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)
1. Hypothesis: If you were to walk to the movie theater depending on its distance from where you are traveling or walking from could or would be longer then it would if you biked or drove (using a car) there.
2. If today is not Thrusday, then tommmorw is not Friday.
3. Both are true
Answer:
Step-by-step explanation:
f(h(-2) =
h(-2)= 5(-2)= -10
f(-10)= -10 - 2 = -12
Answer:
141
Step-by-step explanation:
1. The volume of a cylinder is 
, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.
Solving Volume
Step 1: Plug in values
Step 2: Simplify.
Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Step-by-step explanation:
The surface area volume = l×b
or, 14×10 cm = 140 ans
