9.09 I'm pretty sure this it
Answer:
or 4p^2
Step-by-step explanation:
Combine like terms:
4 x 4 and p x p
4^2 and p^2
4p^2
Answer:
a. True
Step-by-step explanation:
The frequency distribution is a summary of the gathered data set, in which the interval of values is divided into classes.
A requirement for a frequency distribution is for the classes to be mutually exclusive and exhaustive. That is, each individual, object, or measurement in the data set must belong to <em>one and only one</em> class.
Then, we can conclude that each individual, object, or measurement must appear in at least one (in fact, only in one) category or class.
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
![3x - 4y = 6](https://tex.z-dn.net/?f=3x%20-%204y%20%3D%206)
Subtract sides -3x
![- 3x + 3x - 4y = - 3x + 6](https://tex.z-dn.net/?f=%20-%203x%20%2B%203x%20-%204y%20%3D%20%20-%203x%20%2B%206)
![- 4y = - 3x + 6](https://tex.z-dn.net/?f=%20-%204y%20%3D%20%20-%203x%20%2B%206)
Divided sides by -4
![\frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204%7D%7B%20-%204%7Dy%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B%20-%204%7Dx%20%2B%20%20%5Cfrac%7B6%7D%7B%20-%204%7D%20%5C%5C%20%20%20%20)
![y = \frac{3}{4}x - \frac{3}{2} \\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20%20%20)
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
![slope = \frac{3}{4} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%20%20)
_________________________________
We have following equation to find the point-slope form of the linear functions.
![y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\](https://tex.z-dn.net/?f=y%20-%20y%28given%20%5C%3A%20point%29%20%3D%20slope%20%5Ctimes%20%28x%20-%20x%28g%20%5C%3A%20p%29%20%5C%3A%20%29%20%5C%5C%20)
Now just need to put the slope and the given point in the above equation.
![y - 6 = \frac{3}{4} \times (x - 4) \\](https://tex.z-dn.net/?f=y%20-%206%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20%28x%20-%204%29%20%5C%5C%20%20)
Multiply sides by 4
![4(y - 6) = 3(x - 4)](https://tex.z-dn.net/?f=4%28y%20-%206%29%20%3D%203%28x%20-%204%29)
![4y - 24 = 3x - 12](https://tex.z-dn.net/?f=4y%20-%2024%20%3D%203x%20-%2012)
Plus sides 24
![4y - 24 + 24 = 3x - 12 + 24](https://tex.z-dn.net/?f=4y%20-%2024%20%2B%2024%20%3D%203x%20-%2012%20%2B%2024)
![4y = 3x + 12](https://tex.z-dn.net/?f=4y%20%3D%203x%20%2B%2012)
Subtract sides -3x
![4y - 3x = 3x - 3x + 12](https://tex.z-dn.net/?f=4y%20-%203x%20%3D%203x%20-%203x%20%2B%2012)
![4y - 3x = 12](https://tex.z-dn.net/?f=4y%20-%203x%20%3D%2012)
And we're done....♥️♥️♥️♥️♥️