Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
- We also know a line that is perpendicular to the x-axis is basically a vertical line.
- As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.
Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
(3x - 4)(2x^2 + 2x - 1) = 3x(2x^2 + 2x - 1) - 4(2x^2 + 2x - 1) = (6x^3 + 6x^2 - 3x) - (8x^2 + 8x - 4) = 6x^3 + 6x^2 - 3x - 8x^2 - 8x + 4 = 6x^3 - 2x^2 - 11x + 4
Answer:
Step-by-step explanation:
They want you to see how radius is important. Just remember that one radian is one radius, that should help you see why radius is important.
They ask for the unit circle , that is a circle of one unit for the radius, which makes it super easy to calculate things for it, they ask what is the area, which is that famous formula, π
, then they ask what's its circumference. which is that other famous formula 2πr
so to go all the way around a circle of one unit radius, it's 2π exactly or about 6.28..... units, call it meters, or feet or inches, it doesn't mater here.
the size of the circle doesn't matter here either, b/c we are using the radius , that relaationship doesn't change , all circles, what ever size , have this same relationship between the radius and radians. :P this is handy.
Answer:
30% of the sodas were regular sodas
Step-by-step explanation:
Add 21 and 49 to get the total number of sodas and 21+49=70. To get the percentage, divide 21 by 70 (21÷70) is 0.3 or 30%.
To check, do 30% (or 0.3) • 70 and you will get 21.
To find the mean absolute deviation, you have to find the mean first.
1+1+2+2+2+4=12
12 divided by 6 numbers=2 The mean of that is two
Next, you have to find the amount the original numbers are away from the mean.
1= 1 away from 2 2=0 away from 2 4=2 away from 2
You should get: 1,1,0,0,0,2 Next, you have to find the mean of the new set of numbers. 1+1+0+0+0+2=4
4 divided by 6= 2/3
The mean absolute deviation is 2/3
