Answer:
the equation of the hyperbola is;(x²/81) - (y²/1600) = 1
Step-by-step explanation:
We are given that the hyperbola has;
Centre; 0,0
Vertex; 9,0
Focus; 41,0
Thus,the vertex and focus are on the x-axis. Thus, the equation for the hyperbola will have the form;
(x²/a²) - (y²/b²) = 1
Since The vertex is (9,0),so
a = 9 and a² = 9² = 81
Also,Since The focus is (41,0),so
c = 41 and c² = 41² = 1681
Solving for b², we have;
b² = c² - a²
b² = 1681 - 81
b² = 1600
b = √1600
b = 40
Thus,equation of hyperbola is;
(x²/9²) - (y²/40²) = 1
Which gives;
(x²/81) - (y²/1600) = 1
The answer is 12, 3 times 12 is 36
Answer:
5 pickles and 1.4 bags of popcorn
Step-by-step explanation:
5x 65= 375
695 - 375= 370
370 ÷ 250 = 1.4
Answer:
A) 180°
(-x,-y)
B) 90°
(y,-x)
C) 270°
(-y,x)
Step-by-step explanation:
A) 180°
(-x,-y)
B) 90°
(y,-x)
C) 270°
(-y,x)
Answer:
78
Step-by-step explanation:
Mode = number that appears most in a set of numbers
The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!