Answer:
Step-by-step explanation:
(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)
![= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-20-%5B-4%5D%7D%7B17-19%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-20%2B4%7D%7B17-19%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-16%7D%7B-2%7D%5C%5C%5C%5C%3D%208)
m = 8
Parallel lines have same slope.
Parallel slope = 8
Slope of perpendicular line = 
Perpendicular slope = 
Answer:
13m
Step-by-step explanation:
because i use calculator soup
Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6
Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.
x^2 + 9.5^2 = 19.3^2
x^2 + 90.25 = 372.49
x^2 = 372.49 - 90.25
x^2 = 282.24
x = √282.24
x = 16.8
Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h
r = 1/2 the diameter = 16.8/2 = 8.4
using 3.14 for pi
Volume = 3.14 * 8.4^2 * 9.5
V = 3.14 * 70.56 * 9.5
v = 3.14 * 670.32
v = 2104.8 cubic meters
Rational numbers.
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