Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change the mixed number to an improper fraction
2 1/2 = (2*2+1)/2 = 5/2
5/2 ÷ 1/3
Copy dot flip
5/2 *3/1 = 15/2
Changing back to a mixed number
2 goes into 15 7 times with 1 left over
7 1/2
We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
Answer:
What were two of the important points found in the Monroe Doctrine?
All European nations had to give up their colonies and allow for individual autonomy.
The United States would not allow additional colonization of Latin American nations.
America would not interfere with already established Latin American colonies.
All trade agreements with Latin American nations had to go through the United States.
Step-by-step explanation: