The correct answer is 1/6.
In order to get the correct answer, you have to give them the same denominator. To do so, start by multiplying the first fraction by 3/3
1/2 * 3/3 = 3/6
Now multiply the second fraction by 2/2
-1/3 * 2/2 = -2/6
Now we can subtract.
3/6 - 2/6 = 1/6
Answer: X=14
Step-by-step explanation:
The leg and hypothesis is the sum of 20. You already have 6. 6 from 20 is 14
Answer:
![\large\boxed{1.\ the\ slope\ is\ \dfrac{1}{4}}\\\boxed{2.\ y=3x-5}\\\boxed{3.\ (3, 6)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B1.%5C%20the%5C%20slope%5C%20is%5C%20%5Cdfrac%7B1%7D%7B4%7D%7D%5C%5C%5Cboxed%7B2.%5C%20y%3D3x-5%7D%5C%5C%5Cboxed%7B3.%5C%20%283%2C%206%29%7D)
Step-by-step explanation:
![\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_2}\\\\l\ \parallel\ k\iff m_1=m_2\\\\m-slope\\b-y-intercept\to(0,\ b)\\\\1.\\\\y=-4x+1\to m_1=-4\\\\m_2=-\dfrac{1}{-4}=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Ctext%7BLet%7D%5C%20k%3Ay%3Dm_1x%2Bb_1%5C%20%5Ctext%7Band%7D%5C%20l%3Ay%3Dm_2x%2Bb_2.%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_2%7D%5C%5C%5C%5Cl%5C%20%5Cparallel%5C%20k%5Ciff%20m_1%3Dm_2%5C%5C%5C%5Cm-slope%5C%5Cb-y-intercept%5Cto%280%2C%5C%20b%29%5C%5C%5C%5C1.%5C%5C%5C%5Cy%3D-4x%2B1%5Cto%20m_1%3D-4%5C%5C%5C%5Cm_2%3D-%5Cdfrac%7B1%7D%7B-4%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
![2.\\y=3x+2\to m_1=3\\\\m_2=3,\ b=-5\\\\y=3x-5](https://tex.z-dn.net/?f=2.%5C%5Cy%3D3x%2B2%5Cto%20m_1%3D3%5C%5C%5C%5Cm_2%3D3%2C%5C%20b%3D-5%5C%5C%5C%5Cy%3D3x-5)
![\text{Calculate}\ a\ \text{and}\ b:\\\\a=\dfrac{6-(-9)}{5}=\dfrac{15}{5}=3\\\\b=\dfrac{8-(-2)}{5}=\dfrac{10}{5}=2\\\\\text{Calculate the coordinates of a point:}\\\\x=-9+4a\to x=-9+4(3)=-9+12=3\\\\y=-2+4b\to y=-2+4(2)=-2+8=6](https://tex.z-dn.net/?f=%5Ctext%7BCalculate%7D%5C%20a%5C%20%5Ctext%7Band%7D%5C%20b%3A%5C%5C%5C%5Ca%3D%5Cdfrac%7B6-%28-9%29%7D%7B5%7D%3D%5Cdfrac%7B15%7D%7B5%7D%3D3%5C%5C%5C%5Cb%3D%5Cdfrac%7B8-%28-2%29%7D%7B5%7D%3D%5Cdfrac%7B10%7D%7B5%7D%3D2%5C%5C%5C%5C%5Ctext%7BCalculate%20the%20coordinates%20of%20a%20point%3A%7D%5C%5C%5C%5Cx%3D-9%2B4a%5Cto%20x%3D-9%2B4%283%29%3D-9%2B12%3D3%5C%5C%5C%5Cy%3D-2%2B4b%5Cto%20y%3D-2%2B4%282%29%3D-2%2B8%3D6)
Answer:
75?
Step-by-step explanation:
is there more to the question?
Answer:
![2.16 \times {10}^{ - 4}](https://tex.z-dn.net/?f=2.16%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)
Step-by-step explanation:
The lab technician is dividing a cell that has a diameter of
![4 .32 \times {10}^{ - 4}](https://tex.z-dn.net/?f=4%20.32%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)
The new cells has a diameter that is half of the diameter of the original cell.
The diameter of the new cell is given as:
![\frac{4.32 \times {10}^{ - 4} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4.32%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20%7D%7B2%7D%20)
Rewrite the numerator in standard notation:
![\frac{0.000432}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.000432%7D%7B2%7D%20)
![= 0.00216](https://tex.z-dn.net/?f=%20%3D%200.00216)
We rewrite in scientific notation to obtain:
![2.16 \times {10}^{ - 4}](https://tex.z-dn.net/?f=2.16%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%204%7D%20)