Answer:
An adult ticket is 17
A childs ticket costs 12 dollars
Step-by-step explanation:
Let a = adult price
c = child price
3a + 4c = 99
2a + 3c = 70
Multiply the first equation by 2
2(3a + 4c) = 99*2
6a + 8c = 198
Multiply the second equation by -3
-3 (2a + 3c) = 70*-3
-6a -9c = -210
Add these new equations together
6a + 8c = 198
-6a -9c = -210
----------------------
-c = -12
Multiply by -1
c = 12
A childs ticket costs 12 dollars
Now we need to find the price of an adult ticket
2a + 3c = 70
2a + 3(12) = 70
2a +36 = 70
Subtract 36 from each side
2a +36-36 =70-36
2a = 34
Divide by 2
2a/2 = 34/2
a = 17
An adult ticket is 17
If the planes are parallel to one another then they will never intersect (assuming they are distinct planes as the question states).
Otherwise they will intersect along a single line.
Therefore the answer is NEVER - they can never intersect in a pair of lines.
Step-by-step explanation:
A. 18√2
= 25.4558441227
B. 18/√3
= 6√3
= 10.39230485
C. 18√2 /√3
= 6√6
= 14.69693846
D. 18 · √3 / √2
= 9√6
= 22.04540769
Answer:
a. is True.
Step-by-step explanation:
Collinear points are on the same line.
The converse is:
If the points are on the same line the the points are collinear. This is True.
These are the steps needed for this question hope this helps if there is any more questions do feel free to ask them