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REY [17]
2 years ago
13

Please help. Cleary show what the slope and y-intercept are for each problem. An explanation would be nice, but I'm not going to

require it.

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
6 0

Answer:

7: Slope: -2/3

8: y-intercept: (0,6)

9: Slope: -2

10: y-intercept: (0,4)

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Sin(60-theta)sin(60+theta)​
ehidna [41]

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) }}

3 0
3 years ago
Read 2 more answers
Giving 25 points for whoever answers it with a complete explanation .. ASAP
MAXImum [283]
No, it is not a function.
Since all the lines have been drawn in the grid line do not have any connection between them even a point in common.
I hope this has been useful for you.
8 0
2 years ago
Read 2 more answers
Help me pleaseeeeeeeeeeede
nekit [7.7K]
What does the spaces in between the numbers mean
6 0
2 years ago
1. What is the constant of proportionality, k,<br><br><br> of Kevin's wage? Greg's? Savannah's?
Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is k=\$8.25\ per\ hour

Part b) The constant of proportionality of Greg's wage is k=\$9.00\ per\ hour

Part c) The constant of proportionality of Savannah's wage is k=\$9.50\ per\ hour

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

<em>Kevin's wage</em>

Take any point from the table

I take the point (2,16.50)

k=\frac{16.50}{2}=\$8.25\ per\ hour

<em>Greg's wage</em>

Take any point from the table

I take the point (3,27.00)

k=\frac{27.00}{3}=\$9.00\ per\ hour

<em>Savannah's wage</em>

Take any point from the table

I take the point (2,19.00)

k=\frac{19.00}{2}=\$9.50\ per\ hour

3 0
3 years ago
I hate math but it doesn't mean i'll fail the year :D
natita [175]

Answer:

the answer is c

Step-by-step explanation:

it just is lol

6 0
2 years ago
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