Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
Answer:
b=11.6m
Step-by-step explanation:
If this is a right triangle;
a^2+b^2=c^2
A and B are both LEGS, while C is the HYPOTENUSE
(8.7^2)+b^2=(14.5^2)
b^2=(14.5^2)-(8.7^2)
b^2=134.56
b=plus or minus 11.6
Because length can't be negative, it's +11.6
Can you take a pic of the problem?
Step-by-step explanation:
So first off we want to find out how many miles Nina can ride in 3,600
For this we have to convert 63,360 feet into miles
If there are 5,280 feet in one mile than we need to see how many times 5,280 goes in to 63,360
divide 63,360 by 5,280: you get 12
This means that she can bike 12 miles in 3,600 seconds
3,600 seconds is the same as an hour
Answer:
Nina can bike 12 miles per hour
