Answer:
The equation of the line would be y = -2/3x + 5
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
3x = 2y + 4
-2y = -3x + 4
y = 3/2x - 2
Now that we have a slope of 3/2, we know that the perpendicular slope is -2/3 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -2/3(x - 6)
y - 1 = -2/3x + 4
y = -2/3x + 5
Answer:
D
Step-by-step explanation:
We know that every second the bird's position lowers by 3(-3) so the equation for it is option D
Answer:
15.21= 15.2 when rounded
Step-by-step explanation:
the formula for finding the area of a circle with the diameter is
A= 1/4 × π ×d^2
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
