Lin runs 5 laps around a track in 6 minutes.
1 answer:
You might be interested in
Answer:
The length of the shortest side of the triangle is 10 units.
Step-by-step explanation:
Let <em>a</em> be the shortest side of the isosceles triangle and <em>b</em> be the two congruent sides.
The congruent sides <em>b</em> are each one unit longer than the shortest side. Hence:
The perimeter of the isosceles triangle is given by:
This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be <em>s</em>. Hence:
The perimeter of the square is:
Since the two perimeters are equivalent:
Substitute for <em>b: </em>
<em /><em />
Solve for <em>a</em>. Distribute:
Simplify:
Hence:
The length of the shortest side of the triangle is 10 units.
Answer:
We have the equation,
i.e.
i.e.
It is required to find a system of equations having infinite solutions.
We know that,
'When the equations are dependent or their graphs are same, the system of equations has infinite number of solutions'.
So, we can take any equation having same graph as that of .
Let, us take
So, from the graph of these equations below, we get the system of equations having infinite solutions as,
and
.
