Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>

We can identify clearly that the slope of the line is
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:

<u>2) Determine the y-intercept of line S (b)</u>

Plug in the given point (-4,3) and solve for b

Subtract 1 from both sides to isolate b

Therefore, the y-intercept is 2. Plug this back into
:

I hope this helps!
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
1) Tanθ= opposite/adjacent
θ=Tan-1(9/7)
θ=52.125 = 52 degrees
2) Cosθ= adjacent/hypothesis
θ=Cos-1(5/12)
θ=65.376 = 65 degrees
Answer:


Step-by-step explanation:
We are given that

y(0)=-1


Taking integration on both sides then we get


Using formula


Substitute x=0 and y=-1



Substitute the value of C



By using quadratic formula


Hence, the solution 
When the solution is maximum then y'=0







3/2/3 - 1/1/4
= 3/8/12 - 1/3/12
= 2/5/12
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