>h)</em><em>=</em><em>?</em>

<em>perpendicular(</em><em>p)</em><em>=</em><em>1</em><em>2</em>

<em>base(</em><em>b)</em><em>=</em><em>9</em>

<em>Using </em><em>Pythagoras</em><em> </em><em>theorem</em><em>,</em>

<em> ${h}^{2} = {p}^{2} + {b}^{2} \\ or \: {h}^{2} = {12}^{2} + {9}^{2} \\ or \: {h}^{2} = 12 \times 12 + 9 \times 9 \\ or \: {h}^{2} = 144 + 81 \\ or \: {h}^{2} = 225 \\ or \: h = \sqrt{225} \\ or \: h = \sqrt{ {15}^{2} } \\ h = 15$ </em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em><em>.</em>

6 0

3 years ago

Read 2 more answers

Calculate the area of a circle with radius of 1m

PSYCHO15rus [73]

Hello :
the area of a circle is : A= πr²..........r : <span>radius
in this exercice : r =1 A = </span>π(1)² =π m²

6 0

3 years ago

Read 2 more answers

Mrs. Smith has only 52.50 to spend at Old Navy. She wants to buy a shirt for Max that costs $39, including tax, and some socks t

Fynjy0 [20]

Answer:

3

Step-by-step explanation:

Let's find how much money is left if Mrs.Smith buys a shirt.

52.50 - 39 = 13.50

13.50/4.50 = s

s = 3

Hope this helps :)

6 0

3 years ago