Answer:
t = 2.52 seconds
Step-by-step explanation:
h=139-15t-16t^2
We want to know when the ball hits the ground
That would be when h=0
0 = 139-15t-16t^2
We can use the quadratic formula to find t
t = -b ± sqrt(b^2-4ac)
----------------------
2a
where a = -16 b = -15 and c = 139
t = -(-15) ± sqrt((-15)^2-4(-16)139)
----------------------
2(-16)
t = (15) ± sqrt(225+8896)
----------------------
-32
t = (15) ± sqrt(9121)
----------------------
-32
t = 15+ sqrt(9121) t = 15- sqrt(9121)
-------------------- or -------------------
-32 -32
-3.453247707 or 2.515747707
Since time cannot be negative
2.515747707
Round to the nearest hundredth
t = 2.52 seconds
The answer would be y=1/7x-4
Answer:

Step-by-step explanation:
Where p is the distance from focus to vertex, the equation of the parabola with focus at (0, p) is ...

Your parabola has p=9, so the equation is ...

Answer: option c.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

Therefore, the answer is the option c.
Answer and Step-by-step explanation:
The sides we have are 7,
, and
.
The square root of 80 is less than 9 but greater than 8 (because
is 64,
is 81, and 80 is in between those two values), and the square root of 31 is definitely less than the square root of 80.
So,
is the longest side.
1) The square of
is: 
2) The sum of the squares of the two shorter sides is:

3) Since the square of the longest side is equal to the sum of the squares of the two shorter sides, by the Pythagorean Theorem, the triangle is a right triangles.
Hope this helps!