Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.
When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis.
short version: distance is positive, and its adding the distances from the x axis to get distance from each other
Answer:
m = 25/28
Step-by-step explanation:
It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).
The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes
(4)(m - 1/7) = 3
... after multiplying every term by 14.
Let's multiply each side by 7 to eliminate the remaining fraction:
4(7m - 1) = 21, or
28m - 4 = 21, or
28m = 25.
Hence, m = 25/28.
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
