The answer is A because Alon could have rotated the figure and discovered that they are congruent
It takes 4.3 seconds for the rocket to return to earth.
The equation is:

where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:

We will use the quadratic formula to solve this. The quadratic formula is:

Plugging in our information we have:

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
Answer:
y-coordinate = 0
Step-by-step explanation:
Consider the below diagram attached with this question.
Section formula:
If a point divides a line segment in m:n whose end points are
and
, then the coordinates of that point are

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.
Using section formula, the coordinates of that point are




Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.
Answer:
Case 1:


Case 2:


Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:

This gives:



Take square roots of both sides


To calculate BC, we consider ANC, where:



Collect like terms


Take square roots


So:



Case 2:
Using Pythagoras theorem in ANB, we have:

This gives:


Collect like terms


Take square roots of both sides


To calculate BC, we consider ABC, where:



Collect like terms


Take square roots


Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)