Given parameters:
Equation of the line is y = -
+ 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = - ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Slope of line parallel to this line =
Slope of line perpendicular = negative inverse = -( -(
)) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2
Powers shared by the state and federal government are known as concurrent powers.
Answer:
6 drawers
Step-by-step explanation:
Total no. of shirts = 8×3
= 24
No. of drawers of shirts filled
= 24÷4
=6
The 22 students who answered juice would represent the smallest wedge in a pie chart.
Answer: ![17,649](https://tex.z-dn.net/?f=17%2C649)
Step-by-step explanation:
Given
The radius of the cycle is ![r=63\ cm](https://tex.z-dn.net/?f=r%3D63%5C%20cm)
Distance traveled by Paul is ![68.89\ km](https://tex.z-dn.net/?f=68.89%5C%20km)
Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.
![\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m](https://tex.z-dn.net/?f=%5CRightarrow%202%5Cpi%20r%5C%5C%5C%5C%5CRightarrow%202%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%2063%5C%5C%5C%5C%5CRightarrow%20396%5C%20cm%5C%20%5Ctext%7Bor%7D%5C%20%5Ctext%7B3.96%7D%5C%20m)
No of revolution made by wheel
![\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649](https://tex.z-dn.net/?f=%5CRightarrow%20n%3D%5Cdfrac%7B69.89%5Ctimes%201000%7D%7B3.96%7D%5C%5C%5C%5C%5CRightarrow%20n%3D17%2C648.9899%5Capprox%2017%2C649)