Answer: ![\text{Slope}=\Large\boxed{Unde fined}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5CLarge%5Cboxed%7BUnde%20fined%7D)
Step-by-step explanation:
<u>Given information</u>
![(x_1,~y_1)=(-8,~-1)](https://tex.z-dn.net/?f=%28x_1%2C~y_1%29%3D%28-8%2C~-1%29)
![(x_2,~y_2)=(-8,~11)](https://tex.z-dn.net/?f=%28x_2%2C~y_2%29%3D%28-8%2C~11%29)
<u>Given the formula for the slope</u>
![\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cdfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
<u>Substitute values into the formula</u>
![\text{Slope}=\dfrac{(11)-(-1)}{(-8)-(-8)}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cdfrac%7B%2811%29-%28-1%29%7D%7B%28-8%29-%28-8%29%7D)
<u>Simplify the numerator and the denominator</u>
![\text{Slope}=\dfrac{11+1}{-8+8}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cdfrac%7B11%2B1%7D%7B-8%2B8%7D)
![\text{Slope}=\dfrac{12}{0}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cdfrac%7B12%7D%7B0%7D)
<u />
<u>Simplify the fraction</u>
![\text{Since any number divided by 0 is impossible to find, therefore: }](https://tex.z-dn.net/?f=%5Ctext%7BSince%20any%20number%20divided%20by%200%20is%20impossible%20to%20find%2C%20therefore%3A%20%7D)
![\text{Slope}=\Large\boxed{Unde fined}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5CLarge%5Cboxed%7BUnde%20fined%7D)
Hope this helps!! :)
Please let me know if you have any questions
Slopes of perpendicular lines are NEGATIVE RECIPROCAL to each other
namely, if say one has a slope of a/b then the other will have a slope of
![\bf slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}](https://tex.z-dn.net/?f=%5Cbf%20slope%3D%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20negative%5Cimplies%20%20-%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7Ba%7D)
what the dickens does that mean?
well, it means that their product is
![\bf \cfrac{a}{b}\cdot \cfrac{-b}{a}\implies -1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Ba%7D%7Bb%7D%5Ccdot%20%5Ccfrac%7B-b%7D%7Ba%7D%5Cimplies%20-1)
so... in this case, one has a slope of 3/4 and the other has a slope of d/2
thus
This question was already answered this is what the other person got.
I think the awnser would be 2/28
Answer:
Possible dimensions are
and ![h=16\,\,cm\,,\,r=2\,\,cm](https://tex.z-dn.net/?f=h%3D16%5C%2C%5C%2Ccm%5C%2C%2C%5C%2Cr%3D2%5C%2C%5C%2Ccm)
Step-by-step explanation:
Given:
Volume of a cylinder is ![64\pi\,\,cm^3](https://tex.z-dn.net/?f=64%5Cpi%5C%2C%5C%2Ccm%5E3)
To find: Dimensions of a cylinder
Solution:
Let
denote height of a cylinder.
Volume of a cylinder = ![\pi r^2h](https://tex.z-dn.net/?f=%5Cpi%20r%5E2h)
Therefore,
![64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h](https://tex.z-dn.net/?f=64%5Cpi%3D%5Cpi%20r%5E2h%5C%5C64%3Dr%5E2h%5C%5C4%5E2%5C%2C4%3Dr%5E2h)
One possible dimension can be
.
Also,
can be written as ![16(2^2)=hr^2](https://tex.z-dn.net/?f=16%282%5E2%29%3Dhr%5E2)
So, another possible dimension can be ![h=16\,\,cm\,,\,r=2\,\,cm](https://tex.z-dn.net/?f=h%3D16%5C%2C%5C%2Ccm%5C%2C%2C%5C%2Cr%3D2%5C%2C%5C%2Ccm)