Which of the following is equivalent to tan 1-1)?<br> 究<br> 6<br> -<br> E |<br> 3<br> 4<br> ग<br> 2

What is an equation of a line that passes through the point (-3 -7) and it’s parallel to the line 2x-3y=24

andrew-mc [135]

Answer:

y=(-2/3)x-9

Step-by-step explanation:

1) first put the equation in terms of y. You should get y=-(2/3)x-8.

2) parallel lines have the same slope so the slope for this line and the answer should be the same

3) using the form y=mx+b plug (-2/3) in as the slope or m

4) plug the point in to get your b value. you should have -7 =((-2/3)•(-3))+b

5) isolate the variable b and plug in your answer to the equation.

6 0

2 years ago

A sample of n = 5 scores has a mean of m = 8. one new score is added to the sample and the new mean is calculated to be m = 9. w

Yuri [45]

If the 5 scores have a mean of 8, then their total sum would be 8*5 = 40

Now if one score if added (let's call this score x), there are 6 scores and the mean changes to 9, thus:
(40 + x)/6 = 9
40 + x = 54
x = 14

6 0

2 years ago

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Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5

Korvikt [17]

Answer:

$\huge \boxed{\red{ \boxed{ - \cos(x) + C}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

integration
PEMDAS

<h3>tips and formulas:</h3>

$\tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) }$
$\sf \displaystyle \int \sin(x) \: dx = - \cos(x) + C$

<h3>let's solve:</h3>

$\sf \: rewrite \: \tan( \theta) \: as \: \dfrac{ \sin( \theta) }{ \cos( \theta) } : \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cos(x) } \cos(x) \: dx \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cancel{\cos(x) }} \: \cancel{ \cos(x)} \: dx \\ = \displaystyle \int \: \sin(x) \: dx$
$\sf \: use \: the \: formula : \\ \sf \displaystyle - \cos(x)$
$\sf add \: constant : \\ - \cos(x) + C$

$\text{And we are done!}$

6 0

2 years ago

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Convert into decimals (use your calculator): a) 6/38 b) 45/55 c) 4/28 d) 35/28 e) 1030/2030

Delicious77 [7]

Answer:

$a.\hspace{3} \frac{6}{38} = 0.15789474\\\\b.\hspace{3} \frac{45}{55} = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 0.14285714\\\\d.\hspace{3} \frac{35}{28} = 1.25\\\\e.\hspace{3} \frac{1030}{2030} = 0.50738916$

Step-by-step explanation:

Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:

$a.\hspace{3} \frac{6}{38} = 6\div38 = 0.15789474\\\\ b.\hspace{3} \frac{45}{55} = 45\div55 = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 4\div28 = 0.14285714\\\\ d.\hspace{3} \frac{35}{28} = 35\div28 = 1.25\\\\ e.\hspace{3} \frac{1030}{2030} = 1030\div2030 = 0.50738916$

3 0

3 years ago

Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?

Schach [20]

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

4 0

2 years ago

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Which of the following is equivalent to tan 1-1)? 究 6 - E | 3 4 ग 2