Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 3x + 5y = 11
We must first write the equation in the general equation above
So we have
5y = - 3x + 11
Divide both sides by 5
<h3>

</h3>
Comparing with the general equation above
Slope = - 3/5
Since the lines are parallel their slope are also the same
Slope of parallel line = - 3/5
So the equation of the line using point
(15, 4) and slope - 3/5 is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
The value of cos 0 = - 2 sqrt(85) / 85 = - 0.216930458
Step-by-step explanation:
cos 0 = ?
Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9
cos 0 = x/r
r=sqrt(x^2+y^2)
Replacing the known values:
r=sqrt( (-2)^2+(9)^2)
r=sqrt(4+81)
r=sqrt(85)
cos 0 = x/r
cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458
Rationalizing:
cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]
cos 0 = - 2 sqrt(85) / [sqrt(85)]^2
cos 0 = - 2 sqrt(85) / 85
Step-by-step explanation:
Given equations
2x + 5y = 6 .......i)
2x = 10 - 3y...... II)
Putting 2x = 10 - 3y in equation i
10 - 3y + 5y = 6
2y = 6 - 10
2y = - 4
y = - 4 / 2
y = - 2
Now putting y = - 2 in equation ii
2x = 10 - 3 * ( - 2)
2x = 10 + 6
2x = 16
x = 16 / 2
x = 8
So x = 8 and y = - 2
Hope it will help :)❤