Answer:
center: (0,0)
vertices: (-4,0) and (4,0)
foci: (-10.8,0) and (10.8,0)
asymptotes: y = -5/2*x and y = 5/2*x
Step-by-step explanation:
Hyperbola with center as origin general equation is:
x²/a² - y²/b² = 1
Our equation is:
25x² - 4y² = 400
Dividing each term by 400:
25x²/400 - 4y²/400 = 400/400
x²/16 - y²/100 = 1
which matches the general equation. Then, the center is (0,0)
a² = 16
a = 4
b² = 100
b = 10
c² = a² + b²
c = √(16+100) = 10.8
General vertices formula: (±a,0). Replacing, the vertices are: (-4,0) and (4,0)
General foci formula: (±c,0). Replacing, the foci are: (-10.8,0) and (10.8,0)
General asymptotes formula: y = ±b/a*x. Replacing, the asymptotes are:
y = -10/4*x = -5/2*x
y = 10/4*x = 5/2*x
Answer:
6 bouquet
Step-by-step explanation:
To obtain the greatest number of bouquet she could have ;
Obtain the greatest common factor of 18 and 24
Factors of 18 : 1 , 2, 3, 6, 9, 18
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
The greatest factor commo to both 18 and 24 is 6.
Hence, the greatest number of bouquet she could have is 6.
Answer:
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is that they are alternate interior angle and alternate interior are always equal.
Well, to solve, you would subtract 8 from both sides, which means x would end up equaling 32.
X=32
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.
Now, by the intersecting chord theorem,
16×4 = <em>x</em> × <em>x</em>
or
<em>x</em> ² = 64
so that
<em>x</em> = 8
