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Sidana [21]
2 years ago
11

What is the equation of a line that is parallel to the line represented by y=7/6x+ 4?

Mathematics
1 answer:
yawa3891 [41]2 years ago
5 0

it would be y = 7/6 + b. b could be any y-intercept on a graph

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A regular human hand contains 27 different bones. there are 206 bones altogether in the human body approximately what percent of
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Body: 206 bones

Percent of bones in hand of all human body is expressible by 27 divided by (/) 206 times (*) 100.

27/206=0.13*100=13%

Roughly 13% of bones in the body is in one human hand.

26% in 2 hands. Expressible by 13%*2.
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If f(x) = x + 8 and g(x) = x3, what is (gºf)(-5)?
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Answer:

Step-by-step explanation:

f(-5) = -5 + 8 = 3

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Sin(60-theta)sin(60+theta)​
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Step-by-step explanation:

\sin(60 -  \theta)  \sin(60 +  \theta)  \\  =  \{ \sin(60)  \cos( \theta)  -  \sin( \theta)   \cos(60)  \} \{ \sin(60)  \cos( \theta)  +  \cos(60)  \sin( \theta)  \} \\  =  \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  -  \frac{1}{2}  \sin( \theta)  \} \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  +  \frac{1}{2}  \sin( \theta)  \} \\  \\

from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

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3 years ago
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