Answer:
The selling price is 3/2 of the original price
Step-by-step explanation:
Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.
System:
<em>d= 5(0.75-t)</em>
<em>d= 20t</em>
<em>20t = 3.75 -5t</em>
Define Variables:
<em>d = how far Carol Skied</em>
<em>t = time it took Carol to go up/down</em>
Solve:
20t = 3.75 -5t
20t + 5t = 3.75 -5t + 5t
25t = 3.75
25t/25 = 3.75/25
t = 0.15
<u><em>Now we plug in the time into the Distances:</em></u>
20t = 3.75 - 5t
20(0.15) = 3.75 - 5(0.15)
3 = 3.75 - 0.75
3 = 3
Solution as Sentence:
<u><em>Carol Skied 3 miles</em></u>
<u><em /></u>
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
This is the equation of the given line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is
step 3
Find the equation of the line in point slope form
we have
substitute
step 4
Convert to slope intercept form
isolate the variable y
