For a hyperbola
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
Answer:
The distance between the two playing pieces is of 6.4 units.
Step-by-step explanation:
Suppose we have two points:
The distance between these points is:
Distance between:
A(-2,3) and B(3,-1)
The distance between the two playing pieces is of 6.4 units.
Answer:
The triangle is an obtuse scalene triangle
Step-by-step explanation:
we know that
if 
--------> is a right triangle
if 
--------> is an obtuse triangle
if 
--------> is an acute triangle
where
c is the greater side
we have
so
so
-------> is an obtuse triangle
Remember that
The given triangle has three different length side
so
Is a scalene triangle
therefore
The triangle is an obtuse scalene triangle
Using the standards of conversions, we will find that 1 hg is equivalent to 10000 cg.
Therefore, to convert 420 hg to cg, all you have to do is cross multiplication as follows:
420 hg = (420 x 10000) / 1 = 4200000 cg
The correct choice is: 4200000
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is
"It takes 9 seconds for the rock to reach the water."
