Answer:
y = x/2 + 5/2
Step-by-step explanation:
Plug in and Solve. First find the perpendicular slope to y = -2x -4. It is the negative reciprocal, so m = 1/2.
Answer:
3 m = 2244 : m = number of books in bookshop
Above equation can be used to find the number of books in the bookshop.
Step-by-step explanation:
Let us assume, the number of books in the bookshop = m
So, the number of magazines = 3 x (number of books)
= 3 x (m) = 3 m
Also, total number of magazines in the bookshop = 2244
⇒ 3 m = 2244
Hence, the above equation can be used to find the number of books in the bookshop.
Now, 3 m = 2244 ⇒ m = 2244/ 3 = 748
or, the <u>number of books in the bookshop = 748.</u>
Let x = green pepper plants
2x = red pepper plants
2x + x = 12
3x = 12
x = 12/3
x = 4
Answer:
-3mn^3 and -5mn^3
Step-by-step explanation:
-3mn^3 and -5mn^3
The coordinates of the point P on directed line segment AB that partitions AB in the ratio 2 to 3 are: ![(\frac{1}{5},\frac{-12}{5})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%2C%5Cfrac%7B-12%7D%7B5%7D%29)
Step-by-step explanation:
The formula for finding the coordinates of a point that divides the line in ratio m:n are given by:
![P = (\frac{nx_1+mx_2}{m+n},\frac{ny_1+my_2}{m+n} )](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7Bnx_1%2Bmx_2%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bny_1%2Bmy_2%7D%7Bm%2Bn%7D%20%29)
Here (x1,y1) and (x2,y2) are coordinates of the two points line passed through
Given
(x1,y1) = A(-3,-4)
(x2,y2) = B(5,0)
Ratio: 2:3
m = 2
n = 3
Putting the values in the formula
![P = (\frac{(3)(-3)+(2)(5)}{2+3},\frac{(3)(-4)+(2)(0)}{2+3} )\\P = (\frac{-9+10}{5},\frac{-12+0}{5})\\P = (\frac{1}{5},\frac{-12}{5})](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7B%283%29%28-3%29%2B%282%29%285%29%7D%7B2%2B3%7D%2C%5Cfrac%7B%283%29%28-4%29%2B%282%29%280%29%7D%7B2%2B3%7D%20%29%5C%5CP%20%3D%20%28%5Cfrac%7B-9%2B10%7D%7B5%7D%2C%5Cfrac%7B-12%2B0%7D%7B5%7D%29%5C%5CP%20%3D%20%28%5Cfrac%7B1%7D%7B5%7D%2C%5Cfrac%7B-12%7D%7B5%7D%29)
Hence,
The coordinates of the point P on directed line segment AB that partitions AB in the ratio 2 to 3 are: ![(\frac{1}{5},\frac{-12}{5})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%2C%5Cfrac%7B-12%7D%7B5%7D%29)
Keywords: Coordinate geometry, ratio
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