Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,
where
Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)
Answer:
3) 27 cubed
4) 72 cubed
5) 125 cubed
8) 27 cubed. 3 is the length, 3 is the width, and 3 is the height.
9) 72 cubed. 6 is the length, 3 is the width, and 4 is the height.
10) 125 cubed. 5 is the length, 5 is the width, and 5 is the height.
Step-by-step explanation
Here's what to show if your teacher requires for you to show your work.
3) 3 x 3 x 3 = 27
4) 6 x 3 x 4 = 72
5) 5 x 5 x 5 = 125
8) 3 x 3 x 3 = 27
9) 6 x 3 x 4 = 72
10) 5 x 5 x 5 = 125
These are the ones I'd suggest putting the up and down form on.
10) and 5) Also put 5 x 5 = 25. 4) and 9) Also put 6 x 3 = 18.
<em>2 3</em>
25 18
<u>x 5 </u> <u>x 4 </u>
125 72
Hoped this answered everything! Feel free to ask me if there's something I missed! :)
Question 9 answer is 0.375
Question 10 answer is 0.03125
