The distance formula can be used to prove a quadrilateral has select one:
2 answers:
Answer: d. congruent sides
Explanation:
The distance formula is a formula in geometry to calculate the length of a line segment having two distinct point on a Cartesian plane
The distance formula to calculate the distance between two distinct points A(a,b) and B(p,q) is given by :-
Since it is used to calculate the distance between two points therefore, it is used to check whether a quadrilateral has congruent sides.
Hence, the distance formula can be used to prove a quadrilateral has <u>congruent sides</u>.
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2.
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where
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In this problem:
is the total distance travelled by the laser beam (twice the distance between the Earth and the Moon)
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Substituting in the formula,
Answer:
Explanation:
An inelastic collision is one where 2 masses collide and stick together, moving as a single mass after the collision occurs. When we talk about this type of momentum conservation, the momentum is conserved always, but the kinetic momentum is not (the velocity changes when they collide). Because there is direction involved here, we use vector addition. The picture before the collision has the truck at a mass of 3520 kg moving north at a velocity of 18.5. The truck's momentum, then, is 3520(18.5) = 65100 kgm/s; coming at this truck is a car of mass 1480 kg traveling east at an unknown velocity. The car's momentum, then, is 1480v. The resulting vector (found when you pick up the car vector and stick the initial end of it to the terminal end of the truck's momentum vector) forms the hypotenuse of a right triangle where one leg is 65100 kgm/s, and the other leg is 1480v. Since we already know the final velocity of the 2 masses after the collision, we can use that to find the final momentum, which will serve as the resultant momentum vector in our equation (we'll get there in a sec). The final momentum of this collision is
p = mv and
p = (3520 + 1480)(13.6) so
p = 68000. Final momentum. The equation for this is a take-off of Pythagorean's Theorem and the one used to find the final magnitude of a resultant vector when you first began your vector math in physics. The equation is
which, in words, is
the final momentum after the collision is equal to the square root of the truck's momentum squared plus the car's momentum squared. Filling in:
and
and
and
and
so
v = 13.3 m/s at 72.6°