Answer:
Only option A is correct.
Step-by-step explanation:
From the given figure it is noticed that the vertices of hyperbola are (0,8) and (0,-8). It is a vertical hyperbola.
It means a=8.
From the rectangle we can say that the value of b is 6.




The focus of a vertical hyperbola are (0,c) and (0,-c). So, the focus of hyperbola are (0,10) and (0,-10).
Therefore option A is correct.
Asymptotes of a vertical hyperbola are



Directrix of a vertical hyperbola are



Only option A is correct.
Answer:
children's: 111 and adults: 62
Explanation:
- given total number of people 173
- total amount received is $306
- during the process, we shall consider x as children and y as adult
make equations:
x + y → 173 [ this was from total people ]
1.5x + 2.25y → $306 [ this was from cost ]
try to make x the subject:
x + y → 173
x → 173 - y ______equation 1
1.5x + 2.25y → $306
1.5x → 306 - 2.25y
x →
__________equation 2
solve them simultaneously:
= 173 - y
306 - 2.25y = 259.5 - 1.5y
-2.25 + 1.5y = 259.5 - 306
-0.75y = -46.5
y = 62
so there were total 62 adults that day in the public swimming pool.
find children's using:
x → 173 - y
x → 173 - 62
x → 111
so there were total 111 children's that day in the public swimming pool.
Answer:
39 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
Let:
base = b = 4 ft
height = h = 3 ft
Solve for the area of the triangle:
A = 1/2(4)(3)
A = 2 * 3
A = 6 ft²
Area of a rectangle = bh
Let:
base = b = 9 ft
height = h = 5 ft
Solve for the area of the rectangle:
A = (9)(5)
A = 9 * 5
A = 45 ft²
Subtract the area of the triangle from the area of the rectangle:
45 - 6 = 39 ft²
39 ft² is your answer.
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Answer:
C. 8, 11, 12, 13, 3, 8, 16, 13, 10
Step-by-step explanation:
If you put those in order least to greatest, least is 3, greatest is 16, median is 11, q1 is 8, and q3 is 13, which is what is displayed on the box plot
Answer:
I don't get the question...
Step-by-step explanation:
Please elaborate more...
Thank you!