Answer:
A = 3, B = 10
Step-by-step explanation:
= 
= 
× 
× 
= 3i
in the form Ai
with A = 3 and B = 10
Answer&Step-by-step explanation:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
You can see also in the picture i post
Answer:
The perpendicular equation is y = -3x -21
Step-by-step explanation:
Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.
To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.
First let's simplify the equation.
-5 + x = 3y (divide by 3 on both sides to get y by itself)
-5/3 + 1/3x = y or y = 1/3x + 5/3
The exact opposite of this slope would be -3.
Now plug in the point you were given so that we can find the y-intercept.
6 = -3(-9) + b (b = y-intercept)
6 = 27 + b (subtract 27 on both sides)
-21 = b
So the perpendicular equation looks like this.
y = -3x -21
Answer:
Area = πr², where "r" is some distance "y" and/or the function "(1/6)x"; depending on the situation
Step-by-step explanation:
If I'm picturing this correctly, you'll have conical shape after revolving the function about the x-axis. If you took some generic slice and wanted to find the area of the resulting cross-section, then you would have a circle whose radius is some arbitrary value of the line that matches the slice.
For example:
y = (1/6)x right?
If you took a slice at x = 2, then the radius of the resulting cross-sectional circle would be equal to y = (1/6)•2 =1/3.
From here you just plug it into the area of a circle, πr², to get an area of π/3.
Except with an integral you need to take all the points on the interval, so the radius comes out to be the function itself.
Assuming your integral is in terms of dx, r=y. But in order to integrate in terms of dx you must replace "y" with its function (1/6)x. So ultimately r=(1/6)x and Area = π(1/6)x.
There will be eight marbles on the 9th line
