Answer:
y=20
x=4
Step-by-step explanation:
Since you can plug the first 2 coordinates into the slope equation (
) you will get 4 for the slope so for the equation for the parallel line you would get y=4x+4 and since the x=4 you could plug that in and you would get y=20 and x=4
Answer:
EASY:
Step-by-step explanation:
-7 > -12
2 > -2
-5 < -3
|-9| is maybe 9.
|13| is 13.
|-5| is maybe 5.
Answer:
x= -2
Step-by-step explanation:
7x-3=4x-9
3x-3= -9
3x= -6
x= -2
a) Volume of Rectangular prism is ![\frac{36}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
b) Volume of cube is ![\frac{8}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
c) Volume of cube is ![\frac{1}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
d) Volume of Rectangular prism is ![\frac{6}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length= ![\frac{3}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%5C%2C%5C%2Ccm)
width= ![\frac{4}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%5C%2C%5C%2Ccm)
height = ![\frac{3}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%5C%2C%5C%2Ccm)
The formula used to find Volume of rectangular prism is:
![Volume\,\,of\,\,rectangular\,\,prism=length*width*height](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3Dlength%2Awidth%2Aheight)
Putting values:
![Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3D%5Cfrac%7B3%7D%7B5%7D%20%2A%5Cfrac%7B4%7D%7B5%7D%20%2A%5Cfrac%7B3%7D%7B5%7D%5C%5CVolume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3D%5Cfrac%7B36%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
So, Volume of Rectangular prism is ![\frac{36}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
Part b)
Volume of cube with side length of ![\frac{2}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5C%2C%5C%2Ccm)
The formula used to find Volume of cube is:
![Volume\,\,of\,\,cube=length^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3Dlength%5E3)
Putting value of length and finding volume:
![Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3Dlength%5E3%5C%5CVolume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3D%28%5Cfrac%7B2%7D%7B5%7D%29%5E3%5C%5C%20Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3D%5Cfrac%7B8%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
So, Volume of cube is ![\frac{8}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
Part c)
Volume of cube with side length of ![\frac{1}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%5C%2C%5C%2Ccm)
The formula used to find Volume of cube is:
![Volume\,\,of\,\,cube=length^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3Dlength%5E3)
Putting value of length and finding volume:
![Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3Dlength%5E3%5C%5CVolume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3D%28%5Cfrac%7B1%7D%7B5%7D%29%5E3%5C%5C%20Volume%5C%2C%5C%2Cof%5C%2C%5C%2Ccube%3D%5Cfrac%7B1%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
So, Volume of cube is ![\frac{1}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
Part d)
Volume of rectangular prism with
length= ![\frac{1}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%5C%2C%5C%2Ccm)
width= ![\frac{2}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%5C%2C%5C%2Ccm)
height = ![\frac{3}{5}\,\,cm](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%5C%2C%5C%2Ccm)
The formula used to find Volume of rectangular prism is:
![Volume\,\,of\,\,rectangular\,\,prism=length*width*height](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3Dlength%2Awidth%2Aheight)
Putting values:
![Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3](https://tex.z-dn.net/?f=Volume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3D%5Cfrac%7B1%7D%7B5%7D%20%2A%5Cfrac%7B2%7D%7B5%7D%20%2A%5Cfrac%7B3%7D%7B5%7D%5C%5CVolume%5C%2C%5C%2Cof%5C%2C%5C%2Crectangular%5C%2C%5C%2Cprism%3D%5Cfrac%7B6%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
So, Volume of Rectangular prism is ![\frac{6}{125}\,\,cm^3](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B125%7D%5C%2C%5C%2Ccm%5E3)
Keywords: Volume
Learn more about Volume at:
#learnwithBrainly
The true statements are:
2 - we can tell this by looking at the far right of the graph, as the slope is going downwards, therefore the leading coefficient must be negative
3 - this is a cubic, meaning its degree is 3
6 - by looking at the graph, we can see that there are 3 points where it cuts the x axis, hence 3 real zeros
7 - even multiplicity is where the curve "bounces off" the x axis and does not cross it. This curve have no zeros with even multiplicity
Hope this helped!