Answer:
![y=-\frac{3}{2}x-\frac{9}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D)
Step-by-step explanation:
Let the equation of the perpendicular line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph, slope of the line passing through (0, -1) and (3, 1),
m' =
m' = ![\frac{1+1}{3-0}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B1%7D%7B3-0%7D)
m' = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
To get the slope (m) of this line we will use the property of perpendicular lines,
m × m' = (-1)
m ×
= -1
m = ![-\frac{3}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D)
Equation of the perpendicular line will be,
![y=-\frac{3}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2Bb)
x-intercept of the line is (-3) therefore, point on the line is (-3, 0)
0 = ![-\frac{3}{2}(-3)+b](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D%28-3%29%2Bb)
b = ![-\frac{9}{2}=-4.5](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B2%7D%3D-4.5)
Equation of the line will be,
![y=-\frac{3}{2}x-\frac{9}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B2%7D)
Cylinder is 10 meters wide, so its diameter is 10 meters. You get radius of it by dividing 10 by 2, which equals 5.
As you count volume of cylinder from that equation
You get an equation to count height:
h≈3.82 meters
Answer:
3.6 mph
Step-by-step explanation:
The total distance was 6 mi. and the total time was 5/3 hr.
6 ÷ 5/3 = 6(3/5) = 18/5 = 3.6 mph
Answer:
1869.44
Step-by-step explanation:
The 8% of 2032 is 162.56
2032-162.56=1869.44
brainliest if right pls
Answer:
1.56e+16
Step-by-step explanation:
You have to multiply 2,600 times 6,000,000,000,000 and that equals 1.56e+16.