Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to 
. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
Jamal-3 x 3 = 9 x 4 = 36
Andy- 4 x 2 = 8 x 5 = 45
Andy's surface area is bigger.
Answer: c)
Step-by-step explanation:
This can be done through trial-and-error. Use the pythagoreas' theorem 
and if the left side of the equation is equal to the right, that is the answer.
(Do take note that c is the longest side.)
a)
Since 
, a) is wrong.
b)
Since 
, b) is wrong.
c) (answer)
Since 
, c) is correct.
d)
Since 
, d) is wrong.
Answer:
the area is multiplied by 3
Step-by-step explanation:
if the diagonal is multiplied by 3 than the area will "grow larger" by 3.
