Answer:
graph c
Step-by-step explanation:
Given
| - 2x | = 4
The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is
- 2x = 4 or - (- 2x) = 4
Solving both
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
The third graph indicates x = - 2 and x = 2 on the number line
Answer:
2 
Step-by-step explanation:
Change the mixed numbers to improper fractions
(
- 
) + 
← the LCM of 2 and 3 is 6
= 
- 
+ 
= 
- 
+ 
= 
+
= 
= 
= 2
Start at 5 on the y axis then go down four and over 1
Answer:
y = -x + 2
Step-by-step explanation:
(-3,5) and (4,-2)
Slope: (-2-5)/(4 - - 3) = -7/7 = -1
y-intercept= -2 - (-1)(4) = -2 + 4 = 2
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
