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SashulF [63]
3 years ago
7

Solve the equation by completing the square. - 2x2 + x=0

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270
BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

\large \boxed{sin \theta = tan \theta cos \theta} \\  \large \boxed{tan^{2}  \theta + 1 =  {sec}^{2} \theta}

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

As we know, sec²θ = 1/cos²θ.

\large \boxed{sec \theta =   \frac{1}{cos \theta} } \\  \large \boxed{ {sec}^{2}  \theta =  \frac{1}{ {cos}^{2}  \theta} }

And thus,

\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

\large{cos \theta =   \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta =  -  \frac{ \sqrt{17} }{17}}

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

  • sinθ = -4sqrt(17)/17 or A choice.
4 0
3 years ago
Gracie has 1/2 of a cantaloupe that she wants to divide. How many 's 1/8 of a cantaloupe are there in 1/2 of a cantaloupe?
Julli [10]

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

6 0
3 years ago
I WILL GIVE BRAINLEST
jenyasd209 [6]

Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.

<h2>i HOPE IT'S HELP </h2>

8 0
3 years ago
11. What is the mass of 30,000 molecules? Express your answer in scientific notation. Mass of one molecule of oxygen = 5.3 x 10-
oksian1 [2.3K]

Answer:

1.59*10^-18

Step-by-step explanation:

if not sorry

4 0
3 years ago
Read 2 more answers
A train travels 600 kilometers in 1 hour. What is the trains velocity in meters/seconds?
bixtya [17]

Answer:

166.666667 m/ps

Step-by-step explanation:

600/60 will give us the amount of kilometers in a minute. 10 km/ph, now i'll divide more to find the seconds. 0.166666667 this is the amount of KILOMETERS in a second, we are trying to find in meters. multiply by 1000 and 166.666667. a fast fricking train if you ask me.

8 0
3 years ago
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