Y to the power of 2 over 2x to the power of 3
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Explanation:</h2><h2>
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Hello! remember that you have to write complete questions in order to get good and exact answers. Here you haven't provided any table so I'll assume a table, which is shown below:
![\begin{array}{cc}x & y\\0 & 8\\1 & 11\\2 & 14\\3 & 17\\4 & 20\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7Dx%20%26%20y%5C%5C0%20%26%208%5C%5C1%20%26%2011%5C%5C2%20%26%2014%5C%5C3%20%26%2017%5C%5C4%20%26%2020%5Cend%7Barray%7D)
Remember that the slope intercept form of the equation of a line is given by:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where:
![m:slope \\ \\ b:y-intercept](https://tex.z-dn.net/?f=m%3Aslope%20%5C%5C%20%5C%5C%20b%3Ay-intercept)
The y-intercept occurs when
, thus from the table:
![b=8](https://tex.z-dn.net/?f=b%3D8)
And the slope can be found as:
![m=\frac{y_{2-y_{1}}}{x_{2}-x_{1}} \\ \\ m=\frac{11-8}{1-0}=3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2-y_%7B1%7D%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%5C%5C%20%5C%5C%20m%3D%5Cfrac%7B11-8%7D%7B1-0%7D%3D3)
Therefore, the equation that represents the table is:
![y=3x+8](https://tex.z-dn.net/?f=y%3D3x%2B8)
Correct option:
A)
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B2%20%5Cfrac%7B13%7D%7B24%7D%7D%7D%7D%7D%7D%20)
Step-by-step explanation:
![\sf{5 \frac{5}{12} - 2 \frac{7}{8} }](https://tex.z-dn.net/?f=%20%5Csf%7B5%20%5Cfrac%7B5%7D%7B12%7D%20%20-%202%20%5Cfrac%7B7%7D%7B8%7D%20%7D)
Convert the mixed number into improper fraction
![\longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%20%20%5Csf%7B%20%5Cfrac%7B5%20%5Ctimes%2012%20%2B%205%7D%7B12%7D%20%20-%20%20%5Cfrac%7B8%20%5Ctimes%202%20%2B%207%7D%7B8%7D%7D%20)
![\longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B60%20%2B%205%7D%7B12%7D%20%20-%20%20%5Cfrac%7B16%20%2B%207%7D%7B8%7D%20%7D%7D)
![\longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B65%7D%7B12%7D%20-%20%20%5Cfrac%7B23%7D%7B8%7D%7D%7D%20%20)
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
![\longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B65%20%5Ctimes%202%20-%2023%20%5Ctimes%203%7D%7B24%7D%20%7D%7D)
![\longrightarrow{ \sf{ \frac{130 - 69}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B130%20-%2069%7D%7B24%7D%7D%7D%20)
![\longrightarrow{ \sf{ \frac{61}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B61%7D%7B24%7D%7D%7D%20)
Convert the improper fraction into mixed number
![\longrightarrow{ \sf{2 \frac{13}{24}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B2%20%5Cfrac%7B13%7D%7B24%7D%7D%7D%20)
Hope I helped!
Best regards! :D
Answer:
need more information
Step-by-step explanation:
Answer:
congruent and perpendicular