Answer:
x+2y=12-------(1)
x-2y=3---------(2)
Adding equations 1 and 2
we get
2x=18
x=9
Equation 1
9+2y=15
2y=15-9
2y=6
y=3
The solution of the given system is x=9, y=3
Step-by-step explanation
Answer:
Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation
Answer:
20
Step-by-step explanation:
10 percent = 2 (for this problem anyways)
So the remaining amount is 8, which leaves us with 12.
On the third bounce, it will bounce (1/4)*(1/4)*(1/4) = (1/4)^3 times as high.
This means it will bounce up to 256*1/64 = 4 feet high.
Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.
It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem we can total those pennies until day-27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, you have 2^26 pennies.. a big number of pennies huh?=))
{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}
