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.
Answer:
The answer is 32.63
Step-by-step explanation:
<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.
Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
Answer:
![75\sqrt{2}(\sqrt{3}-1)](https://tex.z-dn.net/?f=75%5Csqrt%7B2%7D%28%5Csqrt%7B3%7D-1%29)
Step-by-step explanation:
In every right triangle, a leg is given by the multiplication of the sine of its opposite angle and the hypothenuse.
In this case, the opposite angle of x is 15°, and the hypothenuse is 300. So, we have
![x = 300\sin(15) = 75\sqrt{2}(\sqrt{3}-1)](https://tex.z-dn.net/?f=x%20%3D%20300%5Csin%2815%29%20%3D%2075%5Csqrt%7B2%7D%28%5Csqrt%7B3%7D-1%29)
35,000 cm = .35 km
is your answer