For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:
Clearing d we have:
Answer:
A functions that would best model the situation above is:
D square root
The given expression can be written as 
= (q+8)(q+4).
Step-by-step explanation:
Given,
To make it a complete square.
Formula
(a+b)² = 
Now,
= 
= (q+6)²-36+32
= (q+6)²-4
= (q+6)²-2²
= (q+6+2)(q+6-2)
= (q+8)(q+4)
Answer:
93.75 hours
Step-by-step explanation:
5500-4000=1500
1500/16=93.75
Answer:
They both would cross each other again in the next 5 minutes
Step-by-step explanation:
The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.
That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.
That would be 3.6 miles per minute.
Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.
That would be 18/3.6 = 5
This means they would cross each other again in the next 5 minutes
Answer:
A and B
Step-by-step explanation:
1) Distance to the focus
From (x,y) to the focus(2,-4) {using distance formula}
=√(x-2)²+(y+4)²
2) Distance to the directrix
Is, y+p where P here is (-6)
So
d2 = y+p
= y+(-6)
= y-6
