Answer:
Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side
As it passes through the point
So
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point
So unit vector will be
Here, we are missing the slope and the y intercept.
Lets look for the y intercept first.
Where does it cross the y axis? At 3!!
3 is the y intercept.
Now, find the slope by using the slope formula.
(0,3) and (2,1)
m = 1-3/2-0 = -2/2 = -2/2 = -1
m = -1
Okay, so we found our slope, now just write the equation.
Answer: y = -1x + 3
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression
We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
Therefore, the approximate distance to the horizon for the person will be 64.81 km
She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads
Answer:
2.5 miles
Step-by-step explanation:
The relation between time, speed, and distance is ...
distance = speed × time
We can define t to be Stanley's swimming time. Then t+0.5 was his running time, and 2(t+0.5) was his biking time. His total distance covered is ...
64 = 9(t +0.5) +16(2(t +0.5)) +2.5(t)
64 = 43.5t +20.5 . . . . . . . simplify
43.5 = 43.5t . . . . . . . . . subtract 20.5
t = 1 . . . . . . . . . . . . . . divide by the coefficient of t
Stanley swam for 1 hour, so the distance he covered while swimming was ...
(2.5 mi/h)(1 h) = 2.5 mi
Stanley covered 2.5 miles while swimming.
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<em>Additional comment</em>
Stanley ran for 1.5 hours, covering 9×1.5 = 13.5 miles. He biked for 3 hours, covering 16×3 = 48 miles. His total distance was 2.5 +13.5 +48 = 64 miles, as given.