9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
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<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
Step-by-step explanation:
Use midpoint formula,
x = -6/2 = -3 , y=2/2 =1
(x,y)=(-3,1)
so , the coordinates of mid point of line segment is M (-3,1)
Answer: y= 1200 (1.025)^t
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
1200= 1200 (1+ 2.5/100)^5
1200= 1200 (1+ 0.025)^5
1200= 1200 (1.025)^5
For the number of rabbits, y, at the end of t years
y= 1200 (1.025)^t
Feel free to ask for more if needed or if you did not understand something.
The answer is the lengths of all the sides/D you welcome