Answer:
FAM, MAI and DHA, AHS
Step-by-step explanation:
I'm not exactly sure, so you don't need to use my answer, but opposite angles are non-adjacent angles formed by two intersecting lines.
8(v−4)+7v=−2
(8)(v)+(8)(−4)+7v=−2
8v+−32+7v=−2
(8v+7v)+(−32)=−2
15v+−32=−2
15v−32=−2
Add 32 to both sides.
15v−32+32=−2+32
15v=30
Divide both sides by 15.
15v/15=30/15
v = 2
Let x stand for a movie.
You can pay $4 every movie or $1.50 for every movie plus the original $10
4x = 1.50x +10
-1.50x -1.50x (Subtraction Property of Equality)
2.50x = 10
/2.50 /2.50 (Division Property of Equality)
x = 4
After 4 movies, the membership will cost less.
Answer:
The values of 
and 
so that the two linear equations have infinite solutions are 
and 
, respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are<em> linearly dependent</em>. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
(1)
(2)
The following condition must be observed:
(3)
After some quick operations, we find the following information:
, 
, 
The values of and so that the two linear equations have infinite solutions are and , respectively.
We shall use a negative sign for an elevation below sea level, and a positive sign for an elevation above sea level.
Given:
Elevation of city A = -96 ft (below sea level)
Elevation of city C = -24 ft (below sea level)
Let x = elevation of city D.
Part A.
Because the elevation of city D is 1/4 of the elevation of city C, therefore
x = (1/4)*(-24)
Part B.
Because 24/4 = 6, therefore
x = -6 ft.
Answer:
The elevation of city D is 6 feet below sea level.
The answer is negative because the elevation is below sea level.
