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Jlenok [28]
3 years ago
6

Find the equation of the line with​ y-intercept 5 and slope 5/9

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0

The equation of a straight line can be written by the equation <u><em>y = mx + b</em></u>, where m is the slope and b is the y-intercept.

Substitute in your values:

y = 5/9x + 5

Therefore the equation of your line with the information given would be:

<em>y = 5/9x + 5</em>

konstantin123 [22]3 years ago
3 0

Answer:

y=5/9x+5

Step-by-step explanation:

The formula is y=mx+b with m being the slope and b being the y intercept so just plug in the values.

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If m1=35° and m2=75°, what is m3?​
Sveta_85 [38]

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

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How to find the missing side of a triangle
Akimi4 [234]

Answer:

All sides of a triangle should equal 180 degrees, so just add up the given sides and subtract them from 180

Step-by-step explanation:

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PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!
pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
  • \tan{\theta} = \pm \frac{\sqrt{2}}{4}

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

\sin{\theta} = \frac{1}{3}

Hence, applying the identity, the cosine is given as follows:

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

\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2

\cos^2{\theta} = 1 - \frac{1}{9}

\cos^2{\theta} = \frac{8}{9}

\cos{\theta} = \pm \sqrt{\frac{8}{9}}

\cos{\theta} = \pm \frac{2\sqrt{2}}{3}

The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}

\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}

\tan{\theta} = \pm \frac{\sqrt{2}}{4}

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0
2 years ago
What is the soulution of -(-5-6x) = 4(5x+3)?
Fynjy0 [20]
You have to distribute the parentheses first. Since there is a negative sign in front of the parentheses, it counts as a negative 1. After you distribute you should get: -5+6x=20x+12, but that is not your final answer. After you add like terms: 17x=-17. Divide 17 on both sides: x=-1. X=-1 is your final answer.
4 0
4 years ago
Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck was in the week tot
GrogVix [38]

Answer:

12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

So

6500 - 1000 = 5500

So....her commission as a percentage of sales  = 5500/ 45000 = about 12.2%

3 0
4 years ago
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