Answer:
True options: 1, 2 and 5
Step-by-step explanation:
From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)
There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.
The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.
The foci are not placed within the rectangular reference box, so this option is false.
The directrices are vertical lines with equations
, so this option is true.
Answer:
1833 fans per hour
Step-by-step explanation:
Ingress is entering and Egress is exiting.
Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.
Thus,
Ingress Rate = 5500/3 = 1833.33
Rounding to whole number, we have 1833 fans per hour
9514 1404 393
Answer:
Object 1 is the heaviest object.
Step-by-step explanation:
The first column of the table tells you ...
Object 1 is heavier than the 10 kg weight
The second column of the table tells you ...
Object 2 weighs 10 kg
The third column of the table tells you ...
Object 3 is lighter than the 10 kg weight
Then the relative weights are ...
Object 1 > Object 2 > Object 3
That is, Object 1 is the heaviest object.
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Answer:
0.54 ounces in each tube
Step-by-step explanation:
Add the amount she used so we can add it in. 1.35+0.27= 1.62. Then divide it by the number of tube and since it was a 3 pack you divide it by 3. 1.62/3=0.54 so there is 0.54 ounces in each tube.