Answer:
Square
Step-by-step explanation:
Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.
1. Find all sides lengths:

All sides have the same lengths.
2. Find the slopes of all lines:

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.
The slopes
and
have the product of

then lines are pairwise perpendicular.
This means PQRS is a square.
For these models there are methods such as the perturbation method which can<span> be used to find an approximate analytical solution within a certain range. The </span>advantage<span> here over a </span>numerical<span> solution is that </span>you<span> end up with an equation (</span><span>instead of just a long list of numbers) which </span>you can<span> gain some insight from.</span>
Answer:
x^3 +8x^2 +13
Step-by-step explanation:
(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)
Distribute the minus sign
6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16
Combine like terms
x^3 +8x^2 +13
Answer:
x=3; x=-3; x=√5; x=-√5
Step-by-step explanation:
Answer:
1) n= 20.5
2) t= -17/3
Step-by-step explanation:
1) -4n + 20 = -62
-4n = -82
n = 20.5
2) -3t = 17
t = -17/3