Answer:
-4/1
Step-by-step explanation:
To find the slope, first plot the two points we are given on the provided coordinate plain. Then using rise/run (slope) find the distance between the two points going up and over or rising and running. So we go up 4 and over 1, this means the slope is 4/1. Since the line we just graphed is going top left towards bottom right, it is negative.
Pic included...
I hope this helps u!! :)
Answer:
A.
B.Therefore the solution is defined on the interval:
6≤ x ≤ +∞
Step-by-step explanation:
Given differential equation is
Integrating both sides:
........(1)
Given y(0)= 6
it means y=0 when x=6
Putting x=6 and y=0 in the equation (1)
Equation (1) become:
Therefore
(B)
The quantity under root must greater than or equal to zero.
Therefore,
When x≥0 then the value of is real other wise the value of
is imaginary.
Therefore the solution is defined on the interval:
6≤ x ≤ +∞
The angle θ to the diameter that she should row is; θ = 56.44°
<h3>How to find the angle of an arc?</h3>It should be noted that;
a = 90° - θ. Thus;
b = 2θ
For any circle, the angle subtended (in radians) is equal to the arc length (d_w ) divided by the radius (1.2). Thus; d_w = 4θ .
The time required to walk this distance is given by;
t_w = 4θ/5 = 0.8θ
The distance rowed is given by: cos θ = d_r/2.4
d_r = 2.4cos θ while the time needed for it is;
t_r = 2.4cos θ/3.5
t_r = 0.6857θ
Thus, total time is;
T(θ) = t_r + t_w
T(θ) = 0.6857θ + 0.8θ
T(θ) = 1.4857θ
Now we need the critical numbers:
T'(θ) = 1 - 1.2 sin θ
At T'(θ) = 0, we have;
1 - 1.2 sin θ = 0
1/1.2 = sin θ
θ = sin⁻¹(1/1.2)
θ = 56.44°
Read more about angle of an Arc at; brainly.com/question/2005046
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