The equations are parallel because the slopes are opposite reciprocals, which means if you flip -3/2 and multiply by -1 you get 2/3.
Answer:
7 7/8 inches
Step-by-step explanation:
Example:
Start with a 3 inch plant
3 - 1 5/8 = 1 3/8
It grows 9 1/4 but you started at threelsdjf;lasjdflkjsdfl
9 1/4 - 1 3/8 = 7 7/8
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
It would be 13 because you are adding 5 and 8
