Answer:
17 i think
Step-by-step explanation:
A line in point-slope form has the equation
y = mx + b
where m=slope (increase in y for unit increase in x), and
b=y-intercept (value of y where line cuts y-axis)
The original line is
y=(-1/2)x + 11
so
slope = m = -1/2
Any line perpendicular to a line with slope m has a slope of m1=-1/m
So the slope m1 of the required line
m1 = -1 / (-1/2) = +2
and the required line therefore has an equation of
y=2x+b
Knowing that the line passes through P1=(x1, y1)=(4,-8), we can find b using the point slope form of a line with slope m : (y-y1) = m(x-x1)
where m=+2 as found above.
Substituting values, m=+2, x1=4, y1= -8
y-(-8) = +2(x--4)
simplify
y+8 = 2x-8
=>
y=2x-16 (in point slope form)
Answer:
150 pi inches or 471.239 inches traveled
Step-by-step explanation:
First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.
You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel
The formula for circumference is 2(pi)(r) or (pi)(diameter)
We are given diameter, so let's find distance traveled for one rotation
pi(15 inches) = 15pi inches per rotation.
There are 10 rotations, so:
(15pi inches/rotation)(10 rotations) = 150pi inches travelled
150 x pi = 471.239 inches traveled
Answer:
C
Step-by-step explanation:
y-intercept represents the starting value, slope is the rate of change
slope is rise/run
Answer:
Circumference = 42
Area = 147 to the power of 2
Step-by-step explanation:
7x2=14 diameter
3x14=42 circumference
Area = 7x7x3 =147 to the power of 2
