Answer:
Step-by-step explanation:
The area for a triangle is
Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:
We can get rid of the denominator of 2 by multiplying it on both sides to get:
and simplifying a bit:
Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:
which is choice C
Step-by-step explanation:
The time dilation formula is given by
where t is the time measured by the moving observer and F(t) is the time measured by the stationary earth-bound observer and <em>v</em><em> </em> is the velocity of the moving observer expressed as a fraction of the speed of light.
a) If the observer is moving at 80% of the speed of light and observes an event that lasts for 1 second, a stationary observer will see the same event occurring over a time period of
This means that any event observed by this moving observer will be seen by a stationary observer to occur 67% longer.
b) Given:
t = 1 second
F(t) = 2 seconds
We need to find the speed of the observer such that an event seen by this observer will occur twice as long as seen by a stationary observer. Move the term containing the radical to the left side so the equation becomes
Take the square of both sides, we get
Solving for <em>v</em>, we get
or
Putting in the values for t and F(t) we get
This means that the observer must moves at 86.6% of the speed of light.
