The equation of the hyperbola is :
The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)
As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin:
The distance from center to focus is 'c' and here focus is at (-50,0)
So, c= 50
Now if the distance from center to the directrix line is 'd', then
Here the directrix line is given as : x= 2304/50
Thus,
⇒
⇒ a² = 2304
⇒ a = √2304 = 48
For hyperbola, b² = c² - a²
⇒ b² = 50² - 48² (By plugging c=50 and a = 48)
⇒ b² = 2500 - 2304
⇒ b² = 196
⇒ b = √196 = 14
So, the equation of the hyperbola is :
Answer:
3/4 cup
Step-by-step explanation:
12 divided by 2 is 6
18 - 12 = 6
we are going to need half of 1 1/2 cup of flour
1 cup = 1/2
1/2 cup = 1/4
1/2 and 1/4 cup = 3/4 cup
The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.
<h3>What is a Rectangle?</h3>
A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).
<h3>What is the Area of a Rectangle?</h3>
The area of a rectangle = (length of rectangle)(width of rectangle).
Given the following parameters for the patio and the bench:
- Length of rectangular patio = x + 20
- Width of rectangular patio = x + 10
- Length of rectangular bench = 6
- Width of rectangular bench = 2
Area to be painted = area of rectangular patio - area of rectangular bench
Area of rectangular patio = (x + 20)(x + 10)
Area of rectangular bench = (6)(2) = 12
Area to be painted = (x + 20)(x + 10) - 12
The answer is: B. A = (x + 20)(x + 10) - 12.
Learn more about the area of rectangle on:
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If you have 1 kilogram of mass, its weight depends on where you take it.
On the surface of the moon, it weighs about 5.84 ounces. But on Earth,
it weighs about 35.3 ounces.
2•3=9 2•2=4 2•2=4 9+4+4=17 the answer is 17