The addition property of equality justifies this. You could also say that she simply subtracted 7, and then it would be the subtraction property of equality. This is the case because if you add or subtract (or multiply or divide) the same number on both sides of an equation, the equation will still be the same.
Hope it helps!
The function models Exponential Decay due to the fact that as
x -> infinity, y-> 0
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Answer:
D
Step-by-step explanation:
The boxes with whole numbers in them written as coordinates:
(-4, -11)
(8, -8)
we know gradient is rise over run, or (y2 - y1) / (x2 - x1)
gradient = (-8 - -11) / (8 - -4)
gradient = 3 / 12
gradient = ¼
Answer
k = -1
Step-by-step explanation:
First we turn the equation into y = mx+b format then we we can plug in the value y= 4 and get 4 = -2x + 2
subtract two from both sides so 2= -2x divide btoh sides by 2 and get x = -1
