Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
Answer:
No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1
Answer:
(b) √5
Step-by-step explanation:
The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...
The integer 5 is not on that list, so its square root will be irrational.
√5 is irrational
So, let's look at the problem once again.
8%, or 8/100 of the bag were green jelly beans.
Let's see what we can do to find out a number of other jelly beans, not including the green ones.
We know that 92% of jelly-beans are not green.
92% is 11.5 times more than 8%
(92/8)
24 (or 8%) times 11.5 = 276
276 - number of jelly beans that are not green.
276 plus 24 = 300.
Answer: 300 jelly beans were in one bag.
Answer:
6.3
Step-by-step explanation:
First off, we need the distance formula, which is:
If we plug in the points, we get:
If we simplify everything under the square root, we get:
In decimal, the answer is 6.3
