350 hm/h is 217.48 Miles an hour
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points
and
in m:n, then the coordinates of that point are
![Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=Point%3D%5Cleft%28%5Cdfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cdfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Point G divide the line segment FH in 8:2. Using section formula, we get
![G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)](https://tex.z-dn.net/?f=G%3D%5Cleft%28%5Cdfrac%7B8%288%29%2B2%28-8%29%7D%7B8%2B2%7D%2C%5Cdfrac%7B8%286%29%2B2%28-2%29%7D%7B8%2B2%7D%5Cright%29)
![G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)](https://tex.z-dn.net/?f=G%3D%5Cleft%28%5Cdfrac%7B64-16%7D%7B10%7D%2C%5Cdfrac%7B48-4%7D%7B10%7D%5Cright%29)
![G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)](https://tex.z-dn.net/?f=G%3D%5Cleft%28%5Cdfrac%7B48%7D%7B10%7D%2C%5Cdfrac%7B44%7D%7B10%7D%5Cright%29)
![G=\left(4.8,4.4\right)](https://tex.z-dn.net/?f=G%3D%5Cleft%284.8%2C4.4%5Cright%29)
Therefore, the coordinates of point G are (4.8, 4.4).
Answer:
oytqlrvlh<u>q</u><u>x</u><u>t</u><u>q</u><u>l</u><u>x</u><u>p</u><u>l</u><u>y</u><u>m</u><u>p</u><u>x</u><u>m</u><u>h</u><u>m</u><u>r</u>
Step-by-step explanation:
given:
$12.50- the price of the tshirts
40- the tshirts they have sold
$850- the raise they need
solve:
$12.50 × 40 = $500 (the price of tshirts and tshirts they have sold)
$850 - $500 = $350 (the raise they need and the money they have so far from the 40 tshirts they have sold)
$350 ÷ $12.50 = 28 (the money they lack and the price of a tshirt)
answer:
thus, they need to sell 28 more tshirts to have the raise of at least $850
hope this helps, good luck! :)
The recursive formula
can be used to generate the shown sequence
Step-by-step explanation:
Recursive formula is the formula that is used to generate the next term of a sequence using previous term.
The general form of arithmetic sequence's recursive formula is:
![a_n = a_{n-1}+d](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D%2Bd)
Given
5,-1,-7,-13,-19
Here
![a_1 = 5\\a_2 = -1\\a_3 = -7](https://tex.z-dn.net/?f=a_1%20%3D%205%5C%5Ca_2%20%3D%20-1%5C%5Ca_3%20%3D%20-7)
First of all we have to find the common difference of the sequence.
So,
![d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6](https://tex.z-dn.net/?f=d%20%3D%20a_2%20-a_1%20%3D%20-1-5%20%3D%20-6%5C%5Cd%20%3D%20a_3-a_2%20%3D%20-7%2B1%20%3D%20-6)
Putting the value of d in the general recursive formula
![a_n = a_{n-1}-6](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D-6)
Hence,
The recursive formula
can be used to generate the shown sequence
Keywords: Sequence, arithmetic sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly