Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
1.
Storing milk at temperatures smaller than 35°F can affect its quality of taste.
hence t > 35°F
storing milk at temperatures greater than 40°F is an unsafe food practice. hence
t < 40°F
so correct choice is
C. t > 35 AND t < 40
2.
15| x-7|+4=10|x-7|+4
subtracting 4 both side
15| x-7|+4- 4 =10|x-7|+4 - 4
15| x-7| = 10|x-7|
this is possible when |x-7| = 0
hence x - 7 = 0
x = 7
hence correct choice is
C. only x=7
3.
|x+1|+5=2
we know that , |x+1| ≥ 0
adding 5 both side
|x+1| + 5 ≥ 0 + 5
|x+1| + 5 ≥ 5
hence the relation |x+1|+5=2 is false.
C. no solution
|4x+12|=0
4x+12 = 0
x = -12/4
x = - 3
hence B. solution
|3x|=9
3x = 9
x = 9/3
x = 3
hence
A. two solutions
Answer:
The Pythagorean theorem should help you out. Since you already know two sides of the triangle, you can do a^2 + b^2 = c^2
So in this problem, 16.5^2 + 9.2^2 =
272.25 + 84.64 = 356.89
Pasty you would take the square root of 356.89 and you would get x = 18.89 or 18.9 rounded to the nearest tenth
You can check your work by the Pythagorean theorem once more. 16.5^2 + 9.2^2 = 18.9^2 and you should get the same approximate answer (it will be a little bigger because you rounded)
Answer:
RT=7
Step-by-step explanation:
RS+ST=RT
5x+x+1=5x+2
6x-5x=2-1
x=1
RT=5x+2
RT=7