Well four plus seven would equal seven tenths.
Answer:
Option 3 - ![y=-6x+28](https://tex.z-dn.net/?f=y%3D-6x%2B28)
Step-by-step explanation:
Given : Perpendicular to the line
; containing the point (4,4).
To Find : An equation for the line with the given properties ?
Solution :
We know that,
When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.
Slope of the equation ![x - 6y = 8](https://tex.z-dn.net/?f=x%20-%206y%20%3D%208)
Converting into slope form
,
Where m is the slope.
![y=\frac{x-8}{6}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx-8%7D%7B6%7D)
![y=\frac{x}{6}-\frac{8}{6}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B6%7D-%5Cfrac%7B8%7D%7B6%7D)
The slope of the equation is ![m=\frac{1}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B6%7D)
The slope of the perpendicular equation is ![m_1=-\frac{1}{m}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7Bm%7D)
The required slope is ![m_1=-\frac{1}{\frac{1}{6}}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B6%7D%7D)
![m_1=-6](https://tex.z-dn.net/?f=m_1%3D-6)
The required equation is ![y=-6x+c](https://tex.z-dn.net/?f=y%3D-6x%2Bc)
Substitute point (x,y)=(4,4)
![4=-6(4)+c](https://tex.z-dn.net/?f=4%3D-6%284%29%2Bc)
![4=-24+c](https://tex.z-dn.net/?f=4%3D-24%2Bc)
![c=28](https://tex.z-dn.net/?f=c%3D28)
Substitute back in equation,
![y=-6x+28](https://tex.z-dn.net/?f=y%3D-6x%2B28)
Therefore, The required equation for the line is ![y=-6x+28](https://tex.z-dn.net/?f=y%3D-6x%2B28)
So, Option 3 is correct.
Answer:
x = 2
Step-by-step explanation:
How to find "x"
3x = 4 + 2(3 - x) *Remove the parentheses*
3x = 4 + 6 - 2x *Calculate*
3x = 10 - 2x *Move the variable to the left*
3x + 2x = 10 *Collect the terms*
5x = 10 *Divide both sides*
x = 2
I hope the helped!!!
In order for the sales team to give the impression to their company that there was a large increasse in sales over a six month time period, they need to create a graph that have time period as the label of their x-axis or the horizontal label and sales as the label of their y-axis or the vertical label.
Answer:
True
Step-by-step explanation:
The variance of data measures how much the data varies.